TSTP Solution File: NUM516+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM516+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 : n005.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 08:12:43 EDT 2024
% Result : Theorem 0.71s 0.81s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 102 ( 14 unt; 0 def)
% Number of atoms : 399 ( 114 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 497 ( 200 ~; 203 |; 69 &)
% ( 14 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 72 ( 68 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1208,plain,
$false,
inference(avatar_sat_refutation,[],[f269,f278,f435,f584,f592,f944,f965,f1006,f1205]) ).
fof(f1205,plain,
( ~ spl4_3
| ~ spl4_25
| ~ spl4_26
| spl4_27 ),
inference(avatar_contradiction_clause,[],[f1201]) ).
fof(f1201,plain,
( $false
| ~ spl4_3
| ~ spl4_25
| ~ spl4_26
| spl4_27 ),
inference(unit_resulting_resolution,[],[f148,f463,f459,f273,f467,f191]) ).
fof(f191,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.n9TsagwBaz/Vampire---4.8_28908',mAddCanc) ).
fof(f467,plain,
( sdtpldt0(xn,xm) != sdtpldt0(sdtsldt0(xn,xr),xm)
| spl4_27 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl4_27
<=> sdtpldt0(xn,xm) = sdtpldt0(sdtsldt0(xn,xr),xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f273,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl4_3
<=> sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f459,plain,
( aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f458,plain,
( spl4_25
<=> aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f463,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f462,plain,
( spl4_26
<=> aNaturalNumber0(sdtpldt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f148,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/tmp/tmp.n9TsagwBaz/Vampire---4.8_28908',m__1837) ).
fof(f1006,plain,
( ~ spl4_17
| ~ spl4_27 ),
inference(avatar_contradiction_clause,[],[f970]) ).
fof(f970,plain,
( $false
| ~ spl4_17
| ~ spl4_27 ),
inference(unit_resulting_resolution,[],[f147,f146,f372,f172,f468,f191]) ).
fof(f468,plain,
( sdtpldt0(xn,xm) = sdtpldt0(sdtsldt0(xn,xr),xm)
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f172,plain,
xn != sdtsldt0(xn,xr),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
( sdtlseqdt0(sdtsldt0(xn,xr),xn)
& xn != sdtsldt0(xn,xr) ),
file('/export/starexec/sandbox2/tmp/tmp.n9TsagwBaz/Vampire---4.8_28908',m__2504) ).
fof(f372,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f371,plain,
( spl4_17
<=> aNaturalNumber0(sdtsldt0(xn,xr)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f146,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f147,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f965,plain,
( spl4_27
| ~ spl4_28
| spl4_4
| ~ spl4_25
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f964,f462,f458,f275,f470,f466]) ).
fof(f470,plain,
( spl4_28
<=> sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f275,plain,
( spl4_4
<=> sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f964,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| sdtpldt0(xn,xm) = sdtpldt0(sdtsldt0(xn,xr),xm)
| spl4_4
| ~ spl4_25
| ~ spl4_26 ),
inference(subsumption_resolution,[],[f963,f459]) ).
fof(f963,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| sdtpldt0(xn,xm) = sdtpldt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| spl4_4
| ~ spl4_26 ),
inference(subsumption_resolution,[],[f962,f463]) ).
fof(f962,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| sdtpldt0(xn,xm) = sdtpldt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| spl4_4 ),
inference(subsumption_resolution,[],[f871,f148]) ).
fof(f871,plain,
( ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| sdtpldt0(xn,xm) = sdtpldt0(sdtsldt0(xn,xr),xm)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| spl4_4 ),
inference(resolution,[],[f277,f181]) ).
fof(f181,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) )
| ~ aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
& sdtpldt0(X1,X2) != sdtpldt0(X0,X2)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X2,X0) != sdtpldt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.n9TsagwBaz/Vampire---4.8_28908',mMonAdd) ).
fof(f277,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| spl4_4 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f944,plain,
( ~ spl4_17
| spl4_28 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f943,plain,
( $false
| ~ spl4_17
| spl4_28 ),
inference(subsumption_resolution,[],[f942,f372]) ).
fof(f942,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl4_28 ),
inference(subsumption_resolution,[],[f941,f146]) ).
fof(f941,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl4_28 ),
inference(subsumption_resolution,[],[f940,f172]) ).
fof(f940,plain,
( xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl4_28 ),
inference(subsumption_resolution,[],[f939,f173]) ).
fof(f173,plain,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
inference(cnf_transformation,[],[f53]) ).
fof(f939,plain,
( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl4_28 ),
inference(subsumption_resolution,[],[f932,f147]) ).
fof(f932,plain,
( ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
| xn = sdtsldt0(xn,xr)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl4_28 ),
inference(resolution,[],[f472,f181]) ).
fof(f472,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtsldt0(xn,xr),xm),sdtpldt0(xn,xm))
| spl4_28 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f592,plain,
spl4_26,
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f591,plain,
( $false
| spl4_26 ),
inference(subsumption_resolution,[],[f590,f146]) ).
fof(f590,plain,
( ~ aNaturalNumber0(xn)
| spl4_26 ),
inference(subsumption_resolution,[],[f588,f147]) ).
fof(f588,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl4_26 ),
inference(resolution,[],[f464,f198]) ).
fof(f198,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.n9TsagwBaz/Vampire---4.8_28908',mSortsB) ).
fof(f464,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl4_26 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f584,plain,
( ~ spl4_17
| spl4_25 ),
inference(avatar_contradiction_clause,[],[f583]) ).
fof(f583,plain,
( $false
| ~ spl4_17
| spl4_25 ),
inference(subsumption_resolution,[],[f582,f372]) ).
fof(f582,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl4_25 ),
inference(subsumption_resolution,[],[f578,f147]) ).
fof(f578,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl4_25 ),
inference(resolution,[],[f460,f198]) ).
fof(f460,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm))
| spl4_25 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f435,plain,
( ~ spl4_1
| spl4_17 ),
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f434,plain,
( $false
| ~ spl4_1
| spl4_17 ),
inference(subsumption_resolution,[],[f432,f237]) ).
fof(f237,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.n9TsagwBaz/Vampire---4.8_28908',mSortsC) ).
fof(f432,plain,
( ~ aNaturalNumber0(sz00)
| ~ spl4_1
| spl4_17 ),
inference(resolution,[],[f420,f249]) ).
fof(f249,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_resolution,[],[f206]) ).
fof(f206,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( ( isPrime0(X0)
| ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(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,[sK2])],[f137,f138]) ).
fof(f138,plain,
! [X0] :
( ? [X1] :
( X0 != X1
& sz10 != X1
& doDivides0(X1,X0)
& aNaturalNumber0(X1) )
=> ( sK2(X0) != X0
& sz10 != sK2(X0)
& doDivides0(sK2(X0),X0)
& aNaturalNumber0(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f137,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,[],[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(flattening,[],[f135]) ).
fof(f135,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,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( ! [X1] :
( X0 = X1
| sz10 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1) )
& sz10 != X0
& sz00 != X0 ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,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.n9TsagwBaz/Vampire---4.8_28908',mDefPrime) ).
fof(f420,plain,
( isPrime0(sz00)
| ~ spl4_1
| spl4_17 ),
inference(superposition,[],[f165,f402]) ).
fof(f402,plain,
( sz00 = xr
| ~ spl4_1
| spl4_17 ),
inference(subsumption_resolution,[],[f401,f163]) ).
fof(f163,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( isPrime0(xr)
& doDivides0(xr,xk)
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/tmp/tmp.n9TsagwBaz/Vampire---4.8_28908',m__2342) ).
fof(f401,plain,
( sz00 = xr
| ~ aNaturalNumber0(xr)
| ~ spl4_1
| spl4_17 ),
inference(subsumption_resolution,[],[f400,f146]) ).
fof(f400,plain,
( sz00 = xr
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| ~ spl4_1
| spl4_17 ),
inference(subsumption_resolution,[],[f399,f263]) ).
fof(f263,plain,
( doDivides0(xr,xn)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl4_1
<=> doDivides0(xr,xn) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f399,plain,
( ~ doDivides0(xr,xn)
| sz00 = xr
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xr)
| spl4_17 ),
inference(resolution,[],[f373,f252]) ).
fof(f252,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f216]) ).
fof(f216,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[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(flattening,[],[f140]) ).
fof(f140,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,[],[f105]) ).
fof(f105,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,[],[f104]) ).
fof(f104,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.n9TsagwBaz/Vampire---4.8_28908',mDefQuot) ).
fof(f373,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xr))
| spl4_17 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f165,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f278,plain,
( spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f175,f275,f271]) ).
fof(f175,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,negated_conjecture,
~ ( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) ),
inference(negated_conjecture,[],[f55]) ).
fof(f55,conjecture,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) ),
file('/export/starexec/sandbox2/tmp/tmp.n9TsagwBaz/Vampire---4.8_28908',m__) ).
fof(f269,plain,
spl4_1,
inference(avatar_split_clause,[],[f171,f261]) ).
fof(f171,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/tmp/tmp.n9TsagwBaz/Vampire---4.8_28908',m__2487) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM516+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % 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 : n005.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 15:14:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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.n9TsagwBaz/Vampire---4.8_28908
% 0.57/0.73 % (29022)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)
% 0.57/0.73 % (29016)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)
% 0.57/0.73 % (29019)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)
% 0.57/0.73 % (29017)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)
% 0.57/0.73 % (29018)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73 % (29021)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)
% 0.57/0.73 % (29023)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)
% 0.57/0.74 % (29020)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)
% 0.57/0.75 % (29019)Instruction limit reached!
% 0.57/0.75 % (29019)------------------------------
% 0.57/0.75 % (29019)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29019)Termination reason: Unknown
% 0.57/0.75 % (29019)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (29019)Memory used [KB]: 1505
% 0.57/0.75 % (29019)Time elapsed: 0.019 s
% 0.57/0.75 % (29019)Instructions burned: 33 (million)
% 0.57/0.75 % (29019)------------------------------
% 0.57/0.75 % (29019)------------------------------
% 0.57/0.75 % (29016)Instruction limit reached!
% 0.57/0.75 % (29016)------------------------------
% 0.57/0.75 % (29016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29016)Termination reason: Unknown
% 0.57/0.75 % (29016)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (29016)Memory used [KB]: 1395
% 0.57/0.75 % (29016)Time elapsed: 0.022 s
% 0.57/0.75 % (29016)Instructions burned: 34 (million)
% 0.57/0.75 % (29016)------------------------------
% 0.57/0.75 % (29016)------------------------------
% 0.57/0.75 % (29022)Instruction limit reached!
% 0.57/0.75 % (29022)------------------------------
% 0.57/0.75 % (29022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29022)Termination reason: Unknown
% 0.57/0.75 % (29022)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (29022)Memory used [KB]: 1955
% 0.57/0.75 % (29022)Time elapsed: 0.023 s
% 0.57/0.75 % (29022)Instructions burned: 84 (million)
% 0.57/0.75 % (29022)------------------------------
% 0.57/0.75 % (29022)------------------------------
% 0.57/0.75 % (29024)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)
% 0.57/0.75 % (29025)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)
% 0.57/0.75 % (29026)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)
% 0.57/0.75 % (29021)Instruction limit reached!
% 0.57/0.75 % (29021)------------------------------
% 0.57/0.75 % (29021)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29021)Termination reason: Unknown
% 0.57/0.75 % (29021)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (29021)Memory used [KB]: 1679
% 0.57/0.75 % (29021)Time elapsed: 0.027 s
% 0.57/0.75 % (29021)Instructions burned: 45 (million)
% 0.57/0.75 % (29021)------------------------------
% 0.57/0.75 % (29021)------------------------------
% 0.57/0.76 % (29027)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)
% 0.57/0.76 % (29017)Instruction limit reached!
% 0.57/0.76 % (29017)------------------------------
% 0.57/0.76 % (29017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (29017)Termination reason: Unknown
% 0.57/0.76 % (29017)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (29017)Memory used [KB]: 1693
% 0.57/0.76 % (29017)Time elapsed: 0.032 s
% 0.57/0.76 % (29017)Instructions burned: 51 (million)
% 0.57/0.76 % (29017)------------------------------
% 0.57/0.76 % (29017)------------------------------
% 0.71/0.76 % (29020)Instruction limit reached!
% 0.71/0.76 % (29020)------------------------------
% 0.71/0.76 % (29020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.76 % (29020)Termination reason: Unknown
% 0.71/0.76 % (29020)Termination phase: Saturation
% 0.71/0.76
% 0.71/0.76 % (29020)Memory used [KB]: 1694
% 0.71/0.76 % (29020)Time elapsed: 0.022 s
% 0.71/0.76 % (29020)Instructions burned: 35 (million)
% 0.71/0.76 % (29020)------------------------------
% 0.71/0.76 % (29020)------------------------------
% 0.71/0.76 % (29028)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 (2996ds/518Mi)
% 0.71/0.76 % (29029)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 (2996ds/42Mi)
% 0.71/0.76 % (29025)Instruction limit reached!
% 0.71/0.76 % (29025)------------------------------
% 0.71/0.76 % (29025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.76 % (29025)Termination reason: Unknown
% 0.71/0.76 % (29025)Termination phase: Saturation
% 0.71/0.76
% 0.71/0.76 % (29025)Memory used [KB]: 1513
% 0.71/0.76 % (29025)Time elapsed: 0.015 s
% 0.71/0.76 % (29025)Instructions burned: 52 (million)
% 0.71/0.76 % (29025)------------------------------
% 0.71/0.76 % (29025)------------------------------
% 0.71/0.77 % (29030)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)
% 0.71/0.77 % (29023)Instruction limit reached!
% 0.71/0.77 % (29023)------------------------------
% 0.71/0.77 % (29023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.77 % (29023)Termination reason: Unknown
% 0.71/0.77 % (29023)Termination phase: Saturation
% 0.71/0.77
% 0.71/0.77 % (29023)Memory used [KB]: 1415
% 0.71/0.77 % (29023)Time elapsed: 0.032 s
% 0.71/0.77 % (29023)Instructions burned: 56 (million)
% 0.71/0.77 % (29023)------------------------------
% 0.71/0.77 % (29023)------------------------------
% 0.71/0.77 % (29031)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)
% 0.71/0.77 % (29018)Instruction limit reached!
% 0.71/0.77 % (29018)------------------------------
% 0.71/0.77 % (29018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.77 % (29018)Termination reason: Unknown
% 0.71/0.77 % (29018)Termination phase: Saturation
% 0.71/0.77
% 0.71/0.77 % (29018)Memory used [KB]: 1791
% 0.71/0.77 % (29018)Time elapsed: 0.047 s
% 0.71/0.77 % (29018)Instructions burned: 78 (million)
% 0.71/0.77 % (29018)------------------------------
% 0.71/0.77 % (29018)------------------------------
% 0.71/0.78 % (29032)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)
% 0.71/0.78 % (29024)Instruction limit reached!
% 0.71/0.78 % (29024)------------------------------
% 0.71/0.78 % (29024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.78 % (29024)Termination reason: Unknown
% 0.71/0.78 % (29024)Termination phase: Saturation
% 0.71/0.78
% 0.71/0.78 % (29024)Memory used [KB]: 1995
% 0.71/0.78 % (29024)Time elapsed: 0.030 s
% 0.71/0.78 % (29024)Instructions burned: 55 (million)
% 0.71/0.78 % (29024)------------------------------
% 0.71/0.78 % (29024)------------------------------
% 0.71/0.78 % (29033)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)
% 0.71/0.79 % (29029)Instruction limit reached!
% 0.71/0.79 % (29029)------------------------------
% 0.71/0.79 % (29029)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.79 % (29029)Termination reason: Unknown
% 0.71/0.79 % (29029)Termination phase: Saturation
% 0.71/0.79
% 0.71/0.79 % (29029)Memory used [KB]: 1337
% 0.71/0.79 % (29029)Time elapsed: 0.023 s
% 0.71/0.79 % (29029)Instructions burned: 44 (million)
% 0.71/0.79 % (29029)------------------------------
% 0.71/0.79 % (29029)------------------------------
% 0.71/0.79 % (29027)Instruction limit reached!
% 0.71/0.79 % (29027)------------------------------
% 0.71/0.79 % (29027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.79 % (29027)Termination reason: Unknown
% 0.71/0.79 % (29027)Termination phase: Saturation
% 0.71/0.79
% 0.71/0.79 % (29027)Memory used [KB]: 1603
% 0.71/0.79 % (29027)Time elapsed: 0.032 s
% 0.71/0.79 % (29027)Instructions burned: 52 (million)
% 0.71/0.79 % (29027)------------------------------
% 0.71/0.79 % (29027)------------------------------
% 0.71/0.79 % (29034)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)
% 0.71/0.79 % (29035)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)
% 0.71/0.81 % (29028)First to succeed.
% 0.71/0.81 % (29028)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29015"
% 0.71/0.81 % (29028)Refutation found. Thanks to Tanya!
% 0.71/0.81 % SZS status Theorem for Vampire---4
% 0.71/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.81 % (29028)------------------------------
% 0.71/0.81 % (29028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.71/0.81 % (29028)Termination reason: Refutation
% 0.71/0.81
% 0.71/0.81 % (29028)Memory used [KB]: 1770
% 0.71/0.81 % (29028)Time elapsed: 0.047 s
% 0.71/0.81 % (29028)Instructions burned: 83 (million)
% 0.71/0.81 % (29015)Success in time 0.444 s
% 0.71/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------