%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM512+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:31 PM UTC 2026
% Result : Theorem 6.41s 1.98s
% Output : Refutation 8.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 33
% Syntax : Number of formulae : 204 ( 46 unt; 20 def)
% Number of atoms : 591 ( 176 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 642 ( 255 ~; 309 |; 52 &)
% ( 19 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 14 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn 73 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f49,axiom,
( sdtlseqdt0(xr,xk)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2362) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
fof(f54,conjecture,
( sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm)
& sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f55,negated_conjecture,
~ ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) = sdtasdt0(xn,xm)
& sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ),
inference(negated_conjecture,[status(cth)],[f54]) ).
fof(f60,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f61,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f60]) ).
fof(f67,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f68,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f70,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f69]) ).
fof(f106,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f107,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f106]) ).
fof(f118,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f119,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f118]) ).
fof(f125,plain,
( sdtasdt0(xn,xm) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)
| sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ),
inference(ennf_transformation,[],[f55]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f107]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f134]) ).
fof(f136,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f137,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f136]) ).
fof(f138,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ( sz10 != sK2(X0)
& sK2(X0) != X0
& aNaturalNumber0(sK2(X0))
& doDivides0(sK2(X0),X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f138]) ).
fof(f141,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f145,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f150,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f191,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f192,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f201,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f209,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f210,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f211,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f213,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f214,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f221,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f226,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f228,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f229,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f49]) ).
fof(f234,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f237,plain,
( sdtasdt0(xn,xm) != sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr)
| sdtasdt0(xn,xm) != sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) ),
inference(cnf_transformation,[],[f125]) ).
fof(f246,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f192]) ).
fof(f247,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f191]) ).
fof(f248,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_resolution,[],[f201]) ).
fof(f250,definition,
sF4 = sdtasdt0(xn,xm),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f251,plain,
sdtasdt0(xn,xm) = sF4,
inference(reorient_equations,[],[f250]) ).
fof(f252,definition,
sF5 = sdtsldt0(xn,xr),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f253,plain,
sdtsldt0(xn,xr) = sF5,
inference(reorient_equations,[],[f252]) ).
fof(f254,definition,
sF6 = sdtasdt0(sF5,xm),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f255,plain,
sdtasdt0(sF5,xm) = sF6,
inference(reorient_equations,[],[f254]) ).
fof(f256,definition,
sF7 = sdtasdt0(sF6,xr),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f257,plain,
sdtasdt0(sF6,xr) = sF7,
inference(reorient_equations,[],[f256]) ).
fof(f258,definition,
sF8 = sdtasdt0(xp,xk),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f259,plain,
sdtasdt0(xp,xk) = sF8,
inference(reorient_equations,[],[f258]) ).
fof(f260,definition,
sF9 = sdtsldt0(sF8,xr),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f261,plain,
sdtsldt0(sF8,xr) = sF9,
inference(reorient_equations,[],[f260]) ).
fof(f262,definition,
sF10 = sdtasdt0(sF9,xr),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f263,plain,
sdtasdt0(sF9,xr) = sF10,
inference(reorient_equations,[],[f262]) ).
fof(f264,plain,
( sF4 != sF7
| sF4 != sF10 ),
inference(definition_folding,[],[f237,f263,f261,f259,f251,f257,f255,f253,f251]) ).
fof(f267,definition,
( spl11_1
<=> sF4 = sF10 ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f269,plain,
( sF4 != sF10
| spl11_1 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f271,definition,
( spl11_2
<=> sF4 = sF7 ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f273,plain,
( sF4 != sF7
| spl11_2 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f264,f271,f267]) ).
fof(f285,definition,
( spl11_5
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f289,definition,
( spl11_6
<=> isPrime0(sz00) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
fof(f291,plain,
( ~ isPrime0(sz00)
| spl11_6 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,plain,
( ~ spl11_5
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f248,f289,f285]) ).
fof(f294,plain,
spl11_5,
inference(avatar_split_clause,[],[f141,f285]) ).
fof(f296,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f145,f251]) ).
fof(f297,plain,
( aNaturalNumber0(sF8)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[],[f145,f259]) ).
fof(f298,plain,
( aNaturalNumber0(sF6)
| ~ aNaturalNumber0(sF5)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f145,f255]) ).
fof(f303,plain,
( aNaturalNumber0(sF6)
| ~ aNaturalNumber0(sF5) ),
inference(forward_subsumption_resolution,[],[f298,f210]) ).
fof(f304,plain,
( aNaturalNumber0(sF8)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f297,f209]) ).
fof(f305,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f296,f211]) ).
fof(f307,definition,
( spl11_7
<=> aNaturalNumber0(sF9) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f308,plain,
( aNaturalNumber0(sF9)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f309,plain,
( ~ aNaturalNumber0(sF9)
| spl11_7 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f316,definition,
( spl11_9
<=> aNaturalNumber0(sF6) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
fof(f317,plain,
( aNaturalNumber0(sF6)
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f325,definition,
( spl11_11
<=> aNaturalNumber0(sF5) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f326,plain,
( aNaturalNumber0(sF5)
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f327,plain,
( ~ aNaturalNumber0(sF5)
| spl11_11 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f328,plain,
( ~ spl11_11
| spl11_9 ),
inference(avatar_split_clause,[],[f303,f316,f325]) ).
fof(f330,definition,
( spl11_12
<=> aNaturalNumber0(xk) ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
fof(f332,plain,
( ~ aNaturalNumber0(xk)
| spl11_12 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f334,definition,
( spl11_13
<=> aNaturalNumber0(sF8) ),
introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition]) ).
fof(f337,plain,
( ~ spl11_12
| spl11_13 ),
inference(avatar_split_clause,[],[f304,f334,f330]) ).
fof(f338,plain,
aNaturalNumber0(sF4),
inference(forward_subsumption_resolution,[],[f305,f210]) ).
fof(f340,plain,
( aNaturalNumber0(sF5)
| sz00 = xr
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f246,f253]) ).
fof(f341,plain,
( aNaturalNumber0(sF9)
| sz00 = xr
| ~ doDivides0(xr,sF8)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sF8) ),
inference(superposition,[],[f246,f261]) ).
fof(f342,plain,
( aNaturalNumber0(xk)
| sz00 = xp
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f246,f221]) ).
fof(f343,plain,
( sz00 = xp
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl11_12 ),
inference(forward_subsumption_resolution,[],[f342,f332]) ).
fof(f344,plain,
( sz00 = xr
| ~ doDivides0(xr,sF8)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sF8)
| spl11_7 ),
inference(forward_subsumption_resolution,[],[f341,f309]) ).
fof(f345,plain,
( sz00 = xr
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f340,f327]) ).
fof(f346,plain,
( sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl11_12 ),
inference(forward_subsumption_resolution,[],[f343,f213]) ).
fof(f347,plain,
( sz00 = xr
| ~ doDivides0(xr,sF8)
| ~ aNaturalNumber0(sF8)
| spl11_7 ),
inference(forward_subsumption_resolution,[],[f344,f228]) ).
fof(f348,plain,
( sz00 = xr
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f345,f234]) ).
fof(f349,plain,
( sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl11_12 ),
inference(forward_subsumption_resolution,[],[f346,f209]) ).
fof(f351,definition,
( spl11_14
<=> doDivides0(xr,sF8) ),
introduced(definition,[new_symbols(definition,[spl11_14])],[avatar_definition]) ).
fof(f353,plain,
( ~ doDivides0(xr,sF8)
| spl11_14 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f355,definition,
( spl11_15
<=> sz00 = xr ),
introduced(definition,[new_symbols(definition,[spl11_15])],[avatar_definition]) ).
fof(f356,plain,
( sz00 != xr
| spl11_15 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f357,plain,
( sz00 = xr
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f358,plain,
( ~ spl11_13
| ~ spl11_14
| spl11_15
| spl11_7 ),
inference(avatar_split_clause,[],[f347,f307,f355,f351,f334]) ).
fof(f359,plain,
( sz00 = xr
| ~ aNaturalNumber0(xn)
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f348,f228]) ).
fof(f360,plain,
( ~ aNaturalNumber0(sF4)
| sz00 = xp
| spl11_12 ),
inference(forward_demodulation,[],[f349,f251]) ).
fof(f361,plain,
( sz00 = xr
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f359,f211]) ).
fof(f362,plain,
( sz00 = xp
| spl11_12 ),
inference(forward_subsumption_resolution,[],[f360,f338]) ).
fof(f363,plain,
( spl11_15
| spl11_11 ),
inference(avatar_split_clause,[],[f361,f325,f355]) ).
fof(f373,plain,
( sz00 = xr
| xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f247,f234]) ).
fof(f374,plain,
( sz00 = xr
| sdtasdt0(xn,xm) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[],[f229,f247]) ).
fof(f376,plain,
doDivides0(xr,sF4),
inference(superposition,[],[f229,f251]) ).
fof(f432,plain,
( isPrime0(sz00)
| ~ spl11_15 ),
inference(superposition,[],[f226,f357]) ).
fof(f442,plain,
( $false
| spl11_6
| ~ spl11_15 ),
inference(forward_subsumption_resolution,[],[f432,f291]) ).
fof(f443,plain,
( spl11_6
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f444,plain,
( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| spl11_15 ),
inference(forward_subsumption_resolution,[],[f373,f356]) ).
fof(f446,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl11_15 ),
inference(forward_subsumption_resolution,[],[f374,f356]) ).
fof(f447,plain,
( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| spl11_15 ),
inference(forward_subsumption_resolution,[],[f444,f228]) ).
fof(f449,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl11_15 ),
inference(forward_subsumption_resolution,[],[f446,f228]) ).
fof(f450,plain,
( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
| spl11_15 ),
inference(forward_subsumption_resolution,[],[f447,f211]) ).
fof(f452,plain,
( sF4 = sdtasdt0(xr,sdtsldt0(sF4,xr))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl11_15 ),
inference(forward_demodulation,[],[f449,f251]) ).
fof(f453,plain,
( xn = sdtasdt0(xr,sF5)
| spl11_15 ),
inference(forward_demodulation,[],[f450,f253]) ).
fof(f455,plain,
( ~ aNaturalNumber0(sF4)
| sF4 = sdtasdt0(xr,sdtsldt0(sF4,xr))
| spl11_15 ),
inference(forward_demodulation,[],[f452,f251]) ).
fof(f457,plain,
( sF4 = sdtasdt0(xr,sdtsldt0(sF4,xr))
| spl11_15 ),
inference(forward_subsumption_resolution,[],[f455,f338]) ).
fof(f478,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xr) = sdtasdt0(xr,X0) ),
inference(resolution,[],[f150,f228]) ).
fof(f489,plain,
( sdtasdt0(sF6,xr) = sdtasdt0(xr,sF6)
| ~ spl11_9 ),
inference(resolution,[],[f478,f317]) ).
fof(f490,plain,
( sF7 = sdtasdt0(xr,sF6)
| ~ spl11_9 ),
inference(forward_demodulation,[],[f489,f257]) ).
fof(f529,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xm) = sdtasdt0(X0,sdtasdt0(X1,xm)) ),
inference(resolution,[],[f151,f210]) ).
fof(f598,plain,
( sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[],[f213,f247]) ).
fof(f634,plain,
( isPrime0(sz00)
| spl11_12 ),
inference(superposition,[],[f214,f362]) ).
fof(f639,plain,
( $false
| spl11_6
| spl11_12 ),
inference(forward_subsumption_resolution,[],[f634,f291]) ).
fof(f640,plain,
( spl11_6
| spl11_12 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f646,plain,
( sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f598,f209]) ).
fof(f651,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_demodulation,[],[f646,f221]) ).
fof(f656,plain,
( sdtasdt0(xn,xm) = sF8
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_demodulation,[],[f651,f259]) ).
fof(f662,definition,
( spl11_36
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl11_36])],[avatar_definition]) ).
fof(f664,plain,
( sz00 = xp
| ~ spl11_36 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f671,plain,
( sF4 = sF8
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_demodulation,[],[f656,f251]) ).
fof(f673,plain,
( ~ aNaturalNumber0(sF4)
| sF4 = sF8
| sz00 = xp ),
inference(forward_demodulation,[],[f671,f251]) ).
fof(f678,plain,
( sF4 = sF8
| sz00 = xp ),
inference(forward_subsumption_resolution,[],[f673,f338]) ).
fof(f680,definition,
( spl11_39
<=> sF4 = sF8 ),
introduced(definition,[new_symbols(definition,[spl11_39])],[avatar_definition]) ).
fof(f682,plain,
( sF4 = sF8
| ~ spl11_39 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f683,plain,
( spl11_36
| spl11_39 ),
inference(avatar_split_clause,[],[f678,f680,f662]) ).
fof(f704,plain,
( isPrime0(sz00)
| ~ spl11_36 ),
inference(superposition,[],[f214,f664]) ).
fof(f709,plain,
( $false
| spl11_6
| ~ spl11_36 ),
inference(forward_subsumption_resolution,[],[f704,f291]) ).
fof(f710,plain,
( spl11_6
| ~ spl11_36 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f724,plain,
( sF8 = sdtasdt0(xr,sdtsldt0(sF8,xr))
| spl11_15
| ~ spl11_39 ),
inference(superposition,[],[f457,f682]) ).
fof(f725,plain,
( doDivides0(xr,sF8)
| ~ spl11_39 ),
inference(superposition,[],[f376,f682]) ).
fof(f726,plain,
( $false
| spl11_14
| ~ spl11_39 ),
inference(forward_subsumption_resolution,[],[f725,f353]) ).
fof(f727,plain,
( spl11_14
| ~ spl11_39 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f728,plain,
( sF8 = sdtasdt0(xr,sF9)
| spl11_15
| ~ spl11_39 ),
inference(forward_demodulation,[],[f724,f261]) ).
fof(f753,plain,
( sdtasdt0(sF9,xr) = sdtasdt0(xr,sF9)
| ~ spl11_7 ),
inference(resolution,[],[f308,f478]) ).
fof(f757,plain,
( sF8 = sdtasdt0(sF9,xr)
| ~ spl11_7
| spl11_15
| ~ spl11_39 ),
inference(forward_demodulation,[],[f753,f728]) ).
fof(f759,plain,
( sF8 = sF10
| ~ spl11_7
| spl11_15
| ~ spl11_39 ),
inference(forward_demodulation,[],[f757,f263]) ).
fof(f761,plain,
( sF4 != sF8
| spl11_1
| ~ spl11_7
| spl11_15
| ~ spl11_39 ),
inference(superposition,[],[f269,f759]) ).
fof(f762,plain,
( $false
| spl11_1
| ~ spl11_7
| spl11_15
| ~ spl11_39 ),
inference(forward_subsumption_resolution,[],[f761,f682]) ).
fof(f763,plain,
( spl11_1
| ~ spl11_7
| spl11_15
| ~ spl11_39 ),
inference(avatar_contradiction_clause,[],[f762]) ).
fof(f765,plain,
( sF7 != sF8
| spl11_2
| ~ spl11_39 ),
inference(forward_demodulation,[],[f273,f682]) ).
fof(f828,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sF5),xm) = sdtasdt0(X0,sdtasdt0(sF5,xm)) )
| ~ spl11_11 ),
inference(resolution,[],[f529,f326]) ).
fof(f836,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF6) = sdtasdt0(sdtasdt0(X0,sF5),xm) )
| ~ spl11_11 ),
inference(forward_demodulation,[],[f828,f255]) ).
fof(f849,plain,
( sdtasdt0(xr,sF6) = sdtasdt0(sdtasdt0(xr,sF5),xm)
| ~ spl11_11 ),
inference(resolution,[],[f836,f228]) ).
fof(f859,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xr,sF6)
| ~ spl11_11
| spl11_15 ),
inference(forward_demodulation,[],[f849,f453]) ).
fof(f861,plain,
( sdtasdt0(xn,xm) = sF7
| ~ spl11_9
| ~ spl11_11
| spl11_15 ),
inference(forward_demodulation,[],[f859,f490]) ).
fof(f862,plain,
( sF4 = sF7
| ~ spl11_9
| ~ spl11_11
| spl11_15 ),
inference(forward_demodulation,[],[f861,f251]) ).
fof(f863,plain,
( sF7 = sF8
| ~ spl11_9
| ~ spl11_11
| spl11_15
| ~ spl11_39 ),
inference(forward_demodulation,[],[f862,f682]) ).
fof(f864,plain,
( $false
| spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_15
| ~ spl11_39 ),
inference(forward_subsumption_resolution,[],[f863,f765]) ).
fof(f865,plain,
( spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_15
| ~ spl11_39 ),
inference(avatar_contradiction_clause,[],[f864]) ).
cnf(s1,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(sat_conversion,[],[f274]) ).
cnf(s3,plain,
( ~ spl11_5
| ~ spl11_6 ),
inference(sat_conversion,[],[f292]) ).
cnf(s5,plain,
spl11_5,
inference(sat_conversion,[],[f294]) ).
cnf(s8,plain,
( spl11_9
| ~ spl11_11 ),
inference(sat_conversion,[],[f328]) ).
cnf(s9,plain,
( ~ spl11_12
| spl11_13 ),
inference(sat_conversion,[],[f337]) ).
cnf(s10,plain,
( spl11_7
| ~ spl11_13
| ~ spl11_14
| spl11_15 ),
inference(sat_conversion,[],[f358]) ).
cnf(s11,plain,
( spl11_11
| spl11_15 ),
inference(sat_conversion,[],[f363]) ).
cnf(s16,plain,
( spl11_6
| ~ spl11_15 ),
inference(sat_conversion,[],[f443]) ).
cnf(s21,plain,
( spl11_6
| spl11_12 ),
inference(sat_conversion,[],[f640]) ).
cnf(s24,plain,
( spl11_36
| spl11_39 ),
inference(sat_conversion,[],[f683]) ).
cnf(s25,plain,
( spl11_6
| ~ spl11_36 ),
inference(sat_conversion,[],[f710]) ).
cnf(s26,plain,
( spl11_14
| ~ spl11_39 ),
inference(sat_conversion,[],[f727]) ).
cnf(s29,plain,
( spl11_1
| ~ spl11_7
| spl11_15
| ~ spl11_39 ),
inference(sat_conversion,[],[f763]) ).
cnf(s30,plain,
( spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_15
| ~ spl11_39 ),
inference(sat_conversion,[],[f865]) ).
cnf(s31,plain,
~ spl11_6,
inference(rat,[],[s3,s5]) ).
cnf(s32,plain,
~ spl11_36,
inference(rat,[],[s25,s31]) ).
cnf(s33,plain,
spl11_12,
inference(rat,[],[s21,s31]) ).
cnf(s34,plain,
~ spl11_15,
inference(rat,[],[s16,s31]) ).
cnf(s35,plain,
spl11_39,
inference(rat,[],[s24,s32]) ).
cnf(s37,plain,
spl11_13,
inference(rat,[],[s9,s33]) ).
cnf(s39,plain,
spl11_11,
inference(rat,[],[s11,s34]) ).
cnf(s41,plain,
spl11_14,
inference(rat,[],[s26,s35]) ).
cnf(s43,plain,
spl11_7,
inference(rat,[],[s10,s34,s41,s37]) ).
cnf(s44,plain,
spl11_9,
inference(rat,[],[s8,s39]) ).
cnf(s45,plain,
spl11_1,
inference(rat,[],[s29,s35,s34,s43]) ).
cnf(s47,plain,
spl11_2,
inference(rat,[],[s30,s35,s34,s39,s44]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s1,s47,s45]) ).
fof(f866,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM512+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 20:16:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.41/1.98 % (1133508)Detected formulas, will run a generic FOF schedule.
% 6.41/1.98 % (1133517)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2699067379:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.41/1.98 % (1133517)Instruction limit reached!
% 6.41/1.98 % (1133517)------------------------------
% 6.41/1.98 % (1133517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.98 % (1133517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.98 % (1133517)CaDiCaL version: 2.1.3
% 6.41/1.98 % (1133517)Termination reason: Instruction limit
% 6.41/1.98 % (1133517)Termination phase: Saturation
% 6.41/1.98 % (1133517)Time elapsed: 0.036 s
% 6.41/1.98 % (1133517)Peak memory usage: 88 MB
% 6.41/1.98 % (1133517)Instructions burned: 121 (million)
% 6.41/1.98 % (1133513)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2954959836:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.41/1.98 % (1133514)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1467029256:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.41/1.98 % (1133516)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=626336886:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.41/1.98 % (1133515)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=518062866:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.41/1.98 % (1133519)dis-21_1_sil=8000:lcm=predicate:random_seed=3065404976:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.41/1.98 % (1133518)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3162951853:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.41/1.98 % (1133516)Instruction limit reached!
% 6.41/1.98 % (1133516)------------------------------
% 6.41/1.98 % (1133516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.98 % (1133516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.98 % (1133516)CaDiCaL version: 2.1.3
% 6.41/1.98 % (1133516)Termination reason: Instruction limit
% 6.41/1.98 % (1133516)Termination phase: Saturation
% 6.41/1.98 % (1133516)Time elapsed: 0.069 s
% 6.41/1.98 % (1133516)Peak memory usage: 89 MB
% 6.41/1.98 % (1133516)Instructions burned: 111 (million)
% 6.41/1.98 % (1133519)Instruction limit reached!
% 6.41/1.98 % (1133519)------------------------------
% 6.41/1.98 % (1133519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.98 % (1133519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.98 % (1133519)CaDiCaL version: 2.1.3
% 6.41/1.98 % (1133519)Termination reason: Instruction limit
% 6.41/1.98 % (1133519)Termination phase: Saturation
% 6.41/1.98 % (1133519)Time elapsed: 0.079 s
% 6.41/1.98 % (1133519)Peak memory usage: 90 MB
% 6.41/1.98 % (1133519)Instructions burned: 130 (million)
% 6.41/1.98 % (1133518)Instruction limit reached!
% 6.41/1.98 % (1133518)------------------------------
% 6.41/1.98 % (1133518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.98 % (1133518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.98 % (1133518)CaDiCaL version: 2.1.3
% 6.41/1.98 % (1133518)Termination reason: Instruction limit
% 6.41/1.98 % (1133518)Termination phase: Saturation
% 6.41/1.98 % (1133518)Time elapsed: 0.091 s
% 6.41/1.98 % (1133518)Peak memory usage: 90 MB
% 6.41/1.98 % (1133518)Instructions burned: 140 (million)
% 6.41/1.98 % (1133525)lrs+10_1_sil=8000:sp=occurrence:random_seed=2995050671:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.41/1.98 % (1133525)Instruction limit reached!
% 6.41/1.98 % (1133525)------------------------------
% 6.41/1.98 % (1133525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.98 % (1133525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.98 % (1133525)CaDiCaL version: 2.1.3
% 6.41/1.98 % (1133525)Termination reason: Instruction limit
% 6.41/1.98 % (1133525)Termination phase: Saturation
% 6.41/1.98 % (1133525)Time elapsed: 0.092 s
% 6.41/1.98 % (1133525)Peak memory usage: 92 MB
% 6.41/1.98 % (1133525)Instructions burned: 287 (million)
% 6.41/1.98 % (1133528)lrs+10_1_sil=32000:urr=on:br=off:random_seed=852886090:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.41/1.98 % (1133529)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4174885238:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.41/1.98 % (1133530)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3703733399:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.41/1.98 % (1133528)Instruction limit reached!
% 6.41/1.98 % (1133528)------------------------------
% 6.41/1.98 % (1133528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.98 % (1133528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.98 % (1133528)CaDiCaL version: 2.1.3
% 6.41/1.98 % (1133528)Termination reason: Instruction limit
% 6.41/1.98 % (1133528)Termination phase: Saturation
% 6.41/1.98 % (1133528)Time elapsed: 0.072 s
% 6.41/1.98 % (1133528)Peak memory usage: 90 MB
% 6.41/1.98 % (1133528)Instructions burned: 158 (million)
% 6.41/1.98 % (1133532)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2698032789:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.41/1.98 % (1133530)Instruction limit reached!
% 6.41/1.98 % (1133530)------------------------------
% 6.41/1.98 % (1133530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.98 % (1133530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.98 % (1133530)CaDiCaL version: 2.1.3
% 6.41/1.98 % (1133530)Termination reason: Instruction limit
% 6.41/1.98 % (1133530)Termination phase: Saturation
% 6.41/1.98 % (1133530)Time elapsed: 0.114 s
% 6.41/1.98 % (1133530)Peak memory usage: 94 MB
% 6.41/1.98 % (1133530)Instructions burned: 248 (million)
% 6.41/1.98 % (1133532)Instruction limit reached!
% 6.41/1.98 % (1133532)------------------------------
% 6.41/1.98 % (1133532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.98 % (1133532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.98 % (1133532)CaDiCaL version: 2.1.3
% 6.41/1.98 % (1133532)Termination reason: Instruction limit
% 6.41/1.98 % (1133532)Termination phase: Saturation
% 6.41/1.98 % (1133532)Time elapsed: 0.081 s
% 6.41/1.98 % (1133532)Peak memory usage: 89 MB
% 6.41/1.98 % (1133532)Instructions burned: 296 (million)
% 6.41/1.98 % (1133529)Instruction limit reached!
% 6.41/1.98 % (1133529)------------------------------
% 6.41/1.98 % (1133529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.98 % (1133529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.98 % (1133529)CaDiCaL version: 2.1.3
% 6.41/1.98 % (1133529)Termination reason: Instruction limit
% 6.41/1.98 % (1133529)Termination phase: Saturation
% 6.41/1.98 % (1133529)Time elapsed: 0.204 s
% 6.41/1.98 % (1133529)Peak memory usage: 92 MB
% 6.41/1.98 % (1133529)Instructions burned: 326 (million)
% 6.41/1.98 % (1133536)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=298374553:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.41/1.98 % (1133539)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3200402968:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.41/1.98 % (1133538)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4240124454:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.41/1.98 % (1133539)Instruction limit reached!
% 6.41/1.98 % (1133539)------------------------------
% 6.41/1.98 % (1133539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.98 % (1133539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.98 % (1133539)CaDiCaL version: 2.1.3
% 6.41/1.98 % (1133539)Termination reason: Instruction limit
% 6.41/1.98 % (1133539)Termination phase: Saturation
% 6.41/1.98 % (1133539)Time elapsed: 0.034 s
% 6.41/1.98 % (1133539)Peak memory usage: 89 MB
% 6.41/1.98 % (1133539)Instructions burned: 129 (million)
% 6.41/1.98 % (1133538)Instruction limit reached!
% 6.41/1.98 % (1133538)------------------------------
% 6.41/1.98 % (1133538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.98 % (1133538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.98 % (1133538)CaDiCaL version: 2.1.3
% 6.41/1.98 % (1133538)Termination reason: Instruction limit
% 6.41/1.98 % (1133538)Termination phase: Saturation
% 6.41/1.98 % (1133538)Time elapsed: 0.068 s
% 6.41/1.98 % (1133538)Peak memory usage: 90 MB
% 6.41/1.98 % (1133538)Instructions burned: 114 (million)
% 6.41/1.98 % (1133540)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3436226576:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.41/1.98 % (1133540)Instruction limit reached!
% 6.41/1.98 % (1133540)------------------------------
% 6.41/1.98 % (1133540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.41/1.98 % (1133540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.41/1.98 % (1133540)CaDiCaL version: 2.1.3
% 6.41/1.98 % (1133540)Termination reason: Instruction limit
% 6.41/1.98 % (1133540)Termination phase: Saturation
% 6.41/1.98 % (1133540)Time elapsed: 0.059 s
% 6.41/1.98 % (1133540)Peak memory usage: 89 MB
% 6.41/1.98 % (1133540)Instructions burned: 114 (million)
% 6.41/1.98 % (1133513)First to succeed.
% 6.41/1.98 % (1133513)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1133508"
% 6.41/1.98 % (1133544)lrs+10_1_sil=8000:sp=occurrence:random_seed=2327587785:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.41/1.98 % (1133545)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2493447978:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.41/1.98 % (1133547)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1196712332:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.41/1.98 % (1133515)Also succeeded, but the first one will report.
% 6.41/1.98 % (1133513)Refutation found. Thanks to Tanya!
% 6.41/1.98 % SZS status Theorem for theBenchmark
% 6.41/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 8.46/2.07 % (1133513)------------------------------
% 8.46/2.07 % (1133513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.46/2.07 % (1133513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/2.07 % (1133513)CaDiCaL version: 2.1.3
% 8.46/2.07 % (1133513)Termination reason: Refutation
% 8.46/2.07 % (1133513)Time elapsed: 0.697 s
% 8.46/2.07 % (1133513)Peak memory usage: 129 MB
% 8.46/2.07 % (1133513)Instructions burned: 1047 (million)
% 8.46/2.07 % (1133513)------------------------------
% 8.46/2.07 % (1133513)------------------------------
% 8.46/2.07 % (1133508)Success in time 1.131 s
% 8.46/2.07 % Vampire exiting
%------------------------------------------------------------------------------