%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM474+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 : n004.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 12:15:21 PM UTC 2026
% Result : Theorem 2.84s 6.06s
% Output : Refutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 87 ( 26 unt; 0 def)
% Number of atoms : 281 ( 87 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 355 ( 161 ~; 156 |; 26 &)
% ( 6 <=>; 6 =>; 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 : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
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(f34,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,axiom,
xl != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1347) ).
fof(f37,axiom,
xp = sdtsldt0(xm,xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1360) ).
fof(f38,axiom,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1379) ).
fof(f39,axiom,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1395) ).
fof(f40,axiom,
xr = sdtmndt0(xq,xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1422) ).
fof(f41,conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f42,negated_conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f43,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(flattening,[],[f42]) ).
fof(f51,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f52,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f51]) ).
fof(f71,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(f72,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,[],[f71]) ).
fof(f84,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f86]) ).
fof(f97,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,[],[f72]) ).
fof(f98,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,[],[f97]) ).
fof(f102,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f85]) ).
fof(f103,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f105,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f106,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f107,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f108,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f109,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f110,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f111,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f112,plain,
sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f39]) ).
fof(f113,plain,
xr = sdtmndt0(xq,xp),
inference(cnf_transformation,[],[f40]) ).
fof(f114,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(cnf_transformation,[],[f43]) ).
fof(f119,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f140,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f141,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f155,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f156,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f159,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f165,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f141]) ).
fof(f166,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f140]) ).
fof(f170,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f156]) ).
fof(f171,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f265,plain,
( aNaturalNumber0(xr)
| ~ sdtlseqdt0(xp,xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[],[f170,f113]) ).
fof(f266,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[],[f265,f112]) ).
fof(f358,plain,
( aNaturalNumber0(xp)
| sz00 = xl
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f165,f110]) ).
fof(f359,plain,
( aNaturalNumber0(xq)
| sz00 = xl
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[],[f165,f111]) ).
fof(f360,plain,
( aNaturalNumber0(xq)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f359,f109]) ).
fof(f361,plain,
( aNaturalNumber0(xp)
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f358,f109]) ).
fof(f362,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f360,f107]) ).
fof(f363,plain,
( aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f361,f108]) ).
fof(f364,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[],[f362,f106]) ).
fof(f365,plain,
( aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f363,f106]) ).
fof(f366,plain,
aNaturalNumber0(xp),
inference(forward_subsumption_resolution,[],[f365,f105]) ).
fof(f367,plain,
( xq = sdtpldt0(xp,xr)
| ~ sdtlseqdt0(xp,xq)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq) ),
inference(superposition,[],[f171,f113]) ).
fof(f382,plain,
( xq = sdtpldt0(xp,xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[],[f367,f112]) ).
fof(f383,plain,
( xq = sdtpldt0(xp,xr)
| ~ aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[],[f382,f366]) ).
fof(f387,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[],[f266,f366]) ).
fof(f397,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f364,f119]) ).
fof(f402,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f397,f105]) ).
fof(f405,plain,
aNaturalNumber0(xq),
inference(forward_subsumption_resolution,[],[f402,f104]) ).
fof(f565,plain,
xq = sdtpldt0(xp,xr),
inference(forward_subsumption_resolution,[],[f383,f405]) ).
fof(f672,plain,
( xm = sdtasdt0(xl,xp)
| sz00 = xl
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f166,f110]) ).
fof(f673,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| sz00 = xl
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[],[f166,f111]) ).
fof(f693,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f673,f109]) ).
fof(f694,plain,
( xm = sdtasdt0(xl,xp)
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f672,f109]) ).
fof(f698,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f693,f107]) ).
fof(f699,plain,
( xm = sdtasdt0(xl,xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f694,f108]) ).
fof(f701,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f698,f106]) ).
fof(f702,plain,
( xm = sdtasdt0(xl,xp)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f699,f106]) ).
fof(f703,plain,
xm = sdtasdt0(xl,xp),
inference(forward_subsumption_resolution,[],[f702,f105]) ).
fof(f1101,plain,
( sdtpldt0(sdtasdt0(xl,xp),xn) != sdtasdt0(xl,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr) ),
inference(superposition,[],[f114,f159]) ).
fof(f1152,plain,
( sdtpldt0(sdtasdt0(xl,xp),xn) != sdtasdt0(xl,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr) ),
inference(forward_subsumption_resolution,[],[f1101,f106]) ).
fof(f1186,plain,
( sdtpldt0(sdtasdt0(xl,xp),xn) != sdtasdt0(xl,sdtpldt0(xp,xr))
| ~ aNaturalNumber0(xr) ),
inference(forward_subsumption_resolution,[],[f1152,f366]) ).
fof(f1194,plain,
( sdtpldt0(sdtasdt0(xl,xp),xn) != sdtasdt0(xl,xq)
| ~ aNaturalNumber0(xr) ),
inference(forward_demodulation,[],[f1186,f565]) ).
fof(f1196,plain,
( sdtpldt0(xm,xn) != sdtasdt0(xl,xq)
| ~ aNaturalNumber0(xr) ),
inference(forward_demodulation,[],[f1194,f703]) ).
fof(f1456,plain,
( sdtpldt0(xm,xn) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[],[f1196,f701]) ).
fof(f1478,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xr) ),
inference(trivial_inequality_removal,[],[f1456]) ).
fof(f1524,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f1478,f119]) ).
fof(f1529,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1524,f105]) ).
fof(f1532,plain,
~ aNaturalNumber0(xr),
inference(forward_subsumption_resolution,[],[f1529,f104]) ).
fof(f1599,plain,
~ aNaturalNumber0(xq),
inference(resolution,[],[f1532,f387]) ).
fof(f1600,plain,
$false,
inference(forward_subsumption_resolution,[],[f1599,f405]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM474+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n004.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sun Sep 27 20:05:14 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 2.84/6.06 % (3845434)Detected formulas, will run a generic FOF schedule.
% 2.84/6.06 % (3845464)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=1631019882:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.84/6.06 % (3845468)dis-21_1_sil=8000:lcm=predicate:random_seed=2846638645: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)
% 2.84/6.06 % (3845462)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=288186844:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.84/6.06 % (3845467)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1925484871:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.84/6.06 % (3845463)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=2231302754:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.84/6.06 % (3845465)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2892467505:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.84/6.06 % (3845466)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1810637247:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.84/6.06 % (3845466)First to succeed.
% 2.84/6.06 % (3845466)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3845434"
% 2.84/6.06 % (3845465)Instruction limit reached!
% 2.84/6.06 % (3845465)------------------------------
% 2.84/6.06 % (3845465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/6.06 % (3845465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/6.06 % (3845465)CaDiCaL version: 2.1.3
% 2.84/6.06 % (3845465)Termination reason: Instruction limit
% 2.84/6.06 % (3845465)Termination phase: Saturation
% 2.84/6.06 % (3845465)Time elapsed: 0.061 s
% 2.84/6.06 % (3845465)Peak memory usage: 89 MB
% 2.84/6.06 % (3845465)Instructions burned: 110 (million)
% 2.84/6.06 % (3845468)Instruction limit reached!
% 2.84/6.06 % (3845468)------------------------------
% 2.84/6.06 % (3845468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/6.06 % (3845468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/6.06 % (3845468)CaDiCaL version: 2.1.3
% 2.84/6.06 % (3845468)Termination reason: Instruction limit
% 2.84/6.06 % (3845468)Termination phase: Saturation
% 2.84/6.06 % (3845468)Time elapsed: 0.077 s
% 2.84/6.06 % (3845468)Peak memory usage: 90 MB
% 2.84/6.06 % (3845468)Instructions burned: 130 (million)
% 2.84/6.06 % (3845467)Instruction limit reached!
% 2.84/6.06 % (3845467)------------------------------
% 2.84/6.06 % (3845467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/6.06 % (3845467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/6.06 % (3845467)CaDiCaL version: 2.1.3
% 2.84/6.06 % (3845467)Termination reason: Instruction limit
% 2.84/6.06 % (3845467)Termination phase: Saturation
% 2.84/6.06 % (3845467)Time elapsed: 0.086 s
% 2.84/6.06 % (3845467)Peak memory usage: 90 MB
% 2.84/6.06 % (3845467)Instructions burned: 139 (million)
% 2.84/6.06 % (3845476)lrs+10_1_sil=8000:sp=occurrence:random_seed=2069500295:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.84/6.06 % (3845477)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1844742087:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.84/6.06 % (3845466)Refutation found. Thanks to Tanya!
% 2.84/6.06 % SZS status Theorem for theBenchmark
% 2.84/6.06 % SZS output start Proof for theBenchmark
% See solution above
% 3.10/6.16 % (3845466)------------------------------
% 3.10/6.16 % (3845466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/6.16 % (3845466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/6.16 % (3845466)CaDiCaL version: 2.1.3
% 3.10/6.16 % (3845466)Termination reason: Refutation
% 3.10/6.16 % (3845466)Time elapsed: 0.028 s
% 3.10/6.16 % (3845466)Peak memory usage: 88 MB
% 3.10/6.16 % (3845466)Instructions burned: 47 (million)
% 3.10/6.16 % (3845466)------------------------------
% 3.10/6.16 % (3845466)------------------------------
% 3.10/6.16 % (3845434)Success in time 0.406 s
% 3.10/6.16 % Vampire exiting
%------------------------------------------------------------------------------