%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM473+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 12:24:26 PM UTC 2026
% Result : Theorem 7.15s 1.47s
% Output : Refutation 7.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 137 ( 31 unt; 7 def)
% Number of atoms : 446 ( 111 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 544 ( 235 ~; 255 |; 31 &)
% ( 10 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
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/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f34,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,axiom,
xl != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1347) ).
fof(f37,axiom,
xp = sdtsldt0(xm,xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
fof(f38,axiom,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).
fof(f39,axiom,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1409) ).
fof(f40,conjecture,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f41,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f42,plain,
~ sdtlseqdt0(xp,xq),
inference(flattening,[],[f41]) ).
fof(f44,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f45,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f44]) ).
fof(f63,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f64,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f63]) ).
fof(f73,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f74,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f75,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f74]) ).
fof(f78,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f79,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f78]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f82]) ).
fof(f94,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(f95,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,[],[f94]) ).
fof(f103,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f120,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f64]) ).
fof(f130,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f131,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f133,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f141,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f95]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f95]) ).
fof(f154,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f155,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f156,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f157,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f158,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f159,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f160,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f161,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f162,plain,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f39]) ).
fof(f163,plain,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f42]) ).
fof(f171,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f150]) ).
fof(f172,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f149]) ).
fof(f224,plain,
( ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| sdtlseqdt0(xq,xp) ),
inference(resolution,[],[f133,f163]) ).
fof(f226,definition,
( spl2_1
<=> sdtlseqdt0(xq,xp) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f228,plain,
( sdtlseqdt0(xq,xp)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl2_2
<=> aNaturalNumber0(xp) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f231,plain,
( aNaturalNumber0(xp)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( ~ aNaturalNumber0(xp)
| spl2_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl2_3
<=> aNaturalNumber0(xq) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f235,plain,
( aNaturalNumber0(xq)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( ~ aNaturalNumber0(xq)
| spl2_3 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f237,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f224,f234,f230,f226]) ).
fof(f473,plain,
( aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,xm)
| sz00 = xl
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f171,f160]) ).
fof(f474,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[],[f171,f161]) ).
fof(f475,plain,
( aNaturalNumber0(xq)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f474,f156]) ).
fof(f476,plain,
( ~ aNaturalNumber0(xl)
| ~ doDivides0(xl,xm)
| sz00 = xl
| ~ aNaturalNumber0(xm)
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f473,f232]) ).
fof(f477,plain,
( aNaturalNumber0(xq)
| sz00 = xl
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f475,f157]) ).
fof(f478,plain,
( ~ doDivides0(xl,xm)
| sz00 = xl
| ~ aNaturalNumber0(xm)
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f476,f156]) ).
fof(f479,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f477,f159]) ).
fof(f480,plain,
( sz00 = xl
| ~ aNaturalNumber0(xm)
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f478,f158]) ).
fof(f481,plain,
( ~ aNaturalNumber0(xm)
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f480,f159]) ).
fof(f482,plain,
( $false
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f481,f155]) ).
fof(f483,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f742,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| sz00 = xl
| xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(resolution,[],[f172,f158]) ).
fof(f743,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sz00 = xl
| sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) ),
inference(resolution,[],[f172,f157]) ).
fof(f757,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sz00 = xl
| sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) ),
inference(forward_subsumption_resolution,[],[f743,f156]) ).
fof(f758,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xl
| xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[],[f742,f156]) ).
fof(f764,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) ),
inference(forward_subsumption_resolution,[],[f757,f159]) ).
fof(f765,plain,
( sz00 = xl
| xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[],[f758,f155]) ).
fof(f767,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_demodulation,[],[f764,f161]) ).
fof(f768,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(forward_subsumption_resolution,[],[f765,f159]) ).
fof(f770,plain,
xm = sdtasdt0(xl,xp),
inference(forward_demodulation,[],[f768,f160]) ).
fof(f1563,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| sz00 = xl
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| xp = X0 ),
inference(superposition,[],[f120,f770]) ).
fof(f1568,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = xl
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f141,f770]) ).
fof(f1572,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = xl
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f1568,f156]) ).
fof(f1577,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| xp = X0 ),
inference(forward_subsumption_resolution,[],[f1563,f159]) ).
fof(f1582,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| xp = X0
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f1572,f159]) ).
fof(f1587,plain,
( ! [X0] :
( xm != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| xp = X0 )
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f1577,f231]) ).
fof(f1591,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,xp)
| xp = X0 )
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f1582,f231]) ).
fof(f1594,plain,
( ! [X0] :
( xm != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0)
| xp = X0 )
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f1587,f156]) ).
fof(f1817,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f479,f236]) ).
fof(f1818,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl2_3 ),
inference(resolution,[],[f1817,f103]) ).
fof(f1819,plain,
( ~ aNaturalNumber0(xn)
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f1818,f155]) ).
fof(f1820,plain,
( $false
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f1819,f154]) ).
fof(f1821,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f1820]) ).
fof(f2675,definition,
( spl2_12
<=> aNaturalNumber0(sdtpldt0(xm,xn)) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f2676,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f2675]) ).
fof(f2677,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| spl2_12 ),
inference(avatar_component_clause,[],[f2675]) ).
fof(f2683,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl2_12 ),
inference(resolution,[],[f2677,f103]) ).
fof(f2684,plain,
( ~ aNaturalNumber0(xn)
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f2683,f155]) ).
fof(f2685,plain,
( $false
| spl2_12 ),
inference(forward_subsumption_resolution,[],[f2684,f154]) ).
fof(f2686,plain,
spl2_12,
inference(avatar_contradiction_clause,[],[f2685]) ).
fof(f2739,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f767,f2676]) ).
fof(f27126,plain,
( xm != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(xq)
| xp = xq
| ~ spl2_2
| ~ spl2_12 ),
inference(superposition,[],[f1594,f2739]) ).
fof(f27130,plain,
( xm != sdtpldt0(xm,xn)
| xp = xq
| ~ spl2_2
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f27126,f235]) ).
fof(f31564,definition,
( spl2_19
<=> xp = xq ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
fof(f31566,plain,
( xp = xq
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f31564]) ).
fof(f31568,definition,
( spl2_20
<=> xm = sdtpldt0(xm,xn) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
fof(f31570,plain,
( xm != sdtpldt0(xm,xn)
| spl2_20 ),
inference(avatar_component_clause,[],[f31568]) ).
fof(f31571,plain,
( spl2_19
| ~ spl2_20
| ~ spl2_2
| ~ spl2_3
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f27130,f2675,f234,f230,f31568,f31564]) ).
fof(f38449,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ aNaturalNumber0(xq)
| ~ sdtlseqdt0(xq,xp)
| xp = xq
| ~ spl2_2
| ~ spl2_12 ),
inference(superposition,[],[f1591,f2739]) ).
fof(f38452,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ sdtlseqdt0(xq,xp)
| xp = xq
| ~ spl2_2
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f38449,f235]) ).
fof(f38520,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| xp = xq
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f38452,f228]) ).
fof(f38533,definition,
( spl2_29
<=> sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
fof(f38535,plain,
( sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f38533]) ).
fof(f38536,plain,
( spl2_19
| spl2_29
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f38520,f2675,f234,f230,f226,f38533,f31564]) ).
fof(f38676,plain,
( ~ sdtlseqdt0(xp,xp)
| ~ spl2_19 ),
inference(superposition,[],[f163,f31566]) ).
fof(f38855,plain,
( ~ aNaturalNumber0(xp)
| ~ spl2_19 ),
inference(resolution,[],[f38676,f130]) ).
fof(f38865,plain,
( $false
| ~ spl2_2
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f38855,f231]) ).
fof(f38866,plain,
( ~ spl2_2
| ~ spl2_19 ),
inference(avatar_contradiction_clause,[],[f38865]) ).
fof(f39009,plain,
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| xm = sdtpldt0(xm,xn)
| ~ spl2_29 ),
inference(resolution,[],[f38535,f131]) ).
fof(f39141,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| xm = sdtpldt0(xm,xn)
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f39009,f162]) ).
fof(f39208,plain,
( ~ aNaturalNumber0(xm)
| xm = sdtpldt0(xm,xn)
| ~ spl2_12
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f39141,f2676]) ).
fof(f39220,plain,
( xm = sdtpldt0(xm,xn)
| ~ spl2_12
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f39208,f155]) ).
fof(f39223,plain,
( $false
| ~ spl2_12
| spl2_20
| ~ spl2_29 ),
inference(forward_subsumption_resolution,[],[f39220,f31570]) ).
fof(f39224,plain,
( ~ spl2_12
| spl2_20
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f39223]) ).
cnf(s1,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f237]) ).
cnf(s2,plain,
spl2_2,
inference(sat_conversion,[],[f483]) ).
cnf(s6,plain,
spl2_3,
inference(sat_conversion,[],[f1821]) ).
cnf(s10,plain,
spl2_12,
inference(sat_conversion,[],[f2686]) ).
cnf(s16,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_12
| spl2_19
| ~ spl2_20 ),
inference(sat_conversion,[],[f31571]) ).
cnf(s25,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_12
| spl2_19
| spl2_29 ),
inference(sat_conversion,[],[f38536]) ).
cnf(s28,plain,
( ~ spl2_2
| ~ spl2_19 ),
inference(sat_conversion,[],[f38866]) ).
cnf(s30,plain,
( ~ spl2_12
| spl2_20
| ~ spl2_29 ),
inference(sat_conversion,[],[f39224]) ).
cnf(s33,plain,
~ spl2_19,
inference(rat,[],[s28,s2]) ).
cnf(s36,plain,
~ spl2_20,
inference(rat,[],[s16,s2,s6,s10,s33]) ).
cnf(s38,plain,
~ spl2_29,
inference(rat,[],[s30,s10,s36]) ).
cnf(s39,plain,
~ spl2_1,
inference(rat,[],[s25,s2,s33,s10,s6,s38]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s1,s6,s2,s39]) ).
fof(f39225,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM473+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 20:04:34 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.04/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.15/1.47 % (2699524)Will run a generic schedule for satisfiability detection.
% 7.15/1.47 % (2699530)% WARNING: option uhcvi not known.
% 7.15/1.47 % (2699530)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1774019140:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.15/1.47 % (2699529)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2760734855_2999 on theBenchmark for (2999ds/0Mi)
% 7.15/1.47 % (2699532)dis+10_1_sil=32000:sp=arity:random_seed=1995264548:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.15/1.47 % (2699531)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=36458426:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.15/1.47 % (2699533)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=481195479:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.15/1.47 % (2699534)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1073589545:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.15/1.47 % (2699535)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1043054845:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.15/1.47 % TRYING [1]
% 7.15/1.47 % TRYING [2]
% 7.15/1.47 % TRYING [3]
% 7.15/1.47 % TRYING [4]
% 7.15/1.47 % TRYING [5]
% 7.15/1.47 % (2699532)Instruction limit reached!
% 7.15/1.47 % (2699532)------------------------------
% 7.15/1.47 % (2699532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699532)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699532)Termination reason: Instruction limit
% 7.15/1.47 % (2699532)Termination phase: Saturation
% 7.15/1.47 % (2699532)Time elapsed: 0.033 s
% 7.15/1.47 % (2699532)Peak memory usage: 12 MB
% 7.15/1.47 % (2699532)Instructions burned: 105 (million)
% 7.15/1.47 % (2699533)Instruction limit reached!
% 7.15/1.47 % (2699533)------------------------------
% 7.15/1.47 % (2699533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699533)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699533)Termination reason: Instruction limit
% 7.15/1.47 % (2699533)Termination phase: Saturation
% 7.15/1.47 % (2699533)Time elapsed: 0.038 s
% 7.15/1.47 % (2699533)Peak memory usage: 13 MB
% 7.15/1.47 % (2699533)Instructions burned: 118 (million)
% 7.15/1.47 % (2699534)Instruction limit reached!
% 7.15/1.47 % (2699534)------------------------------
% 7.15/1.47 % (2699534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699534)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699534)Termination reason: Instruction limit
% 7.15/1.47 % (2699534)Termination phase: Saturation
% 7.15/1.47 % (2699534)Time elapsed: 0.043 s
% 7.15/1.47 % (2699534)Peak memory usage: 13 MB
% 7.15/1.47 % (2699534)Instructions burned: 133 (million)
% 7.15/1.47 % (2699543)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2321247595:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.15/1.47 % TRYING [1]
% 7.15/1.47 % TRYING [2]
% 7.15/1.47 % (2699544)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2107974516:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.15/1.47 % TRYING [3]
% 7.15/1.47 % TRYING [4]
% 7.15/1.47 % (2699545)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=83917949:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.15/1.47 % (2699535)Instruction limit reached!
% 7.15/1.47 % (2699535)------------------------------
% 7.15/1.47 % (2699535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699535)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699535)Termination reason: Instruction limit
% 7.15/1.47 % (2699535)Termination phase: Saturation
% 7.15/1.47 % (2699535)Time elapsed: 0.056 s
% 7.15/1.47 % (2699535)Peak memory usage: 15 MB
% 7.15/1.47 % (2699535)Instructions burned: 160 (million)
% 7.15/1.47 % TRYING [6]
% 7.15/1.47 % TRYING [5]
% 7.15/1.47 % (2699549)ott-21_1_sil=16000:fs=off:random_seed=1598869285:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 7.15/1.47 % (2699544)Instruction limit reached!
% 7.15/1.47 % (2699544)------------------------------
% 7.15/1.47 % (2699544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699544)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699544)Termination reason: Instruction limit
% 7.15/1.47 % (2699544)Termination phase: Saturation
% 7.15/1.47 % (2699544)Time elapsed: 0.034 s
% 7.15/1.47 % (2699544)Peak memory usage: 12 MB
% 7.15/1.47 % (2699544)Instructions burned: 131 (million)
% 7.15/1.47 % (2699551)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1999829394:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.15/1.47 % TRYING [6]
% 7.15/1.47 % (2699549)Instruction limit reached!
% 7.15/1.47 % (2699549)------------------------------
% 7.15/1.47 % (2699549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699549)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699549)Termination reason: Instruction limit
% 7.15/1.47 % (2699549)Termination phase: Saturation
% 7.15/1.47 % (2699549)Time elapsed: 0.050 s
% 7.15/1.47 % (2699549)Peak memory usage: 13 MB
% 7.15/1.47 % (2699549)Instructions burned: 184 (million)
% 7.15/1.47 % (2699553)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4049441101:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.15/1.47 % TRYING [1]
% 7.15/1.47 % TRYING [2]
% 7.15/1.47 % TRYING [3]
% 7.15/1.47 % TRYING [4]
% 7.15/1.47 % TRYING [7]
% 7.15/1.47 % TRYING [5]
% 7.15/1.47 % (2699543)Instruction limit reached!
% 7.15/1.47 % (2699543)------------------------------
% 7.15/1.47 % (2699543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699543)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699543)Termination reason: Instruction limit
% 7.15/1.47 % (2699543)Termination phase: Finite model building SAT solving
% 7.15/1.47 % (2699543)Time elapsed: 0.156 s
% 7.15/1.47 % (2699543)Peak memory usage: 33 MB
% 7.15/1.47 % (2699543)Instructions burned: 715 (million)
% 7.15/1.47 % (2699555)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3179189286:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.15/1.47 % (2699545)Instruction limit reached!
% 7.15/1.47 % (2699545)------------------------------
% 7.15/1.47 % (2699545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699545)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699545)Termination reason: Instruction limit
% 7.15/1.47 % (2699545)Termination phase: Saturation
% 7.15/1.47 % (2699545)Time elapsed: 0.203 s
% 7.15/1.47 % (2699545)Peak memory usage: 18 MB
% 7.15/1.47 % (2699545)Instructions burned: 687 (million)
% 7.15/1.47 % (2699551)Instruction limit reached!
% 7.15/1.47 % (2699551)------------------------------
% 7.15/1.47 % (2699551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699551)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699551)Termination reason: Instruction limit
% 7.15/1.47 % (2699551)Termination phase: Saturation
% 7.15/1.47 % (2699551)Time elapsed: 0.170 s
% 7.15/1.47 % (2699551)Peak memory usage: 15 MB
% 7.15/1.47 % (2699551)Instructions burned: 479 (million)
% 7.15/1.47 % (2699557)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=566205550:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 7.15/1.47 % (2699558)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=1138231934:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 7.15/1.47 % TRYING [6]
% 7.15/1.47 % (2699553)Instruction limit reached!
% 7.15/1.47 % (2699553)------------------------------
% 7.15/1.47 % (2699553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699553)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699553)Termination reason: Instruction limit
% 7.15/1.47 % (2699553)Termination phase: Finite model building constraint generation
% 7.15/1.47 % (2699553)Time elapsed: 0.186 s
% 7.15/1.47 % (2699553)Peak memory usage: 21 MB
% 7.15/1.47 % (2699553)Instructions burned: 867 (million)
% 7.15/1.47 % (2699561)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3875896943:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 7.15/1.47 % TRYING [14]
% 7.15/1.47 % TRYING [8]
% 7.15/1.47 % (2699557)Instruction limit reached!
% 7.15/1.47 % (2699557)------------------------------
% 7.15/1.47 % (2699557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699557)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699557)Termination reason: Instruction limit
% 7.15/1.47 % (2699557)Termination phase: Finite model building constraint generation
% 7.15/1.47 % (2699557)Time elapsed: 0.184 s
% 7.15/1.47 % (2699557)Peak memory usage: 73 MB
% 7.15/1.47 % (2699557)Instructions burned: 891 (million)
% 7.15/1.47 % (2699563)fmb+10_1_sil=64000:random_seed=1028445942:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 7.15/1.47 % TRYING [1]
% 7.15/1.47 % TRYING [2]
% 7.15/1.47 % TRYING [3]
% 7.15/1.47 % TRYING [4]
% 7.15/1.47 % (2699558)Instruction limit reached!
% 7.15/1.47 % (2699558)------------------------------
% 7.15/1.47 % (2699558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699558)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699558)Termination reason: Instruction limit
% 7.15/1.47 % (2699558)Termination phase: Saturation
% 7.15/1.47 % (2699558)Time elapsed: 0.208 s
% 7.15/1.47 % (2699558)Peak memory usage: 20 MB
% 7.15/1.47 % (2699558)Instructions burned: 694 (million)
% 7.15/1.47 % (2699565)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4213530254:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 7.15/1.47 % TRYING [20]
% 7.15/1.47 % TRYING [5]
% 7.15/1.47 % (2699555)Instruction limit reached!
% 7.15/1.47 % (2699555)------------------------------
% 7.15/1.47 % (2699555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699555)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699555)Termination reason: Instruction limit
% 7.15/1.47 % (2699555)Termination phase: Saturation
% 7.15/1.47 % (2699555)Time elapsed: 0.345 s
% 7.15/1.47 % (2699555)Peak memory usage: 22 MB
% 7.15/1.47 % (2699555)Instructions burned: 1179 (million)
% 7.15/1.47 % (2699567)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2419422803:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 7.15/1.47 % TRYING [8]
% 7.15/1.47 % (2699561)Instruction limit reached!
% 7.15/1.47 % (2699561)------------------------------
% 7.15/1.47 % (2699561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699561)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699561)Termination reason: Instruction limit
% 7.15/1.47 % (2699561)Termination phase: Saturation
% 7.15/1.47 % (2699561)Time elapsed: 0.269 s
% 7.15/1.47 % (2699561)Peak memory usage: 20 MB
% 7.15/1.47 % (2699561)Instructions burned: 881 (million)
% 7.15/1.47 % (2699569)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3163437949:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 7.15/1.47 % TRYING [6]
% 7.15/1.47 % (2699567)Instruction limit reached!
% 7.15/1.47 % (2699567)------------------------------
% 7.15/1.47 % (2699567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699567)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699567)Termination reason: Instruction limit
% 7.15/1.47 % (2699567)Termination phase: Finite model building constraint generation
% 7.15/1.47 % (2699567)Time elapsed: 0.190 s
% 7.15/1.47 % (2699567)Peak memory usage: 66 MB
% 7.15/1.47 % (2699567)Instructions burned: 922 (million)
% 7.15/1.47 % (2699571)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2840379637:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 7.15/1.47 % TRYING [9]
% 7.15/1.47 % TRYING [7]
% 7.15/1.47 % (2699569) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2699524-2699569"...
% 7.15/1.47 % (2699569)...printing done.
% 7.15/1.47 % (2699569)Refutation found. Thanks to Tanya!
% 7.15/1.47 % SZS status Theorem for theBenchmark
% 7.15/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 7.15/1.47 % (2699569)------------------------------
% 7.15/1.47 % (2699569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.15/1.47 % (2699569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.15/1.47 % (2699569)CaDiCaL version: 2.1.3
% 7.15/1.47 % (2699569)Termination reason: Refutation
% 7.15/1.47 % (2699569)Time elapsed: 0.484 s
% 7.15/1.47 % (2699569)Peak memory usage: 25 MB
% 7.15/1.47 % (2699569)Instructions burned: 1716 (million)
% 7.15/1.47 % (2699524)Success in time 1.146 s
% 7.15/1.47 % Vampire exiting
%------------------------------------------------------------------------------