%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM511+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:24:36 PM UTC 2026
% Result : Theorem 35.95s 5.50s
% Output : Refutation 35.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 98 ( 37 unt; 2 def)
% Number of atoms : 336 ( 138 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 376 ( 138 ~; 139 |; 85 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 84 ( 71 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
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(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f45,axiom,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xr = sdtasdt0(X0,X1) )
| doDivides0(X0,xr) ) )
=> ( X0 = sz10
| X0 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f49,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xk )
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X0) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2362) ).
fof(f52,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
& doDivides0(xr,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
fof(f54,conjecture,
( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X0) )
| doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f55,negated_conjecture,
~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X0) )
| doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ),
inference(negated_conjecture,[status(cth)],[f54]) ).
fof(f61,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = xr )
| doDivides0(X1,xr) ) )
=> ( sz10 = X1
| xr = X1 ) )
& isPrime0(xr) ),
inference(rectify,[],[f48]) ).
fof(f62,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xk )
& ? [X1] :
( aNaturalNumber0(X1)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X1) )
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(rectify,[],[f49]) ).
fof(f66,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f67,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f66]) ).
fof(f73,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f74,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f73]) ).
fof(f112,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(f113,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,[],[f112]) ).
fof(f122,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(f123,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,[],[f122]) ).
fof(f135,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(ennf_transformation,[],[f61]) ).
fof(f136,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(flattening,[],[f135]) ).
fof(f139,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm) )
& ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
inference(ennf_transformation,[],[f55]) ).
fof(f140,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm) )
& ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
inference(flattening,[],[f139]) ).
fof(f154,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,[],[f113]) ).
fof(f155,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,[],[f154]) ).
fof(f171,plain,
( aNaturalNumber0(xr)
& aNaturalNumber0(sK14)
& xk = sdtasdt0(xr,sK14)
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f136]) ).
fof(f172,plain,
( aNaturalNumber0(sK15)
& xk = sdtpldt0(xr,sK15)
& aNaturalNumber0(sK16)
& sdtasdt0(xn,xm) = sdtasdt0(xr,sK16)
& doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X0,sK15),skolemize(X1,sK16)],[f62]) ).
fof(f178,plain,
( aNaturalNumber0(sK20)
& xn = sdtasdt0(xr,sK20)
& doDivides0(xr,xn) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X0,sK20)],[f52]) ).
fof(f184,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f189,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f232,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,[],[f155]) ).
fof(f237,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,[],[f123]) ).
fof(f248,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f249,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f250,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f288,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f289,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f298,plain,
sz00 != xr,
inference(cnf_transformation,[],[f171]) ).
fof(f299,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f171]) ).
fof(f300,plain,
xk = sdtasdt0(xr,sK14),
inference(cnf_transformation,[],[f171]) ).
fof(f301,plain,
aNaturalNumber0(sK14),
inference(cnf_transformation,[],[f171]) ).
fof(f302,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f171]) ).
fof(f303,plain,
doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f172]) ).
fof(f304,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,sK16),
inference(cnf_transformation,[],[f172]) ).
fof(f305,plain,
aNaturalNumber0(sK16),
inference(cnf_transformation,[],[f172]) ).
fof(f318,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f178]) ).
fof(f330,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f140]) ).
fof(f332,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm) ),
inference(cnf_transformation,[],[f140]) ).
fof(f340,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,[],[f232]) ).
fof(f345,definition,
sF22 = sdtsldt0(xn,xr),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f346,plain,
sdtsldt0(xn,xr) = sF22,
inference(reorient_equations,[],[f345]) ).
fof(f347,definition,
sF23 = sdtasdt0(sF22,xm),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f348,plain,
sdtasdt0(sF22,xm) = sF23,
inference(reorient_equations,[],[f347]) ).
fof(f349,plain,
! [X0] :
( sdtasdt0(xp,X0) != sF23
| ~ aNaturalNumber0(X0) ),
inference(definition_folding,[],[f332,f348,f346]) ).
fof(f351,plain,
aNaturalNumber0(sF22),
inference(definition_folding,[],[f330,f346]) ).
fof(f526,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK16) ),
inference(superposition,[],[f184,f304]) ).
fof(f533,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK16) ),
inference(forward_subsumption_resolution,[],[f526,f302]) ).
fof(f537,plain,
aNaturalNumber0(sdtasdt0(xn,xm)),
inference(forward_subsumption_resolution,[],[f533,f305]) ).
fof(f585,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(resolution,[],[f189,f250]) ).
fof(f602,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF22) = sdtasdt0(sF22,X0) ),
inference(resolution,[],[f189,f351]) ).
fof(f3512,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xr
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f237,f318]) ).
fof(f3514,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xr
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f237,f299]) ).
fof(f3538,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f3514,f298]) ).
fof(f3540,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f3512,f298]) ).
fof(f3550,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f3538,f302]) ).
fof(f3552,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f3540,f302]) ).
fof(f3557,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) ),
inference(forward_subsumption_resolution,[],[f3550,f289]) ).
fof(f3559,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) ),
inference(forward_subsumption_resolution,[],[f3552,f250]) ).
fof(f3564,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF22) = sdtsldt0(sdtasdt0(X0,xn),xr) ),
inference(forward_demodulation,[],[f3559,f346]) ).
fof(f3573,plain,
( ~ doDivides0(xr,xk)
| ~ aNaturalNumber0(sK14)
| sz00 = xr
| sK14 = sdtsldt0(xk,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[],[f340,f300]) ).
fof(f3574,plain,
( ~ doDivides0(xr,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sK16)
| sz00 = xr
| sK16 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f340,f304]) ).
fof(f3602,plain,
( ~ aNaturalNumber0(sK16)
| sz00 = xr
| sK16 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f3574,f303]) ).
fof(f3603,plain,
( ~ aNaturalNumber0(sK14)
| sz00 = xr
| sK14 = sdtsldt0(xk,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f3573,f299]) ).
fof(f3618,plain,
( sz00 = xr
| sK16 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f3602,f305]) ).
fof(f3619,plain,
( sz00 = xr
| sK14 = sdtsldt0(xk,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f3603,f301]) ).
fof(f3632,plain,
( sK16 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f3618,f298]) ).
fof(f3633,plain,
( sK14 = sdtsldt0(xk,xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f3619,f298]) ).
fof(f3642,plain,
( sK16 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f3632,f302]) ).
fof(f3643,plain,
( sK14 = sdtsldt0(xk,xr)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f3633,f302]) ).
fof(f3649,plain,
sK16 = sdtsldt0(sdtasdt0(xn,xm),xr),
inference(forward_subsumption_resolution,[],[f3642,f537]) ).
fof(f3650,plain,
sK14 = sdtsldt0(xk,xr),
inference(forward_subsumption_resolution,[],[f3643,f289]) ).
fof(f4706,plain,
sdtasdt0(sF22,xm) = sdtasdt0(xm,sF22),
inference(resolution,[],[f602,f249]) ).
fof(f4732,plain,
sF23 = sdtasdt0(xm,sF22),
inference(forward_demodulation,[],[f4706,f348]) ).
fof(f20906,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[],[f585,f249]) ).
fof(f23244,plain,
sdtasdt0(xm,sF22) = sdtsldt0(sdtasdt0(xm,xn),xr),
inference(resolution,[],[f3564,f249]) ).
fof(f23282,plain,
sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xm,sF22),
inference(forward_demodulation,[],[f23244,f20906]) ).
fof(f23299,plain,
sF23 = sdtsldt0(sdtasdt0(xn,xm),xr),
inference(forward_demodulation,[],[f23282,f4732]) ).
fof(f23347,plain,
sK16 = sF23,
inference(superposition,[],[f3649,f23299]) ).
fof(f24872,plain,
sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(xp,xk),xr),
inference(resolution,[],[f3557,f248]) ).
fof(f24917,plain,
sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(forward_demodulation,[],[f24872,f288]) ).
fof(f24940,plain,
sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xp,sK14),
inference(forward_demodulation,[],[f24917,f3650]) ).
fof(f24951,plain,
sK16 = sdtasdt0(xp,sK14),
inference(forward_demodulation,[],[f24940,f3649]) ).
fof(f24956,plain,
sF23 = sdtasdt0(xp,sK14),
inference(forward_demodulation,[],[f24951,f23347]) ).
fof(f24960,plain,
( sF23 != sF23
| ~ aNaturalNumber0(sK14) ),
inference(superposition,[],[f349,f24956]) ).
fof(f25004,plain,
~ aNaturalNumber0(sK14),
inference(trivial_inequality_removal,[],[f24960]) ).
fof(f25035,plain,
$false,
inference(forward_subsumption_resolution,[],[f25004,f301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM511+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % 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 20:19:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.41/2.36 % (3849011)Will run a generic schedule for satisfiability detection.
% 13.41/2.36 % (3849021)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1478436171:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.41/2.36 % (3849017)% WARNING: option uhcvi not known.
% 13.41/2.36 % (3849016)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=81468916_2999 on theBenchmark for (2999ds/0Mi)
% 13.41/2.36 % (3849018)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4286670736:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.41/2.36 % (3849019)dis+10_1_sil=32000:sp=arity:random_seed=2614349449:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.41/2.36 % (3849020)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3909640882:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.41/2.36 % (3849022)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=208262839:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.41/2.36 % (3849017)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1979415175:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.41/2.36 % Detected minimum model sizes of [4]
% 13.41/2.36 % Detected maximum model sizes of [max]
% 13.41/2.36 % TRYING [4]
% 13.41/2.36 % (3849021)Instruction limit reached!
% 13.41/2.36 % (3849021)------------------------------
% 13.41/2.36 % (3849021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.36 % (3849021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.36 % (3849021)CaDiCaL version: 2.1.3
% 13.41/2.36 % (3849021)Termination reason: Instruction limit
% 13.41/2.36 % (3849021)Termination phase: Saturation
% 13.41/2.36 % (3849021)Time elapsed: 0.036 s
% 13.41/2.36 % (3849021)Peak memory usage: 13 MB
% 13.41/2.36 % (3849021)Instructions burned: 133 (million)
% 13.41/2.36 % (3849030)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2152432751:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.41/2.36 % Detected minimum model sizes of [4]
% 13.41/2.36 % Detected maximum model sizes of [max]
% 13.41/2.36 % TRYING [4]
% 13.41/2.36 % TRYING [5]
% 13.41/2.36 % (3849019)Instruction limit reached!
% 13.41/2.36 % (3849019)------------------------------
% 13.41/2.36 % (3849019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.36 % (3849019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.36 % (3849019)CaDiCaL version: 2.1.3
% 13.41/2.36 % (3849019)Termination reason: Instruction limit
% 13.41/2.36 % (3849019)Termination phase: Saturation
% 13.41/2.36 % (3849019)Time elapsed: 0.058 s
% 13.41/2.36 % (3849019)Peak memory usage: 12 MB
% 13.41/2.36 % (3849019)Instructions burned: 105 (million)
% 13.41/2.36 % (3849020)Instruction limit reached!
% 13.41/2.36 % (3849020)------------------------------
% 13.41/2.36 % (3849020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.36 % (3849020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.36 % (3849020)CaDiCaL version: 2.1.3
% 13.41/2.36 % (3849020)Termination reason: Instruction limit
% 13.41/2.36 % (3849020)Termination phase: Saturation
% 13.41/2.36 % (3849020)Time elapsed: 0.063 s
% 13.41/2.36 % (3849020)Peak memory usage: 13 MB
% 13.41/2.36 % (3849020)Instructions burned: 117 (million)
% 13.41/2.36 % TRYING [5]
% 13.41/2.36 % (3849032)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=363671810:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.41/2.36 % (3849033)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3223120640:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 13.41/2.36 % (3849022)Instruction limit reached!
% 13.41/2.36 % (3849022)------------------------------
% 13.41/2.36 % (3849022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.36 % (3849022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.36 % (3849022)CaDiCaL version: 2.1.3
% 13.41/2.36 % (3849022)Termination reason: Instruction limit
% 13.41/2.36 % (3849022)Termination phase: Saturation
% 13.41/2.36 % (3849022)Time elapsed: 0.095 s
% 13.41/2.36 % (3849022)Peak memory usage: 15 MB
% 13.41/2.36 % (3849022)Instructions burned: 160 (million)
% 13.41/2.36 % TRYING [6]
% 13.41/2.36 % (3849036)ott-21_1_sil=16000:fs=off:random_seed=611051957:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.41/2.36 % TRYING [6]
% 13.41/2.36 % (3849032)Instruction limit reached!
% 13.41/2.36 % (3849032)------------------------------
% 33.96/5.26 % (3849032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.96/5.26 % (3849032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.96/5.26 % (3849032)CaDiCaL version: 2.1.3
% 33.96/5.26 % (3849032)Termination reason: Instruction limit
% 33.96/5.26 % (3849032)Termination phase: Saturation
% 33.96/5.26 % (3849032)Time elapsed: 0.063 s
% 33.96/5.26 % (3849032)Peak memory usage: 12 MB
% 33.96/5.26 % (3849032)Instructions burned: 133 (million)
% 33.96/5.26 % (3849038)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3872354620:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 33.96/5.26 % (3849030)Instruction limit reached!
% 33.96/5.26 % (3849030)------------------------------
% 33.96/5.26 % (3849030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.96/5.26 % (3849030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.96/5.26 % (3849030)CaDiCaL version: 2.1.3
% 33.96/5.26 % (3849030)Termination reason: Instruction limit
% 33.96/5.26 % (3849030)Termination phase: Finite model building constraint generation
% 33.96/5.26 % (3849030)Time elapsed: 0.137 s
% 33.96/5.26 % (3849030)Peak memory usage: 32 MB
% 33.96/5.26 % (3849030)Instructions burned: 715 (million)
% 33.96/5.26 % (3849040)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3856864178:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 33.96/5.26 % Detected minimum model sizes of [4]
% 33.96/5.26 % Detected maximum model sizes of [max]
% 33.96/5.26 % TRYING [4]
% 33.96/5.26 % (3849036)Instruction limit reached!
% 33.96/5.26 % (3849036)------------------------------
% 33.96/5.26 % (3849036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.96/5.26 % (3849036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.96/5.26 % (3849036)CaDiCaL version: 2.1.3
% 33.96/5.26 % (3849036)Termination reason: Instruction limit
% 33.96/5.26 % (3849036)Termination phase: Saturation
% 33.96/5.26 % (3849036)Time elapsed: 0.092 s
% 33.96/5.26 % (3849036)Peak memory usage: 13 MB
% 33.96/5.26 % (3849036)Instructions burned: 182 (million)
% 33.96/5.26 % (3849042)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3860165999:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 33.96/5.26 % TRYING [5]
% 33.96/5.26 % TRYING [7]
% 33.96/5.26 % (3849040)Instruction limit reached!
% 33.96/5.26 % (3849040)------------------------------
% 33.96/5.26 % (3849040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.96/5.26 % (3849040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.96/5.26 % (3849040)CaDiCaL version: 2.1.3
% 33.96/5.26 % (3849040)Termination reason: Instruction limit
% 33.96/5.26 % (3849040)Termination phase: Finite model building SAT solving
% 33.96/5.26 % (3849040)Time elapsed: 0.190 s
% 33.96/5.26 % (3849040)Peak memory usage: 24 MB
% 33.96/5.26 % (3849040)Instructions burned: 868 (million)
% 33.96/5.26 % (3849044)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1026757468:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 33.96/5.26 % (3849033)Instruction limit reached!
% 33.96/5.26 % (3849033)------------------------------
% 33.96/5.26 % (3849033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.96/5.26 % (3849033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.96/5.26 % (3849033)CaDiCaL version: 2.1.3
% 33.96/5.26 % (3849033)Termination reason: Instruction limit
% 33.96/5.26 % (3849033)Termination phase: Saturation
% 33.96/5.26 % (3849033)Time elapsed: 0.376 s
% 33.96/5.26 % (3849033)Peak memory usage: 20 MB
% 33.96/5.26 % (3849033)Instructions burned: 685 (million)
% 33.96/5.26 % (3849038)Instruction limit reached!
% 33.96/5.26 % (3849038)------------------------------
% 33.96/5.26 % (3849038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.96/5.26 % (3849038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.96/5.26 % (3849038)CaDiCaL version: 2.1.3
% 33.96/5.26 % (3849038)Termination reason: Instruction limit
% 33.96/5.26 % (3849038)Termination phase: Saturation
% 33.96/5.26 % (3849038)Time elapsed: 0.307 s
% 33.96/5.26 % (3849038)Peak memory usage: 14 MB
% 33.96/5.26 % (3849038)Instructions burned: 478 (million)
% 33.96/5.26 % (3849046)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2937502194:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 33.96/5.26 % (3849047)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4092540067:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 35.95/5.50 % TRYING [14]
% 35.95/5.50 % (3849044)Instruction limit reached!
% 35.95/5.50 % (3849044)------------------------------
% 35.95/5.50 % (3849044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.50 % (3849044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.50 % (3849044)CaDiCaL version: 2.1.3
% 35.95/5.50 % (3849044)Termination reason: Instruction limit
% 35.95/5.50 % (3849044)Termination phase: Finite model building constraint generation
% 35.95/5.50 % (3849044)Time elapsed: 0.188 s
% 35.95/5.50 % (3849044)Peak memory usage: 76 MB
% 35.95/5.50 % (3849044)Instructions burned: 891 (million)
% 35.95/5.50 % (3849050)fmb+10_1_sil=64000:random_seed=1212093415:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 35.95/5.50 % Detected minimum model sizes of [4]
% 35.95/5.50 % Detected maximum model sizes of [max]
% 35.95/5.50 % TRYING [4]
% 35.95/5.50 % TRYING [5]
% 35.95/5.50 % TRYING [8]
% 35.95/5.50 % TRYING [6]
% 35.95/5.50 % (3849046)Instruction limit reached!
% 35.95/5.50 % (3849046)------------------------------
% 35.95/5.50 % (3849046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.50 % (3849046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.50 % (3849046)CaDiCaL version: 2.1.3
% 35.95/5.50 % (3849046)Termination reason: Instruction limit
% 35.95/5.50 % (3849046)Termination phase: Saturation
% 35.95/5.50 % (3849046)Time elapsed: 0.395 s
% 35.95/5.50 % (3849046)Peak memory usage: 23 MB
% 35.95/5.50 % (3849046)Instructions burned: 693 (million)
% 35.95/5.50 % (3849052)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2805513782:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 35.95/5.50 % (3849042)Instruction limit reached!
% 35.95/5.50 % (3849042)------------------------------
% 35.95/5.50 % (3849042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.50 % (3849042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.50 % (3849042)CaDiCaL version: 2.1.3
% 35.95/5.50 % (3849042)Termination reason: Instruction limit
% 35.95/5.50 % (3849042)Termination phase: Saturation
% 35.95/5.50 % (3849042)Time elapsed: 0.669 s
% 35.95/5.50 % (3849042)Peak memory usage: 23 MB
% 35.95/5.50 % (3849042)Instructions burned: 1181 (million)
% 35.95/5.50 % Detected minimum model sizes of [4]
% 35.95/5.50 % Detected maximum model sizes of [max]
% 35.95/5.50 % TRYING [20]
% 35.95/5.50 % (3849054)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2236207426:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 35.95/5.50 % Detected minimum model sizes of [4]
% 35.95/5.50 % Detected maximum model sizes of [max]
% 35.95/5.50 % TRYING [8]
% 35.95/5.50 % (3849047)Instruction limit reached!
% 35.95/5.50 % (3849047)------------------------------
% 35.95/5.50 % (3849047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.50 % (3849047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.50 % (3849047)CaDiCaL version: 2.1.3
% 35.95/5.50 % (3849047)Termination reason: Instruction limit
% 35.95/5.50 % (3849047)Termination phase: Saturation
% 35.95/5.50 % (3849047)Time elapsed: 0.469 s
% 35.95/5.50 % (3849047)Peak memory usage: 20 MB
% 35.95/5.50 % (3849047)Instructions burned: 881 (million)
% 35.95/5.50 % (3849056)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2679407001:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 35.95/5.50 % TRYING [7]
% 35.95/5.50 % (3849054)Instruction limit reached!
% 35.95/5.50 % (3849054)------------------------------
% 35.95/5.50 % (3849054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.50 % (3849054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.50 % (3849054)CaDiCaL version: 2.1.3
% 35.95/5.50 % (3849054)Termination reason: Instruction limit
% 35.95/5.50 % (3849054)Termination phase: Finite model building constraint generation
% 35.95/5.50 % (3849054)Time elapsed: 0.338 s
% 35.95/5.50 % (3849054)Peak memory usage: 70 MB
% 35.95/5.50 % (3849054)Instructions burned: 922 (million)
% 35.95/5.50 % (3849058)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1773256224:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 35.95/5.50 % TRYING [9]
% 35.95/5.50 % (3849058)Instruction limit reached!
% 35.95/5.50 % (3849058)------------------------------
% 35.95/5.50 % (3849058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.50 % (3849058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.50 % (3849058)CaDiCaL version: 2.1.3
% 35.95/5.50 % (3849058)Termination reason: Instruction limit
% 35.95/5.50 % (3849058)Termination phase: Saturation
% 35.95/5.50 % (3849058)Time elapsed: 0.631 s
% 35.95/5.50 % (3849058)Peak memory usage: 16 MB
% 35.95/5.50 % (3849058)Instructions burned: 1473 (million)
% 35.95/5.50 % (3849060)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1399840626:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 35.95/5.50 % Detected minimum model sizes of [4]
% 35.95/5.50 % Detected maximum model sizes of [max]
% 35.95/5.50 % TRYING [77]
% 35.95/5.50 % TRYING [8]
% 35.95/5.50 % TRYING [10]
% 35.95/5.50 % (3849056)Instruction limit reached!
% 35.95/5.50 % (3849056)------------------------------
% 35.95/5.50 % (3849056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.50 % (3849056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.50 % (3849056)CaDiCaL version: 2.1.3
% 35.95/5.50 % (3849056)Termination reason: Instruction limit
% 35.95/5.50 % (3849056)Termination phase: Saturation
% 35.95/5.50 % (3849056)Time elapsed: 2.671 s
% 35.95/5.50 % (3849056)Peak memory usage: 39 MB
% 35.95/5.50 % (3849056)Instructions burned: 5132 (million)
% 35.95/5.50 % (3849062)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2201527724:fmbsr=2.30978:i=2174_2963 on theBenchmark for (2963ds/2174Mi)
% 35.95/5.50 % Detected minimum model sizes of [4]
% 35.95/5.50 % Detected maximum model sizes of [max]
% 35.95/5.50 % TRYING [16]
% 35.95/5.50 % TRYING [9]
% 35.95/5.50 % (3849052)Instruction limit reached!
% 35.95/5.50 % (3849052)------------------------------
% 35.95/5.50 % (3849052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.50 % (3849052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.50 % (3849052)CaDiCaL version: 2.1.3
% 35.95/5.50 % (3849052)Termination reason: Instruction limit
% 35.95/5.50 % (3849052)Termination phase: Finite model building constraint generation
% 35.95/5.50 % (3849052)Time elapsed: 3.275 s
% 35.95/5.50 % (3849052)Peak memory usage: 577 MB
% 35.95/5.50 % (3849052)Instructions burned: 9518 (million)
% 35.95/5.50 % (3849064)ott-2_1_sil=16000:newcnf=on:random_seed=849209049:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 35.95/5.50 % (3849060)Instruction limit reached!
% 35.95/5.50 % (3849060)------------------------------
% 35.95/5.50 % (3849060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.50 % (3849060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.50 % (3849060)CaDiCaL version: 2.1.3
% 35.95/5.50 % (3849060)Termination reason: Instruction limit
% 35.95/5.50 % (3849060)Termination phase: Finite model building constraint generation
% 35.95/5.50 % (3849060)Time elapsed: 2.336 s
% 35.95/5.50 % (3849060)Peak memory usage: 515 MB
% 35.95/5.50 % (3849060)Instructions burned: 6324 (million)
% 35.95/5.50 % (3849066)ott+10_1_sil=32000:tgt=ground:random_seed=2413368271:i=5114:av=off_2956 on theBenchmark for (2956ds/5114Mi)
% 35.95/5.50 % (3849062)Instruction limit reached!
% 35.95/5.50 % (3849062)------------------------------
% 35.95/5.50 % (3849062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.50 % (3849062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.50 % (3849062)CaDiCaL version: 2.1.3
% 35.95/5.50 % (3849062)Termination reason: Instruction limit
% 35.95/5.50 % (3849062)Termination phase: Finite model building constraint generation
% 35.95/5.50 % (3849062)Time elapsed: 0.760 s
% 35.95/5.50 % (3849062)Peak memory usage: 146 MB
% 35.95/5.50 % (3849062)Instructions burned: 2175 (million)
% 35.95/5.50 % (3849068)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1111565240:i=54282_2955 on theBenchmark for (2955ds/54282Mi)
% 35.95/5.50 % Detected minimum model sizes of [4]
% 35.95/5.50 % Detected maximum model sizes of [max]
% 35.95/5.50 % TRYING [4]
% 35.95/5.50 % TRYING [5]
% 35.95/5.50 % TRYING [6]
% 35.95/5.50 % (3849064)Instruction limit reached!
% 35.95/5.50 % (3849064)------------------------------
% 35.95/5.50 % (3849064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.50 % (3849064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.50 % (3849064)CaDiCaL version: 2.1.3
% 35.95/5.50 % (3849064)Termination reason: Instruction limit
% 35.95/5.50 % (3849064)Termination phase: Saturation
% 35.95/5.50 % (3849064)Time elapsed: 0.473 s
% 35.95/5.50 % (3849064)Peak memory usage: 22 MB
% 35.95/5.50 % (3849064)Instructions burned: 871 (million)
% 35.95/5.50 % (3849070)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3404154150:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 35.95/5.50 % TRYING [7]
% 35.95/5.50 % (3849066) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3849011-3849066"...
% 35.95/5.50 % (3849066)...printing done.
% 35.95/5.50 % (3849066)Refutation found. Thanks to Tanya!
% 35.95/5.50 % SZS status Theorem for theBenchmark
% 35.95/5.50 % SZS output start Proof for theBenchmark
% See solution above
% 35.95/5.50 % (3849066)------------------------------
% 35.95/5.50 % (3849066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.95/5.50 % (3849066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.95/5.50 % (3849066)CaDiCaL version: 2.1.3
% 35.95/5.50 % (3849066)Termination reason: Refutation
% 35.95/5.50 % (3849066)Time elapsed: 0.655 s
% 35.95/5.50 % (3849066)Peak memory usage: 21 MB
% 35.95/5.50 % (3849066)Instructions burned: 1172 (million)
% 35.95/5.50 % (3849011)Success in time 5.088 s
% 35.95/5.50 % Vampire exiting
%------------------------------------------------------------------------------