TSTP Solution File: SWC240+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC240+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 04:00:48 EDT 2024
% Result : Theorem 0.66s 0.81s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 89 ( 10 unt; 0 def)
% Number of atoms : 582 ( 141 equ)
% Maximal formula atoms : 40 ( 6 avg)
% Number of connectives : 799 ( 306 ~; 280 |; 173 &)
% ( 7 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 221 ( 153 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f824,plain,
$false,
inference(avatar_sat_refutation,[],[f597,f613,f649,f657,f692,f696,f817,f823]) ).
fof(f823,plain,
~ spl53_20,
inference(avatar_contradiction_clause,[],[f822]) ).
fof(f822,plain,
( $false
| ~ spl53_20 ),
inference(trivial_inequality_removal,[],[f820]) ).
fof(f820,plain,
( nil != nil
| ~ spl53_20 ),
inference(superposition,[],[f548,f816]) ).
fof(f816,plain,
( nil = sK49
| ~ spl53_20 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f814,plain,
( spl53_20
<=> nil = sK49 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_20])]) ).
fof(f548,plain,
nil != sK49,
inference(definition_unfolding,[],[f535,f534]) ).
fof(f534,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
( ! [X5] :
( ~ memberP(sK49,X5)
| sK51 = X5
| ~ ssItem(X5) )
& ssItem(sK51)
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ( ~ leq(X6,sK52(X6,X7,X8))
& lt(X6,sK52(X6,X7,X8))
& memberP(X8,sK52(X6,X7,X8))
& memberP(X7,sK52(X6,X7,X8))
& ssItem(sK52(X6,X7,X8)) )
| app(app(X7,cons(X6,nil)),X8) != sK47
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK47
& sK47 = sK49
& sK48 = sK50
& ssList(sK50)
& ssList(sK49)
& ssList(sK48)
& ssList(sK47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50,sK51,sK52])],[f223,f337,f336,f335,f334,f333,f332]) ).
fof(f332,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X6,X9)
& lt(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != X0
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X6,X9)
& lt(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK47
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK47
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X6,X9)
& lt(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK47
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK47
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X6,X9)
& lt(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK47
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK47
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X6,X9)
& lt(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK47
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK47
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(sK49,X5)
| X4 = X5
| ~ ssItem(X5) )
& ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X6,X9)
& lt(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK47
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK47
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
& ssList(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(sK49,X5)
| X4 = X5
| ~ ssItem(X5) )
& ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X6,X9)
& lt(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK47
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK47
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
=> ( ? [X4] :
( ! [X5] :
( ~ memberP(sK49,X5)
| X4 = X5
| ~ ssItem(X5) )
& ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X6,X9)
& lt(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK47
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK47
& sK47 = sK49
& sK48 = sK50
& ssList(sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
( ? [X4] :
( ! [X5] :
( ~ memberP(sK49,X5)
| X4 = X5
| ~ ssItem(X5) )
& ssItem(X4) )
=> ( ! [X5] :
( ~ memberP(sK49,X5)
| sK51 = X5
| ~ ssItem(X5) )
& ssItem(sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
! [X6,X7,X8] :
( ? [X9] :
( ~ leq(X6,X9)
& lt(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
=> ( ~ leq(X6,sK52(X6,X7,X8))
& lt(X6,sK52(X6,X7,X8))
& memberP(X8,sK52(X6,X7,X8))
& memberP(X7,sK52(X6,X7,X8))
& ssItem(sK52(X6,X7,X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X6,X9)
& lt(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != X0
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ memberP(X2,X5)
| X4 = X5
| ~ ssItem(X5) )
& ssItem(X4) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X6,X9)
& lt(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != X0
& 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)
=> ( ! [X4] :
( ssItem(X4)
=> ? [X5] :
( memberP(X2,X5)
& X4 != X5
& ssItem(X5) ) )
| ? [X6] :
( ? [X7] :
( ? [X8] :
( ! [X9] :
( ssItem(X9)
=> ( leq(X6,X9)
| ~ lt(X6,X9)
| ~ memberP(X8,X9)
| ~ memberP(X7,X9) ) )
& app(app(X7,cons(X6,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
| nil = X0
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X8] :
( ssItem(X8)
=> ? [X9] :
( memberP(X2,X9)
& X8 != X9
& ssItem(X9) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ssItem(X7)
=> ( leq(X4,X7)
| ~ lt(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X0
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X8] :
( ssItem(X8)
=> ? [X9] :
( memberP(X2,X9)
& X8 != X9
& ssItem(X9) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ssItem(X7)
=> ( leq(X4,X7)
| ~ lt(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X0
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.HyQEy243Zi/Vampire---4.8_29906',co1) ).
fof(f535,plain,
nil != sK47,
inference(cnf_transformation,[],[f338]) ).
fof(f817,plain,
( ~ spl53_7
| spl53_20
| ~ spl53_18
| ~ spl53_19 ),
inference(avatar_split_clause,[],[f812,f694,f690,f814,f621]) ).
fof(f621,plain,
( spl53_7
<=> ssList(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_7])]) ).
fof(f690,plain,
( spl53_18
<=> ! [X0,X1] :
( ~ ssItem(X0)
| memberP(nil,sK52(X0,nil,X1))
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_18])]) ).
fof(f694,plain,
( spl53_19
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ssItem(sK52(X0,nil,X1))
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_19])]) ).
fof(f812,plain,
( nil = sK49
| ~ ssList(sK49)
| ~ spl53_18
| ~ spl53_19 ),
inference(equality_resolution,[],[f811]) ).
fof(f811,plain,
( ! [X0] :
( sK49 != X0
| nil = X0
| ~ ssList(X0) )
| ~ spl53_18
| ~ spl53_19 ),
inference(duplicate_literal_removal,[],[f810]) ).
fof(f810,plain,
( ! [X0] :
( sK49 != X0
| nil = X0
| ~ ssList(X0)
| nil = X0
| ~ ssList(X0) )
| ~ spl53_18
| ~ spl53_19 ),
inference(resolution,[],[f809,f427]) ).
fof(f427,plain,
! [X0] :
( ssItem(sK44(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0] :
( ( cons(sK44(X0),sK43(X0)) = X0
& ssItem(sK44(X0))
& ssList(sK43(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f125,f307,f306]) ).
fof(f306,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK43(X0)) = X0
& ssItem(X2) )
& ssList(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK43(X0)) = X0
& ssItem(X2) )
=> ( cons(sK44(X0),sK43(X0)) = X0
& ssItem(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.HyQEy243Zi/Vampire---4.8_29906',ax20) ).
fof(f809,plain,
( ! [X0] :
( ~ ssItem(sK44(X0))
| sK49 != X0
| nil = X0
| ~ ssList(X0) )
| ~ spl53_18
| ~ spl53_19 ),
inference(duplicate_literal_removal,[],[f808]) ).
fof(f808,plain,
( ! [X0] :
( ~ ssItem(sK44(X0))
| sK49 != X0
| nil = X0
| ~ ssList(X0)
| nil = X0
| ~ ssList(X0) )
| ~ spl53_18
| ~ spl53_19 ),
inference(resolution,[],[f806,f426]) ).
fof(f426,plain,
! [X0] :
( ssList(sK43(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f806,plain,
( ! [X0] :
( ~ ssList(sK43(X0))
| ~ ssItem(sK44(X0))
| sK49 != X0
| nil = X0
| ~ ssList(X0) )
| ~ spl53_18
| ~ spl53_19 ),
inference(superposition,[],[f805,f428]) ).
fof(f428,plain,
! [X0] :
( cons(sK44(X0),sK43(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f805,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK49
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl53_18
| ~ spl53_19 ),
inference(duplicate_literal_removal,[],[f802]) ).
fof(f802,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK49
| ~ ssItem(X0)
| cons(X0,X1) != sK49
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl53_18
| ~ spl53_19 ),
inference(superposition,[],[f799,f510]) ).
fof(f510,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,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/tmp/tmp.HyQEy243Zi/Vampire---4.8_29906',ax81) ).
fof(f799,plain,
( ! [X0,X1] :
( app(cons(X1,nil),X0) != sK49
| ~ ssItem(X1)
| cons(X1,X0) != sK49
| ~ ssList(X0) )
| ~ spl53_18
| ~ spl53_19 ),
inference(duplicate_literal_removal,[],[f796]) ).
fof(f796,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != sK49
| ~ ssItem(X1)
| ~ ssList(X0)
| app(cons(X1,nil),X0) != sK49 )
| ~ spl53_18
| ~ spl53_19 ),
inference(resolution,[],[f795,f695]) ).
fof(f695,plain,
( ! [X0,X1] :
( ssItem(sK52(X0,nil,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) )
| ~ spl53_19 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f795,plain,
( ! [X0,X1] :
( ~ ssItem(sK52(X0,nil,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != sK49 )
| ~ spl53_18 ),
inference(duplicate_literal_removal,[],[f779]) ).
fof(f779,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK49
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK52(X0,nil,X1))
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl53_18 ),
inference(superposition,[],[f700,f510]) ).
fof(f700,plain,
( ! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK52(X0,nil,X1)) )
| ~ spl53_18 ),
inference(resolution,[],[f691,f452]) ).
fof(f452,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.HyQEy243Zi/Vampire---4.8_29906',ax38) ).
fof(f691,plain,
( ! [X0,X1] :
( memberP(nil,sK52(X0,nil,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK49 != app(cons(X0,nil),X1) )
| ~ spl53_18 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f696,plain,
( ~ spl53_1
| spl53_19
| ~ spl53_6 ),
inference(avatar_split_clause,[],[f672,f611,f694,f591]) ).
fof(f591,plain,
( spl53_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_1])]) ).
fof(f611,plain,
( spl53_6
<=> ! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sK52(X0,nil,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_6])]) ).
fof(f672,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssList(X1)
| ssItem(sK52(X0,nil,X1)) )
| ~ spl53_6 ),
inference(duplicate_literal_removal,[],[f671]) ).
fof(f671,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sK52(X0,nil,X1)) )
| ~ spl53_6 ),
inference(resolution,[],[f421,f612]) ).
fof(f612,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sK52(X0,nil,X1)) )
| ~ spl53_6 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f421,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,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/tmp/tmp.HyQEy243Zi/Vampire---4.8_29906',ax16) ).
fof(f692,plain,
( ~ spl53_1
| spl53_18
| ~ spl53_2 ),
inference(avatar_split_clause,[],[f673,f595,f690,f591]) ).
fof(f595,plain,
( spl53_2
<=> ! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sK52(X0,nil,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f673,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssList(X1)
| memberP(nil,sK52(X0,nil,X1)) )
| ~ spl53_2 ),
inference(duplicate_literal_removal,[],[f670]) ).
fof(f670,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(nil)
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sK52(X0,nil,X1)) )
| ~ spl53_2 ),
inference(resolution,[],[f421,f596]) ).
fof(f596,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| sK49 != app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sK52(X0,nil,X1)) )
| ~ spl53_2 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f657,plain,
spl53_7,
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f656,plain,
( $false
| spl53_7 ),
inference(resolution,[],[f623,f531]) ).
fof(f531,plain,
ssList(sK49),
inference(cnf_transformation,[],[f338]) ).
fof(f623,plain,
( ~ ssList(sK49)
| spl53_7 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f649,plain,
spl53_1,
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f648,plain,
( $false
| spl53_1 ),
inference(resolution,[],[f593,f422]) ).
fof(f422,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.HyQEy243Zi/Vampire---4.8_29906',ax17) ).
fof(f593,plain,
( ~ ssList(nil)
| spl53_1 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f613,plain,
( ~ spl53_1
| spl53_6 ),
inference(avatar_split_clause,[],[f589,f611,f591]) ).
fof(f589,plain,
! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| ssItem(sK52(X0,nil,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f547,f436]) ).
fof(f436,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,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/tmp/tmp.HyQEy243Zi/Vampire---4.8_29906',ax28) ).
fof(f547,plain,
! [X8,X6,X7] :
( app(app(X7,cons(X6,nil)),X8) != sK49
| ssItem(sK52(X6,X7,X8))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f536,f534]) ).
fof(f536,plain,
! [X8,X6,X7] :
( ssItem(sK52(X6,X7,X8))
| app(app(X7,cons(X6,nil)),X8) != sK47
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(cnf_transformation,[],[f338]) ).
fof(f597,plain,
( ~ spl53_1
| spl53_2 ),
inference(avatar_split_clause,[],[f585,f595,f591]) ).
fof(f585,plain,
! [X0,X1] :
( sK49 != app(cons(X0,nil),X1)
| memberP(nil,sK52(X0,nil,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f546,f436]) ).
fof(f546,plain,
! [X8,X6,X7] :
( app(app(X7,cons(X6,nil)),X8) != sK49
| memberP(X7,sK52(X6,X7,X8))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f537,f534]) ).
fof(f537,plain,
! [X8,X6,X7] :
( memberP(X7,sK52(X6,X7,X8))
| app(app(X7,cons(X6,nil)),X8) != sK47
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(cnf_transformation,[],[f338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SWC240+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.30 % Computer : n027.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 18:45:17 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.HyQEy243Zi/Vampire---4.8_29906
% 0.61/0.79 % (30023)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.79 % (30021)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79 % (30022)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.79 % (30019)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.79 % (30024)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.79 % (30020)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.79 % (30025)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.79 % (30026)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.80 % (30020)First to succeed.
% 0.61/0.81 % (30023)Instruction limit reached!
% 0.61/0.81 % (30023)------------------------------
% 0.61/0.81 % (30023)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (30023)Termination reason: Unknown
% 0.61/0.81 % (30023)Termination phase: Saturation
% 0.61/0.81
% 0.61/0.81 % (30023)Memory used [KB]: 1879
% 0.61/0.81 % (30023)Time elapsed: 0.018 s
% 0.61/0.81 % (30023)Instructions burned: 35 (million)
% 0.61/0.81 % (30023)------------------------------
% 0.61/0.81 % (30023)------------------------------
% 0.61/0.81 % (30022)Instruction limit reached!
% 0.61/0.81 % (30022)------------------------------
% 0.61/0.81 % (30022)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (30022)Termination reason: Unknown
% 0.61/0.81 % (30022)Termination phase: Saturation
% 0.61/0.81
% 0.66/0.81 % (30020)Refutation found. Thanks to Tanya!
% 0.66/0.81 % SZS status Theorem for Vampire---4
% 0.66/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.81 % (30020)------------------------------
% 0.66/0.81 % (30020)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81 % (30020)Termination reason: Refutation
% 0.66/0.81
% 0.66/0.81 % (30020)Memory used [KB]: 1486
% 0.66/0.81 % (30020)Time elapsed: 0.018 s
% 0.66/0.81 % (30020)Instructions burned: 30 (million)
% 0.66/0.81 % (30020)------------------------------
% 0.66/0.81 % (30020)------------------------------
% 0.66/0.81 % (30014)Success in time 0.488 s
% 0.66/0.81 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.66/0.81 30014 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.HyQEy243Zi/Vampire---4.8_29906
% 0.66/0.81 % (30014)------------------------------
% 0.66/0.81 % (30014)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81 % (30014)Termination reason: Unknown
% 0.66/0.81 % (30014)Termination phase: Unknown
% 0.66/0.81
% 0.66/0.81 % (30014)Memory used [KB]: 548
% 0.66/0.81 % (30014)Time elapsed: 0.488 s
% 0.66/0.81 % (30014)Instructions burned: 961 (million)
% 0.66/0.81 % (30014)------------------------------
% 0.66/0.81 % (30014)------------------------------
% 0.66/0.81 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 ???
% 0.66/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------