TSTP Solution File: NUM556+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM556+3 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 : Tue May 21 01:43:14 EDT 2024
% Result : Theorem 0.68s 0.77s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 21
% Syntax : Number of formulae : 99 ( 16 unt; 0 def)
% Number of atoms : 335 ( 58 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 377 ( 141 ~; 138 |; 72 &)
% ( 13 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 51 ( 49 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2056,plain,
$false,
inference(avatar_sat_refutation,[],[f468,f475,f485,f939,f1055,f1791,f1867,f2046,f2055]) ).
fof(f2055,plain,
( spl20_5
| ~ spl20_118 ),
inference(avatar_contradiction_clause,[],[f2054]) ).
fof(f2054,plain,
( $false
| spl20_5
| ~ spl20_118 ),
inference(subsumption_resolution,[],[f2053,f270]) ).
fof(f270,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2256) ).
fof(f2053,plain,
( ~ aElementOf0(xx,xS)
| spl20_5
| ~ spl20_118 ),
inference(superposition,[],[f467,f1866]) ).
fof(f1866,plain,
( xx = sK8
| ~ spl20_118 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f1864,plain,
( spl20_118
<=> xx = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_118])]) ).
fof(f467,plain,
( ~ aElementOf0(sK8,xS)
| spl20_5 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f465,plain,
( spl20_5
<=> aElementOf0(sK8,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f2046,plain,
( spl20_5
| ~ spl20_117 ),
inference(avatar_contradiction_clause,[],[f2045]) ).
fof(f2045,plain,
( $false
| spl20_5
| ~ spl20_117 ),
inference(subsumption_resolution,[],[f2040,f1838]) ).
fof(f1838,plain,
( ~ aElementOf0(sK8,xQ)
| spl20_5 ),
inference(resolution,[],[f467,f272]) ).
fof(f272,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,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/sandbox2/benchmark/theBenchmark.p',m__2270) ).
fof(f2040,plain,
( aElementOf0(sK8,xQ)
| ~ spl20_117 ),
inference(resolution,[],[f1862,f285]) ).
fof(f285,plain,
! [X1] :
( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
| aElementOf0(X1,xQ) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,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,[],[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(nnf_transformation,[],[f75]) ).
fof(f75,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/sandbox2/benchmark/theBenchmark.p',m__2357) ).
fof(f1862,plain,
( aElementOf0(sK8,sdtmndt0(xQ,xy))
| ~ spl20_117 ),
inference(avatar_component_clause,[],[f1860]) ).
fof(f1860,plain,
( spl20_117
<=> aElementOf0(sK8,sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_117])]) ).
fof(f1867,plain,
( spl20_117
| spl20_118
| ~ spl20_6 ),
inference(avatar_split_clause,[],[f1854,f472,f1864,f1860]) ).
fof(f472,plain,
( spl20_6
<=> aElementOf0(sK8,sdtpldt0(sdtmndt0(xQ,xy),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f1854,plain,
( xx = sK8
| aElementOf0(sK8,sdtmndt0(xQ,xy))
| ~ spl20_6 ),
inference(resolution,[],[f474,f449]) ).
fof(f449,plain,
! [X0] :
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xQ,xy),xx))
| xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) ),
inference(forward_demodulation,[],[f290,f293]) ).
fof(f293,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(cnf_transformation,[],[f180]) ).
fof(f290,plain,
! [X0] :
( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f180]) ).
fof(f474,plain,
( aElementOf0(sK8,sdtpldt0(sdtmndt0(xQ,xy),xx))
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f1791,plain,
spl20_50,
inference(avatar_contradiction_clause,[],[f1790]) ).
fof(f1790,plain,
( $false
| spl20_50 ),
inference(subsumption_resolution,[],[f1789,f271]) ).
fof(f271,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f84]) ).
fof(f1789,plain,
( ~ aSet0(xQ)
| spl20_50 ),
inference(subsumption_resolution,[],[f1788,f277]) ).
fof(f277,plain,
isFinite0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( xk = sbrdtbr0(xQ)
& isFinite0(xQ)
& aSet0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
fof(f1788,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| spl20_50 ),
inference(subsumption_resolution,[],[f1787,f280]) ).
fof(f280,plain,
aElementOf0(xy,xQ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
( aElementOf0(xy,xQ)
& aElement0(xy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2304) ).
fof(f1787,plain,
( ~ aElementOf0(xy,xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| spl20_50 ),
inference(subsumption_resolution,[],[f1784,f274]) ).
fof(f274,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f84]) ).
fof(f1784,plain,
( xk != sbrdtbr0(xQ)
| ~ aElementOf0(xy,xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| spl20_50 ),
inference(superposition,[],[f938,f352]) ).
fof(f352,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,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/sandbox2/benchmark/theBenchmark.p',mCardDiff) ).
fof(f938,plain,
( xk != szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| spl20_50 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f936,plain,
( spl20_50
<=> xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_50])]) ).
fof(f1055,plain,
spl20_32,
inference(avatar_contradiction_clause,[],[f1054]) ).
fof(f1054,plain,
( $false
| spl20_32 ),
inference(subsumption_resolution,[],[f1053,f279]) ).
fof(f279,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f1053,plain,
( ~ aElement0(xy)
| spl20_32 ),
inference(subsumption_resolution,[],[f1052,f271]) ).
fof(f1052,plain,
( ~ aSet0(xQ)
| ~ aElement0(xy)
| spl20_32 ),
inference(subsumption_resolution,[],[f1049,f277]) ).
fof(f1049,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElement0(xy)
| spl20_32 ),
inference(resolution,[],[f749,f358]) ).
fof(f358,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,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/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f749,plain,
( ~ isFinite0(sdtmndt0(xQ,xy))
| spl20_32 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f747,plain,
( spl20_32
<=> isFinite0(sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).
fof(f939,plain,
( ~ spl20_32
| ~ spl20_50
| ~ spl20_1
| spl20_3 ),
inference(avatar_split_clause,[],[f868,f455,f440,f936,f747]) ).
fof(f440,plain,
( spl20_1
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f455,plain,
( spl20_3
<=> xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f868,plain,
( xk != szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl20_1
| spl20_3 ),
inference(subsumption_resolution,[],[f867,f283]) ).
fof(f283,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f180]) ).
fof(f867,plain,
( xk != szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ spl20_1
| spl20_3 ),
inference(subsumption_resolution,[],[f866,f441]) ).
fof(f441,plain,
( aElement0(xx)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f866,plain,
( xk != szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| spl20_3 ),
inference(subsumption_resolution,[],[f861,f294]) ).
fof(f294,plain,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xQ,xy))
| xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy))
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xQ,xy))
| xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy))
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,axiom,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xQ,xy))
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2411) ).
fof(f861,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,[],[f457,f353]) ).
fof(f353,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,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/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
fof(f457,plain,
( xk != sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx))
| spl20_3 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f485,plain,
spl20_1,
inference(avatar_split_clause,[],[f484,f440]) ).
fof(f484,plain,
aElement0(xx),
inference(subsumption_resolution,[],[f479,f240]) ).
fof(f240,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(f479,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[],[f270,f387]) ).
fof(f387,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,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/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f475,plain,
( ~ spl20_3
| spl20_6 ),
inference(avatar_split_clause,[],[f470,f472,f455]) ).
fof(f470,plain,
( aElementOf0(sK8,sdtpldt0(sdtmndt0(xQ,xy),xx))
| xk != sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx)) ),
inference(forward_demodulation,[],[f469,f293]) ).
fof(f469,plain,
( xk != sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx))
| aElementOf0(sK8,xP) ),
inference(forward_demodulation,[],[f300,f293]) ).
fof(f300,plain,
( xk != sbrdtbr0(xP)
| aElementOf0(sK8,xP) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ~ aElementOf0(sK8,xS)
& aElementOf0(sK8,xP) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f85,f183]) ).
fof(f183,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK8,xS)
& aElementOf0(sK8,xP) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) ) ) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,negated_conjecture,
~ ( xk = sbrdtbr0(xP)
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ),
inference(negated_conjecture,[],[f72]) ).
fof(f72,conjecture,
( xk = sbrdtbr0(xP)
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f468,plain,
( ~ spl20_5
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f463,f455,f465]) ).
fof(f463,plain,
( xk != sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx))
| ~ aElementOf0(sK8,xS) ),
inference(forward_demodulation,[],[f301,f293]) ).
fof(f301,plain,
( xk != sbrdtbr0(xP)
| ~ aElementOf0(sK8,xS) ),
inference(cnf_transformation,[],[f184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM556+3 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % 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
% 0.11/0.33 % Computer : n009.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 : Mon May 20 04:36:52 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.70 % (4397)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 theBenchmark for (2996ds/34Mi)
% 0.48/0.70 % (4399)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.48/0.70 % (4400)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.48/0.70 % (4398)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 theBenchmark for (2996ds/51Mi)
% 0.48/0.70 % (4401)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 theBenchmark for (2996ds/34Mi)
% 0.48/0.70 % (4402)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.48/0.70 % (4403)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 theBenchmark for (2996ds/83Mi)
% 0.48/0.70 % (4404)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.48/0.71 % (4397)Instruction limit reached!
% 0.48/0.71 % (4397)------------------------------
% 0.48/0.71 % (4397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.71 % (4397)Termination reason: Unknown
% 0.48/0.71 % (4397)Termination phase: Saturation
% 0.48/0.71
% 0.48/0.71 % (4397)Memory used [KB]: 1541
% 0.48/0.71 % (4397)Time elapsed: 0.013 s
% 0.48/0.71 % (4397)Instructions burned: 36 (million)
% 0.48/0.71 % (4397)------------------------------
% 0.48/0.71 % (4397)------------------------------
% 0.48/0.71 % (4405)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 theBenchmark for (2996ds/55Mi)
% 0.48/0.71 % (4400)Instruction limit reached!
% 0.48/0.71 % (4400)------------------------------
% 0.48/0.71 % (4400)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.71 % (4400)Termination reason: Unknown
% 0.48/0.71 % (4400)Termination phase: Saturation
% 0.48/0.71
% 0.48/0.71 % (4400)Memory used [KB]: 1705
% 0.48/0.71 % (4400)Time elapsed: 0.019 s
% 0.48/0.71 % (4400)Instructions burned: 33 (million)
% 0.48/0.71 % (4400)------------------------------
% 0.48/0.71 % (4400)------------------------------
% 0.48/0.71 % (4401)Instruction limit reached!
% 0.48/0.71 % (4401)------------------------------
% 0.48/0.71 % (4401)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.71 % (4401)Termination reason: Unknown
% 0.48/0.71 % (4401)Termination phase: Saturation
% 0.48/0.71
% 0.48/0.71 % (4401)Memory used [KB]: 1723
% 0.48/0.71 % (4401)Time elapsed: 0.020 s
% 0.48/0.71 % (4401)Instructions burned: 35 (million)
% 0.48/0.71 % (4401)------------------------------
% 0.48/0.71 % (4401)------------------------------
% 0.48/0.72 % (4407)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.48/0.72 % (4406)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 theBenchmark for (2996ds/50Mi)
% 0.48/0.72 % (4402)Instruction limit reached!
% 0.48/0.72 % (4402)------------------------------
% 0.48/0.72 % (4402)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.72 % (4402)Termination reason: Unknown
% 0.48/0.72 % (4402)Termination phase: Saturation
% 0.48/0.72
% 0.48/0.72 % (4402)Memory used [KB]: 1641
% 0.48/0.72 % (4402)Time elapsed: 0.027 s
% 0.48/0.72 % (4402)Instructions burned: 46 (million)
% 0.48/0.72 % (4402)------------------------------
% 0.48/0.72 % (4402)------------------------------
% 0.48/0.73 % (4405)Instruction limit reached!
% 0.48/0.73 % (4405)------------------------------
% 0.48/0.73 % (4405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.73 % (4405)Termination reason: Unknown
% 0.48/0.73 % (4405)Termination phase: Saturation
% 0.48/0.73
% 0.48/0.73 % (4405)Memory used [KB]: 2040
% 0.48/0.73 % (4405)Time elapsed: 0.016 s
% 0.48/0.73 % (4405)Instructions burned: 55 (million)
% 0.48/0.73 % (4405)------------------------------
% 0.48/0.73 % (4405)------------------------------
% 0.48/0.73 % (4398)Instruction limit reached!
% 0.48/0.73 % (4398)------------------------------
% 0.48/0.73 % (4398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.73 % (4398)Termination reason: Unknown
% 0.48/0.73 % (4398)Termination phase: Saturation
% 0.48/0.73
% 0.48/0.73 % (4398)Memory used [KB]: 1912
% 0.48/0.73 % (4398)Time elapsed: 0.032 s
% 0.48/0.73 % (4398)Instructions burned: 52 (million)
% 0.48/0.73 % (4398)------------------------------
% 0.48/0.73 % (4398)------------------------------
% 0.48/0.73 % (4409)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 theBenchmark for (2996ds/518Mi)
% 0.48/0.73 % (4408)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 theBenchmark for (2996ds/52Mi)
% 0.48/0.73 % (4404)Instruction limit reached!
% 0.48/0.73 % (4404)------------------------------
% 0.48/0.73 % (4404)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.73 % (4404)Termination reason: Unknown
% 0.48/0.73 % (4404)Termination phase: Saturation
% 0.48/0.73
% 0.48/0.73 % (4404)Memory used [KB]: 1692
% 0.48/0.73 % (4404)Time elapsed: 0.036 s
% 0.48/0.73 % (4404)Instructions burned: 57 (million)
% 0.48/0.73 % (4404)------------------------------
% 0.48/0.73 % (4404)------------------------------
% 0.48/0.73 % (4410)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 theBenchmark for (2996ds/42Mi)
% 0.68/0.74 % (4403)Instruction limit reached!
% 0.68/0.74 % (4403)------------------------------
% 0.68/0.74 % (4403)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.74 % (4403)Termination reason: Unknown
% 0.68/0.74 % (4403)Termination phase: Saturation
% 0.68/0.74
% 0.68/0.74 % (4403)Memory used [KB]: 2394
% 0.68/0.74 % (4403)Time elapsed: 0.044 s
% 0.68/0.74 % (4403)Instructions burned: 83 (million)
% 0.68/0.74 % (4403)------------------------------
% 0.68/0.74 % (4403)------------------------------
% 0.68/0.74 % (4399)Instruction limit reached!
% 0.68/0.74 % (4399)------------------------------
% 0.68/0.74 % (4399)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.74 % (4399)Termination reason: Unknown
% 0.68/0.74 % (4399)Termination phase: Saturation
% 0.68/0.74
% 0.68/0.74 % (4399)Memory used [KB]: 1996
% 0.68/0.74 % (4399)Time elapsed: 0.045 s
% 0.68/0.74 % (4399)Instructions burned: 78 (million)
% 0.68/0.74 % (4399)------------------------------
% 0.68/0.74 % (4399)------------------------------
% 0.68/0.74 % (4412)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.68/0.74 % (4413)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 theBenchmark for (2995ds/143Mi)
% 0.68/0.74 % (4406)Instruction limit reached!
% 0.68/0.74 % (4406)------------------------------
% 0.68/0.74 % (4406)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.74 % (4406)Termination reason: Unknown
% 0.68/0.74 % (4406)Termination phase: Saturation
% 0.68/0.74
% 0.68/0.74 % (4406)Memory used [KB]: 1743
% 0.68/0.74 % (4406)Time elapsed: 0.026 s
% 0.68/0.74 % (4406)Instructions burned: 50 (million)
% 0.68/0.74 % (4406)------------------------------
% 0.68/0.74 % (4406)------------------------------
% 0.68/0.75 % (4414)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 theBenchmark for (2995ds/93Mi)
% 0.68/0.75 % (4411)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 theBenchmark for (2996ds/243Mi)
% 0.68/0.76 % (4410)Instruction limit reached!
% 0.68/0.76 % (4410)------------------------------
% 0.68/0.76 % (4410)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76 % (4410)Termination reason: Unknown
% 0.68/0.76 % (4410)Termination phase: Saturation
% 0.68/0.76
% 0.68/0.76 % (4410)Memory used [KB]: 1694
% 0.68/0.76 % (4410)Time elapsed: 0.024 s
% 0.68/0.76 % (4410)Instructions burned: 43 (million)
% 0.68/0.76 % (4410)------------------------------
% 0.68/0.76 % (4410)------------------------------
% 0.68/0.76 % (4408)Instruction limit reached!
% 0.68/0.76 % (4408)------------------------------
% 0.68/0.76 % (4408)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.76 % (4408)Termination reason: Unknown
% 0.68/0.76 % (4408)Termination phase: Saturation
% 0.68/0.76
% 0.68/0.76 % (4408)Memory used [KB]: 1903
% 0.68/0.76 % (4408)Time elapsed: 0.030 s
% 0.68/0.76 % (4408)Instructions burned: 52 (million)
% 0.68/0.76 % (4408)------------------------------
% 0.68/0.76 % (4408)------------------------------
% 0.68/0.76 % (4415)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 theBenchmark for (2995ds/62Mi)
% 0.68/0.76 % (4416)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 theBenchmark for (2995ds/32Mi)
% 0.68/0.77 % (4409)First to succeed.
% 0.68/0.77 % (4409)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4396"
% 0.68/0.77 % (4409)Refutation found. Thanks to Tanya!
% 0.68/0.77 % SZS status Theorem for theBenchmark
% 0.68/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.68/0.77 % (4409)------------------------------
% 0.68/0.77 % (4409)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77 % (4409)Termination reason: Refutation
% 0.68/0.77
% 0.68/0.77 % (4409)Memory used [KB]: 1934
% 0.68/0.77 % (4409)Time elapsed: 0.028 s
% 0.68/0.77 % (4409)Instructions burned: 84 (million)
% 0.68/0.77 % (4396)Success in time 0.427 s
% 0.68/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------