TSTP Solution File: NUM514+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM514+1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 08:12:41 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 25
% Syntax : Number of formulae : 106 ( 28 unt; 0 def)
% Number of atoms : 368 ( 104 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 429 ( 167 ~; 170 |; 65 &)
% ( 19 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 78 ( 68 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f792,plain,
$false,
inference(avatar_sat_refutation,[],[f259,f280,f283,f349,f359,f630,f658,f679,f681,f715,f788]) ).
fof(f788,plain,
( spl4_6
| ~ spl4_22 ),
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f787,plain,
( $false
| spl4_6
| ~ spl4_22 ),
inference(subsumption_resolution,[],[f749,f279]) ).
fof(f279,plain,
( ~ isPrime0(sz00)
| spl4_6 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl4_6
<=> isPrime0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f749,plain,
( isPrime0(sz00)
| ~ spl4_22 ),
inference(backward_demodulation,[],[f147,f639]) ).
fof(f639,plain,
( sz00 = xp
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f637,plain,
( spl4_22
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f147,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& isPrime0(xp) ),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',m__1860) ).
fof(f715,plain,
( spl4_6
| ~ spl4_25 ),
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f714,plain,
( $false
| spl4_6
| ~ spl4_25 ),
inference(subsumption_resolution,[],[f683,f279]) ).
fof(f683,plain,
( isPrime0(sz00)
| ~ spl4_25 ),
inference(backward_demodulation,[],[f162,f652]) ).
fof(f652,plain,
( sz00 = xr
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f650,plain,
( spl4_25
<=> sz00 = xr ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f162,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',m__2342) ).
fof(f681,plain,
( ~ spl4_23
| ~ spl4_18
| spl4_25 ),
inference(avatar_split_clause,[],[f680,f650,f507,f642]) ).
fof(f642,plain,
( spl4_23
<=> aNaturalNumber0(xr) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f507,plain,
( spl4_18
<=> aNaturalNumber0(xk) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f680,plain,
( sz00 = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr) ),
inference(subsumption_resolution,[],[f588,f161]) ).
fof(f161,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f588,plain,
( ~ doDivides0(xr,xk)
| sz00 = xr
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xr) ),
inference(resolution,[],[f247,f306]) ).
fof(f306,plain,
~ aNaturalNumber0(sdtsldt0(xk,xr)),
inference(subsumption_resolution,[],[f297,f145]) ).
fof(f145,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',m__1837) ).
fof(f297,plain,
( ~ aNaturalNumber0(sdtsldt0(xk,xr))
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f262,f261]) ).
fof(f261,plain,
~ doDivides0(xp,sdtasdt0(xp,sdtsldt0(xk,xr))),
inference(forward_demodulation,[],[f174,f173]) ).
fof(f173,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',m__2613) ).
fof(f174,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(flattening,[],[f57]) ).
fof(f57,negated_conjecture,
~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(negated_conjecture,[],[f56]) ).
fof(f56,conjecture,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',m__) ).
fof(f262,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f241,f198]) ).
fof(f198,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',mSortsB_02) ).
fof(f241,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f203]) ).
fof(f203,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtasdt0(X0,sK1(X0,X1)) = X1
& aNaturalNumber0(sK1(X0,X1)) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f131,f132]) ).
fof(f132,plain,
! [X0,X1] :
( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtasdt0(X0,sK1(X0,X1)) = X1
& aNaturalNumber0(sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',mDefDiv) ).
fof(f247,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f220]) ).
fof(f220,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',mDefQuot) ).
fof(f679,plain,
( ~ spl4_9
| spl4_22
| spl4_18 ),
inference(avatar_split_clause,[],[f678,f507,f637,f328]) ).
fof(f328,plain,
( spl4_9
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f678,plain,
( aNaturalNumber0(xk)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(subsumption_resolution,[],[f677,f145]) ).
fof(f677,plain,
( aNaturalNumber0(xk)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) ),
inference(subsumption_resolution,[],[f597,f148]) ).
fof(f148,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f597,plain,
( aNaturalNumber0(xk)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f247,f155]) ).
fof(f155,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',m__2306) ).
fof(f658,plain,
spl4_23,
inference(avatar_split_clause,[],[f160,f642]) ).
fof(f160,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f630,plain,
( ~ spl4_1
| spl4_6
| spl4_10 ),
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f629,plain,
( $false
| ~ spl4_1
| spl4_6
| spl4_10 ),
inference(subsumption_resolution,[],[f603,f279]) ).
fof(f603,plain,
( isPrime0(sz00)
| ~ spl4_1
| spl4_10 ),
inference(backward_demodulation,[],[f162,f600]) ).
fof(f600,plain,
( sz00 = xr
| ~ spl4_1
| spl4_10 ),
inference(subsumption_resolution,[],[f599,f160]) ).
fof(f599,plain,
( sz00 = xr
| ~ aNaturalNumber0(xr)
| ~ spl4_1
| spl4_10 ),
inference(subsumption_resolution,[],[f598,f143]) ).
fof(f143,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f598,plain,
( sz00 = xr
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ spl4_1
| spl4_10 ),
inference(subsumption_resolution,[],[f589,f253]) ).
fof(f253,plain,
( doDivides0(xr,xn)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl4_1
<=> doDivides0(xr,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f589,plain,
( ~ doDivides0(xr,xn)
| sz00 = xr
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| spl4_10 ),
inference(resolution,[],[f247,f338]) ).
fof(f338,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl4_10 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f336,plain,
( spl4_10
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f359,plain,
( ~ spl4_12
| spl4_9 ),
inference(avatar_split_clause,[],[f358,f328,f346]) ).
fof(f346,plain,
( spl4_12
<=> aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f358,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr))) ),
inference(subsumption_resolution,[],[f351,f160]) ).
fof(f351,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr))) ),
inference(superposition,[],[f198,f260]) ).
fof(f260,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xp,sdtsldt0(xk,xr)),xr),
inference(backward_demodulation,[],[f171,f173]) ).
fof(f171,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
( sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr)
& sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) ),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',m__2576) ).
fof(f349,plain,
( ~ spl4_10
| spl4_12 ),
inference(avatar_split_clause,[],[f344,f346,f336]) ).
fof(f344,plain,
( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr)))
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(subsumption_resolution,[],[f333,f144]) ).
fof(f144,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f333,plain,
( aNaturalNumber0(sdtasdt0(xp,sdtsldt0(xk,xr)))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(superposition,[],[f198,f173]) ).
fof(f283,plain,
spl4_5,
inference(avatar_split_clause,[],[f233,f273]) ).
fof(f273,plain,
( spl4_5
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f233,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',mSortsC) ).
fof(f280,plain,
( ~ spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f243,f277,f273]) ).
fof(f243,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_resolution,[],[f207]) ).
fof(f207,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ( ( isPrime0(X0)
| ( sK3(X0) != X0
& sz10 != sK3(X0)
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f138,f139]) ).
fof(f139,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( sK3(X0) != X0
& sz10 != sK3(X0)
& doDivides0(sK3(X0),X0)
& aNaturalNumber0(sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0] :
( ( ( isPrime0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X2] :
( X0 = X2
| sz10 = X2
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(X2) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( ( isPrime0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( ( isPrime0(X0)
| ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
| sz10 = X0
| sz00 = X0 )
& ( ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( ! [X1] :
( ( doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( X0 = X1
| sz10 = X1 ) )
& sz10 != X0
& sz00 != X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',mDefPrime) ).
fof(f259,plain,
spl4_1,
inference(avatar_split_clause,[],[f168,f251]) ).
fof(f168,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/tmp/tmp.KMXa4D7NkO/Vampire---4.8_16772',m__2487) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM514+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:52:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.KMXa4D7NkO/Vampire---4.8_16772
% 0.56/0.74 % (17151)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 (2996ds/56Mi)
% 0.56/0.74 % (17144)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 (2996ds/34Mi)
% 0.56/0.74 % (17146)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (17145)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 (2996ds/51Mi)
% 0.56/0.74 % (17147)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.74 % (17149)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.74 % (17150)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 (2996ds/83Mi)
% 0.56/0.74 % (17148)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 (2996ds/34Mi)
% 0.56/0.76 % (17151)Instruction limit reached!
% 0.56/0.76 % (17151)------------------------------
% 0.56/0.76 % (17151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (17151)Termination reason: Unknown
% 0.56/0.76 % (17151)Termination phase: Saturation
% 0.56/0.76
% 0.56/0.76 % (17151)Memory used [KB]: 1403
% 0.56/0.76 % (17151)Time elapsed: 0.018 s
% 0.56/0.76 % (17151)Instructions burned: 56 (million)
% 0.56/0.76 % (17151)------------------------------
% 0.56/0.76 % (17151)------------------------------
% 0.60/0.76 % (17159)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 (2996ds/55Mi)
% 0.60/0.76 % (17147)Instruction limit reached!
% 0.60/0.76 % (17147)------------------------------
% 0.60/0.76 % (17147)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (17147)Termination reason: Unknown
% 0.60/0.76 % (17147)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (17147)Memory used [KB]: 1496
% 0.60/0.76 % (17147)Time elapsed: 0.021 s
% 0.60/0.76 % (17147)Instructions burned: 33 (million)
% 0.60/0.76 % (17147)------------------------------
% 0.60/0.76 % (17147)------------------------------
% 0.60/0.76 % (17144)Instruction limit reached!
% 0.60/0.76 % (17144)------------------------------
% 0.60/0.76 % (17144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (17144)Termination reason: Unknown
% 0.60/0.76 % (17144)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (17144)Memory used [KB]: 1387
% 0.60/0.76 % (17144)Time elapsed: 0.022 s
% 0.60/0.76 % (17144)Instructions burned: 34 (million)
% 0.60/0.76 % (17144)------------------------------
% 0.60/0.76 % (17144)------------------------------
% 0.60/0.76 % (17148)Instruction limit reached!
% 0.60/0.76 % (17148)------------------------------
% 0.60/0.76 % (17148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (17148)Termination reason: Unknown
% 0.60/0.76 % (17148)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (17148)Memory used [KB]: 1686
% 0.60/0.76 % (17148)Time elapsed: 0.022 s
% 0.60/0.76 % (17148)Instructions burned: 35 (million)
% 0.60/0.76 % (17148)------------------------------
% 0.60/0.76 % (17148)------------------------------
% 0.60/0.76 % (17146)First to succeed.
% 0.60/0.77 % (17160)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 (2996ds/50Mi)
% 0.60/0.77 % (17161)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 (2996ds/208Mi)
% 0.60/0.77 % (17149)Instruction limit reached!
% 0.60/0.77 % (17149)------------------------------
% 0.60/0.77 % (17149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (17149)Termination reason: Unknown
% 0.60/0.77 % (17149)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (17149)Memory used [KB]: 1643
% 0.60/0.77 % (17149)Time elapsed: 0.026 s
% 0.60/0.77 % (17149)Instructions burned: 45 (million)
% 0.60/0.77 % (17149)------------------------------
% 0.60/0.77 % (17149)------------------------------
% 0.60/0.77 % (17164)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 (2996ds/52Mi)
% 0.60/0.77 % (17146)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16983"
% 0.60/0.77 % (17146)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (17146)------------------------------
% 0.60/0.77 % (17146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (17146)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (17146)Memory used [KB]: 1319
% 0.60/0.77 % (17146)Time elapsed: 0.027 s
% 0.60/0.77 % (17146)Instructions burned: 43 (million)
% 0.60/0.77 % (16983)Success in time 0.388 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------