%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM513+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 12:15:32 PM UTC 2026
% Result : Theorem 6.50s 1.93s
% Output : Refutation 8.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 27
% Syntax : Number of formulae : 166 ( 43 unt; 13 def)
% Number of atoms : 535 ( 154 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 619 ( 250 ~; 294 |; 51 &)
% ( 15 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 80 !; 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(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(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).
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,axiom,
( 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__2576) ).
fof(f55,conjecture,
sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f56,negated_conjecture,
sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(sdtsldt0(xn,xr),xm),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f59,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(flattening,[],[f56]) ).
fof(f62,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f63,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f62]) ).
fof(f69,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f70,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f69]) ).
fof(f108,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(f109,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,[],[f108]) ).
fof(f118,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f119,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f118]) ).
fof(f120,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(f121,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f120]) ).
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(nnf_transformation,[],[f109]) ).
fof(f136,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,[],[f135]) ).
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(nnf_transformation,[],[f121]) ).
fof(f138,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,[],[f137]) ).
fof(f139,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,[],[f138]) ).
fof(f140,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))],[f139]) ).
fof(f142,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f146,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f151,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f193,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f194,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f202,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f210,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f211,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f212,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f214,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f215,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f222,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f227,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f228,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f229,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f230,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f49]) ).
fof(f235,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f238,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr),
inference(cnf_transformation,[],[f54]) ).
fof(f240,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f59]) ).
fof(f248,plain,
! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f194]) ).
fof(f249,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f193]) ).
fof(f251,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_resolution,[],[f202]) ).
fof(f253,definition,
sF4 = sdtsldt0(xn,xr),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f254,plain,
sdtsldt0(xn,xr) = sF4,
inference(reorient_equations,[],[f253]) ).
fof(f255,definition,
sF5 = sdtasdt0(sF4,xm),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f256,plain,
sdtasdt0(sF4,xm) = sF5,
inference(reorient_equations,[],[f255]) ).
fof(f257,definition,
sF6 = sdtsldt0(xk,xr),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f258,plain,
sdtsldt0(xk,xr) = sF6,
inference(reorient_equations,[],[f257]) ).
fof(f259,definition,
sF7 = sdtasdt0(xp,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f260,plain,
sdtasdt0(xp,sF6) = sF7,
inference(reorient_equations,[],[f259]) ).
fof(f261,plain,
sF5 != sF7,
inference(definition_folding,[],[f240,f260,f258,f256,f254]) ).
fof(f273,definition,
( spl8_3
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f277,definition,
( spl8_4
<=> isPrime0(sz00) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f279,plain,
( ~ isPrime0(sz00)
| spl8_4 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,plain,
( ~ spl8_3
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f251,f277,f273]) ).
fof(f282,plain,
spl8_3,
inference(avatar_split_clause,[],[f142,f273]) ).
fof(f287,plain,
( aNaturalNumber0(sF7)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sF6) ),
inference(superposition,[],[f146,f260]) ).
fof(f292,plain,
( aNaturalNumber0(sF7)
| ~ aNaturalNumber0(sF6) ),
inference(forward_subsumption_resolution,[],[f287,f210]) ).
fof(f300,definition,
( spl8_6
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f301,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl8_6 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f302,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f305,definition,
( spl8_7
<=> aNaturalNumber0(sF4) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f306,plain,
( aNaturalNumber0(sF4)
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f307,plain,
( ~ aNaturalNumber0(sF4)
| spl8_7 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f310,definition,
( spl8_8
<=> aNaturalNumber0(sF6) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
fof(f312,plain,
( ~ aNaturalNumber0(sF6)
| spl8_8 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl8_9
<=> aNaturalNumber0(sF7) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
fof(f316,plain,
( aNaturalNumber0(sF7)
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,plain,
( ~ spl8_8
| spl8_9 ),
inference(avatar_split_clause,[],[f292,f314,f310]) ).
fof(f340,plain,
( aNaturalNumber0(sF6)
| sz00 = xr
| ~ doDivides0(xr,xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[],[f249,f258]) ).
fof(f341,plain,
( aNaturalNumber0(sF4)
| sz00 = xr
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f249,f254]) ).
fof(f342,plain,
( aNaturalNumber0(xk)
| sz00 = xp
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f249,f222]) ).
fof(f343,plain,
( aNaturalNumber0(xk)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f342,f214]) ).
fof(f344,plain,
( sz00 = xr
| ~ doDivides0(xr,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f341,f307]) ).
fof(f345,plain,
( sz00 = xr
| ~ doDivides0(xr,xk)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| spl8_8 ),
inference(forward_subsumption_resolution,[],[f340,f312]) ).
fof(f346,plain,
( aNaturalNumber0(xk)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f343,f210]) ).
fof(f347,plain,
( sz00 = xr
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f344,f235]) ).
fof(f348,plain,
( sz00 = xr
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| spl8_8 ),
inference(forward_subsumption_resolution,[],[f345,f228]) ).
fof(f350,definition,
( spl8_11
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
fof(f352,plain,
( sz00 = xp
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f354,definition,
( spl8_12
<=> aNaturalNumber0(xk) ),
introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition]) ).
fof(f356,plain,
( aNaturalNumber0(xk)
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f357,plain,
( ~ spl8_6
| spl8_11
| spl8_12 ),
inference(avatar_split_clause,[],[f346,f354,f350,f300]) ).
fof(f358,plain,
( sz00 = xr
| ~ aNaturalNumber0(xn)
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f347,f229]) ).
fof(f359,plain,
( sz00 = xr
| ~ aNaturalNumber0(xk)
| spl8_8 ),
inference(forward_subsumption_resolution,[],[f348,f229]) ).
fof(f360,plain,
( sz00 = xr
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f358,f212]) ).
fof(f362,definition,
( spl8_13
<=> sz00 = xr ),
introduced(definition,[new_symbols(definition,[spl8_13])],[avatar_definition]) ).
fof(f363,plain,
( sz00 != xr
| spl8_13 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f364,plain,
( sz00 = xr
| ~ spl8_13 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f365,plain,
( ~ spl8_12
| spl8_13
| spl8_8 ),
inference(avatar_split_clause,[],[f359,f310,f362,f354]) ).
fof(f366,plain,
( spl8_13
| spl8_7 ),
inference(avatar_split_clause,[],[f360,f305,f362]) ).
fof(f367,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl8_6 ),
inference(resolution,[],[f301,f146]) ).
fof(f368,plain,
( ~ aNaturalNumber0(xm)
| spl8_6 ),
inference(forward_subsumption_resolution,[],[f367,f212]) ).
fof(f369,plain,
( $false
| spl8_6 ),
inference(forward_subsumption_resolution,[],[f368,f211]) ).
fof(f370,plain,
spl8_6,
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f371,plain,
( isPrime0(sz00)
| ~ spl8_13 ),
inference(superposition,[],[f227,f364]) ).
fof(f380,plain,
( $false
| spl8_4
| ~ spl8_13 ),
inference(forward_subsumption_resolution,[],[f371,f279]) ).
fof(f381,plain,
( spl8_4
| ~ spl8_13 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f418,plain,
( isPrime0(sz00)
| ~ spl8_11 ),
inference(superposition,[],[f215,f352]) ).
fof(f423,plain,
( $false
| spl8_4
| ~ spl8_11 ),
inference(forward_subsumption_resolution,[],[f418,f279]) ).
fof(f424,plain,
( spl8_4
| ~ spl8_11 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f441,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(xm,X0) ),
inference(resolution,[],[f151,f211]) ).
fof(f444,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xr) = sdtasdt0(xr,X0) ),
inference(resolution,[],[f151,f229]) ).
fof(f449,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xr
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f228,f199]) ).
fof(f450,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) )
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f449,f363]) ).
fof(f452,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xk) )
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f450,f229]) ).
fof(f454,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) )
| ~ spl8_12
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f452,f356]) ).
fof(f456,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF6) = sdtsldt0(sdtasdt0(X0,xk),xr) )
| ~ spl8_12
| spl8_13 ),
inference(forward_demodulation,[],[f454,f258]) ).
fof(f462,plain,
( sdtsldt0(sdtasdt0(xp,xk),xr) = sdtasdt0(xp,sF6)
| ~ spl8_12
| spl8_13 ),
inference(resolution,[],[f456,f210]) ).
fof(f469,plain,
( sdtsldt0(sdtasdt0(xp,xk),xr) = sF7
| ~ spl8_12
| spl8_13 ),
inference(forward_demodulation,[],[f462,f260]) ).
fof(f470,plain,
( sdtasdt0(xn,xm) = sdtasdt0(sF7,xr)
| ~ spl8_12
| spl8_13 ),
inference(superposition,[],[f238,f469]) ).
fof(f502,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[],[f441,f212]) ).
fof(f507,plain,
( sdtasdt0(sF4,xm) = sdtasdt0(xm,sF4)
| ~ spl8_7 ),
inference(resolution,[],[f441,f306]) ).
fof(f511,plain,
( sF5 = sdtasdt0(xm,sF4)
| ~ spl8_7 ),
inference(forward_demodulation,[],[f507,f256]) ).
fof(f531,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xr
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f235,f199]) ).
fof(f532,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) )
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f531,f363]) ).
fof(f534,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| ~ aNaturalNumber0(xn) )
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f532,f229]) ).
fof(f536,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) )
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f534,f212]) ).
fof(f538,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF4) = sdtsldt0(sdtasdt0(X0,xn),xr) )
| spl8_13 ),
inference(forward_demodulation,[],[f536,f254]) ).
fof(f543,plain,
( sdtasdt0(xm,sF4) = sdtsldt0(sdtasdt0(xm,xn),xr)
| spl8_13 ),
inference(resolution,[],[f538,f211]) ).
fof(f552,plain,
( sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xm,sF4)
| spl8_13 ),
inference(forward_demodulation,[],[f543,f502]) ).
fof(f553,plain,
( sF5 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ spl8_7
| spl8_13 ),
inference(forward_demodulation,[],[f552,f511]) ).
fof(f589,plain,
( sdtasdt0(sF7,xr) = sdtasdt0(xr,sF7)
| ~ spl8_9 ),
inference(resolution,[],[f444,f316]) ).
fof(f590,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xr,sF7)
| ~ spl8_9
| ~ spl8_12
| spl8_13 ),
inference(forward_demodulation,[],[f589,f470]) ).
fof(f594,plain,
( ~ doDivides0(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sF7)
| sz00 = xr
| sF7 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl8_9
| ~ spl8_12
| spl8_13 ),
inference(superposition,[],[f248,f590]) ).
fof(f596,plain,
( ~ aNaturalNumber0(sF7)
| sz00 = xr
| sF7 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl8_9
| ~ spl8_12
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f594,f230]) ).
fof(f597,plain,
( sz00 = xr
| sF7 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl8_9
| ~ spl8_12
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f596,f316]) ).
fof(f598,plain,
( sF7 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl8_9
| ~ spl8_12
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f597,f363]) ).
fof(f599,plain,
( sF7 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl8_9
| ~ spl8_12
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f598,f229]) ).
fof(f600,plain,
( sF7 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ spl8_6
| ~ spl8_9
| ~ spl8_12
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f599,f302]) ).
fof(f601,plain,
( sF5 = sF7
| ~ spl8_6
| ~ spl8_7
| ~ spl8_9
| ~ spl8_12
| spl8_13 ),
inference(forward_demodulation,[],[f600,f553]) ).
fof(f602,plain,
( $false
| ~ spl8_6
| ~ spl8_7
| ~ spl8_9
| ~ spl8_12
| spl8_13 ),
inference(forward_subsumption_resolution,[],[f601,f261]) ).
fof(f603,plain,
( ~ spl8_6
| ~ spl8_7
| ~ spl8_9
| ~ spl8_12
| spl8_13 ),
inference(avatar_contradiction_clause,[],[f602]) ).
cnf(s2,plain,
( ~ spl8_3
| ~ spl8_4 ),
inference(sat_conversion,[],[f280]) ).
cnf(s4,plain,
spl8_3,
inference(sat_conversion,[],[f282]) ).
cnf(s7,plain,
( ~ spl8_8
| spl8_9 ),
inference(sat_conversion,[],[f317]) ).
cnf(s10,plain,
( ~ spl8_6
| spl8_11
| spl8_12 ),
inference(sat_conversion,[],[f357]) ).
cnf(s11,plain,
( spl8_8
| ~ spl8_12
| spl8_13 ),
inference(sat_conversion,[],[f365]) ).
cnf(s12,plain,
( spl8_7
| spl8_13 ),
inference(sat_conversion,[],[f366]) ).
cnf(s13,plain,
spl8_6,
inference(sat_conversion,[],[f370]) ).
cnf(s14,plain,
( spl8_4
| ~ spl8_13 ),
inference(sat_conversion,[],[f381]) ).
cnf(s18,plain,
( spl8_4
| ~ spl8_11 ),
inference(sat_conversion,[],[f424]) ).
cnf(s24,plain,
( ~ spl8_6
| ~ spl8_7
| ~ spl8_9
| ~ spl8_12
| spl8_13 ),
inference(sat_conversion,[],[f603]) ).
cnf(s25,plain,
( spl8_11
| spl8_12 ),
inference(rat,[],[s10,s13]) ).
cnf(s26,plain,
~ spl8_4,
inference(rat,[],[s2,s4]) ).
cnf(s27,plain,
~ spl8_11,
inference(rat,[],[s18,s26]) ).
cnf(s28,plain,
~ spl8_13,
inference(rat,[],[s14,s26]) ).
cnf(s29,plain,
spl8_12,
inference(rat,[],[s25,s27]) ).
cnf(s30,plain,
spl8_7,
inference(rat,[],[s12,s28]) ).
cnf(s31,plain,
spl8_8,
inference(rat,[],[s11,s28,s29]) ).
cnf(s32,plain,
~ spl8_9,
inference(rat,[],[s24,s28,s29,s13,s30]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s7,s32,s31]) ).
fof(f604,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM513+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 20:16:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 6.50/1.93 % (1133946)Detected formulas, will run a generic FOF schedule.
% 6.50/1.93 % (1133956)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3825534414:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.50/1.93 % (1133953)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=1735346438:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.50/1.93 % (1133951)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=2206598730:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.50/1.93 % (1133954)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3946292577:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.50/1.93 % (1133957)dis-21_1_sil=8000:lcm=predicate:random_seed=1718542948: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)
% 6.50/1.93 % (1133952)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=1280260376:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.50/1.93 % (1133955)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4217043802:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.50/1.93 % (1133956)Instruction limit reached!
% 6.50/1.93 % (1133956)------------------------------
% 6.50/1.93 % (1133956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133956)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133956)Termination reason: Instruction limit
% 6.50/1.93 % (1133956)Termination phase: Saturation
% 6.50/1.93 % (1133956)Time elapsed: 0.050 s
% 6.50/1.93 % (1133956)Peak memory usage: 90 MB
% 6.50/1.93 % (1133956)Instructions burned: 139 (million)
% 6.50/1.93 % (1133954)Instruction limit reached!
% 6.50/1.93 % (1133954)------------------------------
% 6.50/1.93 % (1133954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133954)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133954)Termination reason: Instruction limit
% 6.50/1.93 % (1133954)Termination phase: Saturation
% 6.50/1.93 % (1133954)Time elapsed: 0.062 s
% 6.50/1.93 % (1133954)Peak memory usage: 89 MB
% 6.50/1.93 % (1133954)Instructions burned: 109 (million)
% 6.50/1.93 % (1133955)Instruction limit reached!
% 6.50/1.93 % (1133955)------------------------------
% 6.50/1.93 % (1133955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133955)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133955)Termination reason: Instruction limit
% 6.50/1.93 % (1133955)Termination phase: Saturation
% 6.50/1.93 % (1133955)Time elapsed: 0.070 s
% 6.50/1.93 % (1133955)Peak memory usage: 88 MB
% 6.50/1.93 % (1133955)Instructions burned: 119 (million)
% 6.50/1.93 % (1133957)Instruction limit reached!
% 6.50/1.93 % (1133957)------------------------------
% 6.50/1.93 % (1133957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133957)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133957)Termination reason: Instruction limit
% 6.50/1.93 % (1133957)Termination phase: Saturation
% 6.50/1.93 % (1133957)Time elapsed: 0.079 s
% 6.50/1.93 % (1133957)Peak memory usage: 90 MB
% 6.50/1.93 % (1133957)Instructions burned: 129 (million)
% 6.50/1.93 % (1133965)lrs+10_1_sil=8000:sp=occurrence:random_seed=3396106051:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.50/1.93 % (1133965)Instruction limit reached!
% 6.50/1.93 % (1133965)------------------------------
% 6.50/1.93 % (1133965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133965)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133965)Termination reason: Instruction limit
% 6.50/1.93 % (1133965)Termination phase: Saturation
% 6.50/1.93 % (1133965)Time elapsed: 0.092 s
% 6.50/1.93 % (1133965)Peak memory usage: 92 MB
% 6.50/1.93 % (1133965)Instructions burned: 288 (million)
% 6.50/1.93 % (1133966)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1122856520:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.50/1.93 % (1133967)lrs+1011_1_sil=32000:sp=occurrence:random_seed=33662803:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.50/1.93 % (1133968)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=4035669281:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.50/1.93 % (1133966)Instruction limit reached!
% 6.50/1.93 % (1133966)------------------------------
% 6.50/1.93 % (1133966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133966)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133966)Termination reason: Instruction limit
% 6.50/1.93 % (1133966)Termination phase: Saturation
% 6.50/1.93 % (1133966)Time elapsed: 0.071 s
% 6.50/1.93 % (1133966)Peak memory usage: 90 MB
% 6.50/1.93 % (1133966)Instructions burned: 158 (million)
% 6.50/1.93 % (1133971)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=277860928:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.50/1.93 % (1133968)Instruction limit reached!
% 6.50/1.93 % (1133968)------------------------------
% 6.50/1.93 % (1133968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133968)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133968)Termination reason: Instruction limit
% 6.50/1.93 % (1133968)Termination phase: Saturation
% 6.50/1.93 % (1133968)Time elapsed: 0.116 s
% 6.50/1.93 % (1133968)Peak memory usage: 94 MB
% 6.50/1.93 % (1133968)Instructions burned: 249 (million)
% 6.50/1.93 % (1133971)Instruction limit reached!
% 6.50/1.93 % (1133971)------------------------------
% 6.50/1.93 % (1133971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133971)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133971)Termination reason: Instruction limit
% 6.50/1.93 % (1133971)Termination phase: Saturation
% 6.50/1.93 % (1133971)Time elapsed: 0.086 s
% 6.50/1.93 % (1133971)Peak memory usage: 90 MB
% 6.50/1.93 % (1133971)Instructions burned: 297 (million)
% 6.50/1.93 % (1133974)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1069465042:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.50/1.93 % (1133967)Instruction limit reached!
% 6.50/1.93 % (1133967)------------------------------
% 6.50/1.93 % (1133967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133967)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133967)Termination reason: Instruction limit
% 6.50/1.93 % (1133967)Termination phase: Saturation
% 6.50/1.93 % (1133967)Time elapsed: 0.200 s
% 6.50/1.93 % (1133967)Peak memory usage: 92 MB
% 6.50/1.93 % (1133967)Instructions burned: 325 (million)
% 6.50/1.93 % (1133977)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1010067829:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.50/1.93 % (1133976)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3640922695:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.50/1.93 % (1133977)Instruction limit reached!
% 6.50/1.93 % (1133977)------------------------------
% 6.50/1.93 % (1133977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133977)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133977)Termination reason: Instruction limit
% 6.50/1.93 % (1133977)Termination phase: Saturation
% 6.50/1.93 % (1133977)Time elapsed: 0.034 s
% 6.50/1.93 % (1133977)Peak memory usage: 89 MB
% 6.50/1.93 % (1133977)Instructions burned: 127 (million)
% 6.50/1.93 % (1133976)Instruction limit reached!
% 6.50/1.93 % (1133976)------------------------------
% 6.50/1.93 % (1133976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133976)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133976)Termination reason: Instruction limit
% 6.50/1.93 % (1133976)Termination phase: Saturation
% 6.50/1.93 % (1133976)Time elapsed: 0.072 s
% 6.50/1.93 % (1133976)Peak memory usage: 91 MB
% 6.50/1.93 % (1133976)Instructions burned: 114 (million)
% 6.50/1.93 % (1133979)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1682145238:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.50/1.93 % (1133982)lrs+10_1_sil=8000:sp=occurrence:random_seed=3790621741:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.50/1.93 % (1133979)Instruction limit reached!
% 6.50/1.93 % (1133979)------------------------------
% 6.50/1.93 % (1133979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133979)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133979)Termination reason: Instruction limit
% 6.50/1.93 % (1133979)Termination phase: Saturation
% 6.50/1.93 % (1133979)Time elapsed: 0.060 s
% 6.50/1.93 % (1133979)Peak memory usage: 89 MB
% 6.50/1.93 % (1133979)Instructions burned: 115 (million)
% 6.50/1.93 % (1133951)First to succeed.
% 6.50/1.93 % (1133951)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1133946"
% 6.50/1.93 % (1133983)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1375411340:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.50/1.93 % (1133986)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=984750554:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.50/1.93 % (1133952)Also succeeded, but the first one will report.
% 6.50/1.93 % (1133983)Also succeeded, but the first one will report.
% 6.50/1.93 % (1133982)Instruction limit reached!
% 6.50/1.93 % (1133982)------------------------------
% 6.50/1.93 % (1133982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.50/1.93 % (1133982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.93 % (1133982)CaDiCaL version: 2.1.3
% 6.50/1.93 % (1133982)Termination reason: Instruction limit
% 6.50/1.93 % (1133982)Termination phase: Saturation
% 6.50/1.93 % (1133982)Time elapsed: 0.274 s
% 6.50/1.93 % (1133982)Peak memory usage: 97 MB
% 6.50/1.93 % (1133982)Instructions burned: 910 (million)
% 6.50/1.93 % (1133951)Refutation found. Thanks to Tanya!
% 6.50/1.93 % SZS status Theorem for theBenchmark
% 6.50/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 8.12/2.11 % (1133951)------------------------------
% 8.12/2.11 % (1133951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.11 % (1133951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.11 % (1133951)CaDiCaL version: 2.1.3
% 8.12/2.11 % (1133951)Termination reason: Refutation
% 8.12/2.11 % (1133951)Time elapsed: 0.661 s
% 8.12/2.11 % (1133951)Peak memory usage: 130 MB
% 8.12/2.11 % (1133951)Instructions burned: 991 (million)
% 8.12/2.11 % (1133951)------------------------------
% 8.12/2.11 % (1133951)------------------------------
% 8.12/2.11 % (1133946)Success in time 1.071 s
% 8.12/2.11 % Vampire exiting
%------------------------------------------------------------------------------