TSTP Solution File: NUM554+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM554+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/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 : Sun May 5 08:12:59 EDT 2024
% Result : Theorem 1.03s 0.86s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 101 ( 18 unt; 0 def)
% Number of atoms : 321 ( 52 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 352 ( 132 ~; 134 |; 60 &)
% ( 13 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 48 ( 46 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1994,plain,
$false,
inference(avatar_sat_refutation,[],[f460,f467,f477,f803,f844,f1728,f1748,f1824,f1984,f1993]) ).
fof(f1993,plain,
( spl20_5
| ~ spl20_114 ),
inference(avatar_contradiction_clause,[],[f1992]) ).
fof(f1992,plain,
( $false
| spl20_5
| ~ spl20_114 ),
inference(subsumption_resolution,[],[f1991,f267]) ).
fof(f267,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791',m__2256) ).
fof(f1991,plain,
( ~ aElementOf0(xx,xS)
| spl20_5
| ~ spl20_114 ),
inference(superposition,[],[f459,f1823]) ).
fof(f1823,plain,
( xx = sK8
| ~ spl20_114 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f1821,plain,
( spl20_114
<=> xx = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_114])]) ).
fof(f459,plain,
( ~ aElementOf0(sK8,xS)
| spl20_5 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f457,plain,
( spl20_5
<=> aElementOf0(sK8,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f1984,plain,
( spl20_5
| ~ spl20_113 ),
inference(avatar_contradiction_clause,[],[f1983]) ).
fof(f1983,plain,
( $false
| spl20_5
| ~ spl20_113 ),
inference(subsumption_resolution,[],[f1978,f1795]) ).
fof(f1795,plain,
( ~ aElementOf0(sK8,xQ)
| spl20_5 ),
inference(resolution,[],[f459,f269]) ).
fof(f269,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSet0(xQ) ),
file('/export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791',m__2270) ).
fof(f1978,plain,
( aElementOf0(sK8,xQ)
| ~ spl20_113 ),
inference(resolution,[],[f1819,f282]) ).
fof(f282,plain,
! [X1] :
( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
| aElementOf0(X1,xQ) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
& ( ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
& ( ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) ) )
& aSet0(xP)
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) ) )
& aSet0(xP)
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
file('/export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791',m__2357) ).
fof(f1819,plain,
( aElementOf0(sK8,sdtmndt0(xQ,xy))
| ~ spl20_113 ),
inference(avatar_component_clause,[],[f1817]) ).
fof(f1817,plain,
( spl20_113
<=> aElementOf0(sK8,sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_113])]) ).
fof(f1824,plain,
( spl20_113
| spl20_114
| ~ spl20_6 ),
inference(avatar_split_clause,[],[f1811,f464,f1821,f1817]) ).
fof(f464,plain,
( spl20_6
<=> aElementOf0(sK8,sdtpldt0(sdtmndt0(xQ,xy),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f1811,plain,
( xx = sK8
| aElementOf0(sK8,sdtmndt0(xQ,xy))
| ~ spl20_6 ),
inference(resolution,[],[f466,f440]) ).
fof(f440,plain,
! [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xQ,xy),xx))
| xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) ),
inference(forward_demodulation,[],[f287,f290]) ).
fof(f290,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(cnf_transformation,[],[f179]) ).
fof(f287,plain,
! [X0] :
( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f179]) ).
fof(f466,plain,
( aElementOf0(sK8,sdtpldt0(sdtmndt0(xQ,xy),xx))
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f1748,plain,
~ spl20_41,
inference(avatar_contradiction_clause,[],[f1747]) ).
fof(f1747,plain,
( $false
| ~ spl20_41 ),
inference(subsumption_resolution,[],[f1742,f278]) ).
fof(f278,plain,
~ aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791',m__2323) ).
fof(f1742,plain,
( aElementOf0(xx,xQ)
| ~ spl20_41 ),
inference(resolution,[],[f798,f282]) ).
fof(f798,plain,
( aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ spl20_41 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f796,plain,
( spl20_41
<=> aElementOf0(xx,sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).
fof(f1728,plain,
spl20_42,
inference(avatar_contradiction_clause,[],[f1727]) ).
fof(f1727,plain,
( $false
| spl20_42 ),
inference(subsumption_resolution,[],[f1726,f268]) ).
fof(f268,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f83]) ).
fof(f1726,plain,
( ~ aSet0(xQ)
| spl20_42 ),
inference(subsumption_resolution,[],[f1725,f274]) ).
fof(f274,plain,
isFinite0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( xk = sbrdtbr0(xQ)
& isFinite0(xQ)
& aSet0(xQ) ),
file('/export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791',m__2291) ).
fof(f1725,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| spl20_42 ),
inference(subsumption_resolution,[],[f1724,f277]) ).
fof(f277,plain,
aElementOf0(xy,xQ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
( aElementOf0(xy,xQ)
& aElement0(xy) ),
file('/export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791',m__2304) ).
fof(f1724,plain,
( ~ aElementOf0(xy,xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| spl20_42 ),
inference(subsumption_resolution,[],[f1722,f271]) ).
fof(f271,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f83]) ).
fof(f1722,plain,
( xk != sbrdtbr0(xQ)
| ~ aElementOf0(xy,xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| spl20_42 ),
inference(superposition,[],[f802,f344]) ).
fof(f344,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
file('/export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791',mCardDiff) ).
fof(f802,plain,
( xk != szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| spl20_42 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f800,plain,
( spl20_42
<=> xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).
fof(f844,plain,
spl20_32,
inference(avatar_contradiction_clause,[],[f843]) ).
fof(f843,plain,
( $false
| spl20_32 ),
inference(subsumption_resolution,[],[f842,f276]) ).
fof(f276,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f842,plain,
( ~ aElement0(xy)
| spl20_32 ),
inference(subsumption_resolution,[],[f841,f268]) ).
fof(f841,plain,
( ~ aSet0(xQ)
| ~ aElement0(xy)
| spl20_32 ),
inference(subsumption_resolution,[],[f838,f274]) ).
fof(f838,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElement0(xy)
| spl20_32 ),
inference(resolution,[],[f737,f350]) ).
fof(f350,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791',mFDiffSet) ).
fof(f737,plain,
( ~ isFinite0(sdtmndt0(xQ,xy))
| spl20_32 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f735,plain,
( spl20_32
<=> isFinite0(sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).
fof(f803,plain,
( ~ spl20_32
| spl20_41
| ~ spl20_42
| ~ spl20_1
| spl20_3 ),
inference(avatar_split_clause,[],[f794,f447,f431,f800,f796,f735]) ).
fof(f431,plain,
( spl20_1
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f447,plain,
( spl20_3
<=> xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f794,plain,
( xk != szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl20_1
| spl20_3 ),
inference(subsumption_resolution,[],[f793,f280]) ).
fof(f280,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f179]) ).
fof(f793,plain,
( xk != szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ spl20_1
| spl20_3 ),
inference(subsumption_resolution,[],[f791,f432]) ).
fof(f432,plain,
( aElement0(xx)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f791,plain,
( xk != szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| spl20_3 ),
inference(superposition,[],[f449,f345]) ).
fof(f345,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791',mCardCons) ).
fof(f449,plain,
( xk != sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx))
| spl20_3 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f477,plain,
spl20_1,
inference(avatar_split_clause,[],[f476,f431]) ).
fof(f476,plain,
aElement0(xx),
inference(subsumption_resolution,[],[f471,f237]) ).
fof(f237,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791',m__2202_02) ).
fof(f471,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[],[f267,f379]) ).
fof(f379,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791',mEOfElem) ).
fof(f467,plain,
( ~ spl20_3
| spl20_6 ),
inference(avatar_split_clause,[],[f462,f464,f447]) ).
fof(f462,plain,
( aElementOf0(sK8,sdtpldt0(sdtmndt0(xQ,xy),xx))
| xk != sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx)) ),
inference(forward_demodulation,[],[f461,f290]) ).
fof(f461,plain,
( xk != sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx))
| aElementOf0(sK8,xP) ),
inference(forward_demodulation,[],[f291,f290]) ).
fof(f291,plain,
( xk != sbrdtbr0(xP)
| aElementOf0(sK8,xP) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
& ( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ~ aElementOf0(sK8,xS)
& aElementOf0(sK8,xP) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f84,f180]) ).
fof(f180,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK8,xS)
& aElementOf0(sK8,xP) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
& ( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) ) ) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,negated_conjecture,
~ ( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| ( xk = sbrdtbr0(xP)
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ) ),
inference(negated_conjecture,[],[f71]) ).
fof(f71,conjecture,
( aElementOf0(xP,slbdtsldtrb0(xS,xk))
| ( xk = sbrdtbr0(xP)
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791',m__) ).
fof(f460,plain,
( ~ spl20_5
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f455,f447,f457]) ).
fof(f455,plain,
( xk != sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx))
| ~ aElementOf0(sK8,xS) ),
inference(forward_demodulation,[],[f292,f290]) ).
fof(f292,plain,
( xk != sbrdtbr0(xP)
| ~ aElementOf0(sK8,xS) ),
inference(cnf_transformation,[],[f181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM554+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 17:26:38 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.6RCR3Cn1SH/Vampire---4.8_5791
% 0.62/0.78 % (5903)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)
% 0.62/0.78 % (5905)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)
% 0.62/0.78 % (5900)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)
% 0.62/0.78 % (5902)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.78 % (5904)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)
% 0.62/0.78 % (5901)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)
% 0.62/0.78 % (5906)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)
% 0.62/0.78 % (5907)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)
% 0.62/0.80 % (5904)Instruction limit reached!
% 0.62/0.80 % (5904)------------------------------
% 0.62/0.80 % (5904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (5904)Termination reason: Unknown
% 0.62/0.80 % (5904)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (5904)Memory used [KB]: 1689
% 0.62/0.80 % (5904)Time elapsed: 0.018 s
% 0.62/0.80 % (5904)Instructions burned: 34 (million)
% 0.62/0.80 % (5904)------------------------------
% 0.62/0.80 % (5904)------------------------------
% 0.62/0.80 % (5903)Instruction limit reached!
% 0.62/0.80 % (5903)------------------------------
% 0.62/0.80 % (5903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (5903)Termination reason: Unknown
% 0.62/0.80 % (5903)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (5903)Memory used [KB]: 1640
% 0.62/0.80 % (5903)Time elapsed: 0.019 s
% 0.62/0.80 % (5903)Instructions burned: 33 (million)
% 0.62/0.80 % (5903)------------------------------
% 0.62/0.80 % (5903)------------------------------
% 0.62/0.80 % (5900)Instruction limit reached!
% 0.62/0.80 % (5900)------------------------------
% 0.62/0.80 % (5900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (5900)Termination reason: Unknown
% 0.62/0.80 % (5900)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (5900)Memory used [KB]: 1541
% 0.62/0.80 % (5900)Time elapsed: 0.020 s
% 0.62/0.80 % (5900)Instructions burned: 35 (million)
% 0.62/0.80 % (5900)------------------------------
% 0.62/0.80 % (5900)------------------------------
% 0.62/0.80 % (5908)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.80 % (5909)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.80 % (5910)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.80 % (5905)Instruction limit reached!
% 0.62/0.80 % (5905)------------------------------
% 0.62/0.80 % (5905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80 % (5905)Termination reason: Unknown
% 0.62/0.80 % (5905)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (5905)Memory used [KB]: 1640
% 0.62/0.80 % (5905)Time elapsed: 0.025 s
% 0.62/0.80 % (5905)Instructions burned: 46 (million)
% 0.62/0.80 % (5905)------------------------------
% 0.62/0.80 % (5905)------------------------------
% 0.62/0.81 % (5911)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.81 % (5907)Instruction limit reached!
% 0.62/0.81 % (5907)------------------------------
% 0.62/0.81 % (5907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (5907)Termination reason: Unknown
% 0.62/0.81 % (5907)Termination phase: Saturation
% 0.62/0.81
% 0.62/0.81 % (5907)Memory used [KB]: 1692
% 0.62/0.81 % (5907)Time elapsed: 0.029 s
% 0.62/0.81 % (5907)Instructions burned: 57 (million)
% 0.62/0.81 % (5907)------------------------------
% 0.62/0.81 % (5907)------------------------------
% 0.62/0.81 % (5901)Instruction limit reached!
% 0.62/0.81 % (5901)------------------------------
% 0.62/0.81 % (5901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (5901)Termination reason: Unknown
% 0.62/0.81 % (5901)Termination phase: Saturation
% 0.62/0.81
% 0.62/0.81 % (5901)Memory used [KB]: 1978
% 0.62/0.81 % (5901)Time elapsed: 0.030 s
% 0.62/0.81 % (5901)Instructions burned: 51 (million)
% 0.62/0.81 % (5901)------------------------------
% 0.62/0.81 % (5901)------------------------------
% 0.62/0.81 % (5912)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.62/0.81 % (5913)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.62/0.82 % (5906)Instruction limit reached!
% 0.62/0.82 % (5906)------------------------------
% 0.62/0.82 % (5906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (5906)Termination reason: Unknown
% 0.62/0.82 % (5906)Termination phase: Saturation
% 0.62/0.82
% 0.62/0.82 % (5906)Memory used [KB]: 2411
% 0.62/0.82 % (5906)Time elapsed: 0.042 s
% 0.62/0.82 % (5906)Instructions burned: 84 (million)
% 0.62/0.82 % (5906)------------------------------
% 0.62/0.82 % (5906)------------------------------
% 0.62/0.82 % (5902)Instruction limit reached!
% 0.62/0.82 % (5902)------------------------------
% 0.62/0.82 % (5902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (5902)Termination reason: Unknown
% 0.62/0.82 % (5902)Termination phase: Saturation
% 0.62/0.82
% 0.62/0.82 % (5902)Memory used [KB]: 1969
% 0.62/0.82 % (5902)Time elapsed: 0.043 s
% 0.62/0.82 % (5902)Instructions burned: 79 (million)
% 0.62/0.82 % (5902)------------------------------
% 0.62/0.82 % (5902)------------------------------
% 0.62/0.82 % (5909)Instruction limit reached!
% 0.62/0.82 % (5909)------------------------------
% 0.62/0.82 % (5909)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (5909)Termination reason: Unknown
% 0.62/0.82 % (5909)Termination phase: Saturation
% 0.62/0.82
% 0.62/0.82 % (5909)Memory used [KB]: 1741
% 0.62/0.82 % (5909)Time elapsed: 0.024 s
% 0.62/0.82 % (5909)Instructions burned: 50 (million)
% 0.62/0.82 % (5909)------------------------------
% 0.62/0.82 % (5909)------------------------------
% 0.62/0.82 % (5914)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.62/0.83 % (5915)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.62/0.83 % (5916)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.62/0.83 % (5908)Instruction limit reached!
% 0.62/0.83 % (5908)------------------------------
% 0.62/0.83 % (5908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (5908)Termination reason: Unknown
% 0.62/0.83 % (5908)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (5908)Memory used [KB]: 1920
% 0.62/0.83 % (5908)Time elapsed: 0.028 s
% 0.62/0.83 % (5908)Instructions burned: 57 (million)
% 0.62/0.83 % (5908)------------------------------
% 0.62/0.83 % (5908)------------------------------
% 0.62/0.83 % (5917)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.62/0.83 % (5913)Instruction limit reached!
% 0.62/0.83 % (5913)------------------------------
% 0.62/0.83 % (5913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (5913)Termination reason: Unknown
% 0.62/0.83 % (5913)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (5913)Memory used [KB]: 1682
% 0.62/0.83 % (5913)Time elapsed: 0.023 s
% 0.62/0.83 % (5913)Instructions burned: 42 (million)
% 0.62/0.83 % (5913)------------------------------
% 0.62/0.83 % (5913)------------------------------
% 0.62/0.83 % (5911)Instruction limit reached!
% 0.62/0.83 % (5911)------------------------------
% 0.62/0.83 % (5911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83 % (5911)Termination reason: Unknown
% 0.62/0.83 % (5911)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (5911)Memory used [KB]: 1684
% 0.62/0.83 % (5911)Time elapsed: 0.028 s
% 0.62/0.83 % (5911)Instructions burned: 54 (million)
% 0.62/0.83 % (5911)------------------------------
% 0.62/0.83 % (5911)------------------------------
% 0.62/0.84 % (5918)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.62/0.84 % (5919)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.62/0.85 % (5912)First to succeed.
% 0.62/0.85 % (5910)Also succeeded, but the first one will report.
% 0.62/0.85 % (5919)Instruction limit reached!
% 0.62/0.85 % (5919)------------------------------
% 0.62/0.85 % (5919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.85 % (5919)Termination reason: Unknown
% 0.62/0.85 % (5919)Termination phase: Saturation
% 0.62/0.85
% 0.62/0.85 % (5919)Memory used [KB]: 1555
% 0.62/0.85 % (5919)Time elapsed: 0.039 s
% 0.62/0.85 % (5919)Instructions burned: 32 (million)
% 0.62/0.85 % (5919)------------------------------
% 0.62/0.85 % (5919)------------------------------
% 0.62/0.85 % (5912)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5898"
% 1.03/0.86 % (5912)Refutation found. Thanks to Tanya!
% 1.03/0.86 % SZS status Theorem for Vampire---4
% 1.03/0.86 % SZS output start Proof for Vampire---4
% See solution above
% 1.03/0.86 % (5912)------------------------------
% 1.03/0.86 % (5912)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.03/0.86 % (5912)Termination reason: Refutation
% 1.03/0.86
% 1.03/0.86 % (5912)Memory used [KB]: 1924
% 1.03/0.86 % (5912)Time elapsed: 0.043 s
% 1.03/0.86 % (5912)Instructions burned: 83 (million)
% 1.03/0.86 % (5898)Success in time 0.503 s
% 1.03/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------