%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM483+1 : 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 : n009.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 12:24:29 PM UTC 2026
% Result : Theorem 8.16s 1.85s
% Output : Refutation 8.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of formulae : 143 ( 23 unt; 5 def)
% Number of atoms : 499 ( 114 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 618 ( 262 ~; 294 |; 37 &)
% ( 11 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 97 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X1,X2) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).
fof(f35,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X0,X1)
& X1 != sz00 )
=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivLE) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f38,axiom,
aNaturalNumber0(xk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1716) ).
fof(f39,axiom,
! [X0] :
( ( aNaturalNumber0(X0)
& X0 != sz00
& X0 != sz10 )
=> ( iLess0(X0,xk)
=> ? [X1] :
( aNaturalNumber0(X1)
& doDivides0(X1,X0)
& isPrime0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1700) ).
fof(f40,axiom,
( xk != sz00
& xk != sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1716_04) ).
fof(f41,axiom,
~ isPrime0(xk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1725) ).
fof(f42,conjecture,
? [X0] :
( aNaturalNumber0(X0)
& doDivides0(X0,xk)
& isPrime0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f43,negated_conjecture,
~ ? [X0] :
( aNaturalNumber0(X0)
& doDivides0(X0,xk)
& isPrime0(X0) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f47,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f47]) ).
fof(f58,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f59,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f91,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f92,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f94,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f93]) ).
fof(f97,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f98,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f97]) ).
fof(f103,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f104,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ doDivides0(X0,X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f103]) ).
fof(f107,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f108,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ? [X1] :
( aNaturalNumber0(X1)
& doDivides0(X1,X0)
& isPrime0(X1) )
| ~ iLess0(X0,xk)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0 ),
inference(ennf_transformation,[],[f39]) ).
fof(f110,plain,
! [X0] :
( ? [X1] :
( aNaturalNumber0(X1)
& doDivides0(X1,X0)
& isPrime0(X1) )
| ~ iLess0(X0,xk)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0 ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,xk)
| ~ isPrime0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f112,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f114,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f124,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f125,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f157,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f158,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sK1(X0,X1)) = X1
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f159,plain,
! [X0,X1] :
( aNaturalNumber0(sK1(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f164,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f167,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f169,plain,
! [X0] :
( isPrime0(X0)
| doDivides0(sK2(X0),X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f170,plain,
! [X0] :
( aNaturalNumber0(sK2(X0))
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f171,plain,
! [X0] :
( isPrime0(X0)
| sK2(X0) != X0
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f172,plain,
! [X0] :
( sz10 != sK2(X0)
| ~ aNaturalNumber0(X0)
| sz10 = X0
| sz00 = X0
| isPrime0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f176,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f38]) ).
fof(f177,plain,
! [X0] :
( isPrime0(sK3(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| sz10 = X0 ),
inference(cnf_transformation,[],[f110]) ).
fof(f178,plain,
! [X0] :
( doDivides0(sK3(X0),X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| sz10 = X0 ),
inference(cnf_transformation,[],[f110]) ).
fof(f179,plain,
! [X0] :
( aNaturalNumber0(sK3(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ iLess0(X0,xk)
| sz10 = X0 ),
inference(cnf_transformation,[],[f110]) ).
fof(f180,plain,
sz10 != xk,
inference(cnf_transformation,[],[f40]) ).
fof(f181,plain,
sz00 != xk,
inference(cnf_transformation,[],[f40]) ).
fof(f182,plain,
~ isPrime0(xk),
inference(cnf_transformation,[],[f41]) ).
fof(f183,plain,
! [X0] :
( ~ doDivides0(X0,xk)
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f189,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f160]) ).
fof(f207,plain,
xk = sdtasdt0(xk,sz10),
inference(resolution,[],[f124,f176]) ).
fof(f281,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,sK1(X0,X1)) ),
inference(resolution,[],[f159,f125]) ).
fof(f358,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f189,f116]) ).
fof(f363,plain,
( doDivides0(xk,xk)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xk) ),
inference(superposition,[],[f358,f207]) ).
fof(f375,plain,
( doDivides0(xk,xk)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f363,f114]) ).
fof(f383,plain,
doDivides0(xk,xk),
inference(forward_subsumption_resolution,[],[f375,f176]) ).
fof(f442,plain,
( doDivides0(sK2(xk),xk)
| sz10 = xk
| sz00 = xk
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f169,f182]) ).
fof(f445,plain,
( doDivides0(sK2(xk),xk)
| sz00 = xk
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f442,f180]) ).
fof(f446,plain,
( doDivides0(sK2(xk),xk)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f445,f181]) ).
fof(f447,plain,
doDivides0(sK2(xk),xk),
inference(forward_subsumption_resolution,[],[f446,f176]) ).
fof(f448,plain,
( xk != sK2(xk)
| sz10 = xk
| sz00 = xk
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f171,f182]) ).
fof(f451,plain,
( xk != sK2(xk)
| sz00 = xk
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f448,f180]) ).
fof(f452,plain,
( xk != sK2(xk)
| ~ aNaturalNumber0(xk) ),
inference(forward_subsumption_resolution,[],[f451,f181]) ).
fof(f453,plain,
xk != sK2(xk),
inference(forward_subsumption_resolution,[],[f452,f176]) ).
fof(f521,definition,
( spl4_1
<=> aNaturalNumber0(sK2(xk)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f522,plain,
( aNaturalNumber0(sK2(xk))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f523,plain,
( ~ aNaturalNumber0(sK2(xk))
| spl4_1 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f537,plain,
( ~ aNaturalNumber0(xk)
| sz10 = xk
| sz00 = xk
| isPrime0(xk)
| spl4_1 ),
inference(resolution,[],[f523,f170]) ).
fof(f538,plain,
( sz10 = xk
| sz00 = xk
| isPrime0(xk)
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f537,f176]) ).
fof(f539,plain,
( sz00 = xk
| isPrime0(xk)
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f538,f180]) ).
fof(f540,plain,
( isPrime0(xk)
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f539,f181]) ).
fof(f541,plain,
( $false
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f540,f182]) ).
fof(f542,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f543,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(xk)
| ~ isPrime0(X1)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f164,f183]) ).
fof(f545,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X2
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X1,X2) ),
inference(resolution,[],[f164,f167]) ).
fof(f546,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,X2)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X2)
| sz00 = X2
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f545]) ).
fof(f548,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X0,xk)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(xk)
| ~ isPrime0(X1) ),
inference(duplicate_literal_removal,[],[f543]) ).
fof(f549,plain,
! [X0,X1] :
( ~ doDivides0(X0,xk)
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ isPrime0(X1) ),
inference(forward_subsumption_resolution,[],[f548,f176]) ).
fof(f1074,definition,
( spl4_3
<=> sz00 = sK2(xk) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f1075,plain,
( sz00 != sK2(xk)
| spl4_3 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1076,plain,
( sz00 = sK2(xk)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1696,plain,
! [X0] :
( ~ doDivides0(X0,sK2(xk))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK2(xk))
| ~ isPrime0(X0) ),
inference(resolution,[],[f549,f447]) ).
fof(f1719,plain,
( ! [X0] :
( ~ doDivides0(X0,sK2(xk))
| ~ aNaturalNumber0(X0)
| ~ isPrime0(X0) )
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f1696,f522]) ).
fof(f1731,plain,
( ~ aNaturalNumber0(sK3(sK2(xk)))
| ~ isPrime0(sK3(sK2(xk)))
| sz00 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| ~ iLess0(sK2(xk),xk)
| sz10 = sK2(xk)
| ~ spl4_1 ),
inference(resolution,[],[f1719,f178]) ).
fof(f1733,plain,
( ~ isPrime0(sK3(sK2(xk)))
| sz00 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| ~ iLess0(sK2(xk),xk)
| sz10 = sK2(xk)
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f1731,f179]) ).
fof(f1735,plain,
( sz00 = sK2(xk)
| ~ aNaturalNumber0(sK2(xk))
| ~ iLess0(sK2(xk),xk)
| sz10 = sK2(xk)
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f1733,f177]) ).
fof(f1736,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ iLess0(sK2(xk),xk)
| sz10 = sK2(xk)
| ~ spl4_1
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f1735,f1075]) ).
fof(f1737,plain,
( ~ iLess0(sK2(xk),xk)
| sz10 = sK2(xk)
| ~ spl4_1
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f1736,f522]) ).
fof(f1753,definition,
( spl4_6
<=> sz10 = sK2(xk) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f1755,plain,
( sz10 = sK2(xk)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1757,definition,
( spl4_7
<=> iLess0(sK2(xk),xk) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f1759,plain,
( ~ iLess0(sK2(xk),xk)
| spl4_7 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1760,plain,
( spl4_6
| ~ spl4_7
| ~ spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f1737,f1074,f521,f1757,f1753]) ).
fof(f1761,plain,
( ~ aNaturalNumber0(sK2(xk))
| ~ sdtlseqdt0(sK2(xk),xk)
| xk = sK2(xk)
| ~ aNaturalNumber0(xk)
| spl4_7 ),
inference(resolution,[],[f1759,f157]) ).
fof(f1762,plain,
( ~ sdtlseqdt0(sK2(xk),xk)
| xk = sK2(xk)
| ~ aNaturalNumber0(xk)
| ~ spl4_1
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f1761,f522]) ).
fof(f1763,plain,
( ~ sdtlseqdt0(sK2(xk),xk)
| ~ aNaturalNumber0(xk)
| ~ spl4_1
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f1762,f453]) ).
fof(f1764,plain,
( ~ sdtlseqdt0(sK2(xk),xk)
| ~ spl4_1
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f1763,f176]) ).
fof(f4414,definition,
( spl4_11
<=> doDivides0(sz00,xk) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f4415,plain,
( doDivides0(sz00,xk)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f4414]) ).
fof(f5713,plain,
( doDivides0(sz00,xk)
| ~ spl4_3 ),
inference(superposition,[],[f447,f1076]) ).
fof(f7252,plain,
( spl4_11
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f5713,f1074,f4414]) ).
fof(f7294,plain,
( ~ aNaturalNumber0(sz00)
| xk = sdtasdt0(sz00,sK1(sz00,xk))
| ~ aNaturalNumber0(xk)
| ~ spl4_11 ),
inference(resolution,[],[f4415,f158]) ).
fof(f7303,plain,
( ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(sz00)
| sz00 = sdtasdt0(sz00,sK1(sz00,xk))
| ~ spl4_11 ),
inference(resolution,[],[f4415,f281]) ).
fof(f7308,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = sdtasdt0(sz00,sK1(sz00,xk))
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f7303,f176]) ).
fof(f7313,plain,
( xk = sdtasdt0(sz00,sK1(sz00,xk))
| ~ aNaturalNumber0(xk)
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f7294,f112]) ).
fof(f7316,plain,
( sz00 = sdtasdt0(sz00,sK1(sz00,xk))
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f7308,f112]) ).
fof(f7321,plain,
( xk = sdtasdt0(sz00,sK1(sz00,xk))
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f7313,f176]) ).
fof(f10188,plain,
( sz00 = xk
| ~ spl4_11 ),
inference(forward_demodulation,[],[f7321,f7316]) ).
fof(f10189,plain,
( $false
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f10188,f181]) ).
fof(f10190,plain,
~ spl4_11,
inference(avatar_contradiction_clause,[],[f10189]) ).
fof(f10504,plain,
( ! [X0] :
( ~ aNaturalNumber0(sK2(xk))
| ~ doDivides0(X0,xk)
| ~ doDivides0(sK2(xk),X0)
| ~ aNaturalNumber0(xk)
| sz00 = xk
| ~ aNaturalNumber0(X0) )
| ~ spl4_1
| spl4_7 ),
inference(resolution,[],[f1764,f546]) ).
fof(f10513,plain,
( ! [X0] :
( ~ doDivides0(X0,xk)
| ~ doDivides0(sK2(xk),X0)
| ~ aNaturalNumber0(xk)
| sz00 = xk
| ~ aNaturalNumber0(X0) )
| ~ spl4_1
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f10504,f522]) ).
fof(f10518,plain,
( ! [X0] :
( ~ doDivides0(X0,xk)
| ~ doDivides0(sK2(xk),X0)
| sz00 = xk
| ~ aNaturalNumber0(X0) )
| ~ spl4_1
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f10513,f176]) ).
fof(f10519,plain,
( ! [X0] :
( ~ doDivides0(sK2(xk),X0)
| ~ doDivides0(X0,xk)
| ~ aNaturalNumber0(X0) )
| ~ spl4_1
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f10518,f181]) ).
fof(f13503,plain,
( ~ doDivides0(xk,xk)
| ~ aNaturalNumber0(xk)
| ~ spl4_1
| spl4_7 ),
inference(resolution,[],[f10519,f447]) ).
fof(f13516,plain,
( ~ aNaturalNumber0(xk)
| ~ spl4_1
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f13503,f383]) ).
fof(f13520,plain,
( $false
| ~ spl4_1
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f13516,f176]) ).
fof(f13521,plain,
( ~ spl4_1
| spl4_7 ),
inference(avatar_contradiction_clause,[],[f13520]) ).
fof(f13690,plain,
( sz10 != sz10
| ~ aNaturalNumber0(xk)
| sz10 = xk
| sz00 = xk
| isPrime0(xk)
| ~ spl4_6 ),
inference(superposition,[],[f172,f1755]) ).
fof(f13692,plain,
( ~ aNaturalNumber0(xk)
| sz10 = xk
| sz00 = xk
| isPrime0(xk)
| ~ spl4_6 ),
inference(trivial_inequality_removal,[],[f13690]) ).
fof(f13693,plain,
( sz10 = xk
| sz00 = xk
| isPrime0(xk)
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f13692,f176]) ).
fof(f13707,plain,
( sz00 = xk
| isPrime0(xk)
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f13693,f180]) ).
fof(f13708,plain,
( isPrime0(xk)
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f13707,f181]) ).
fof(f13709,plain,
( $false
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f13708,f182]) ).
fof(f13710,plain,
~ spl4_6,
inference(avatar_contradiction_clause,[],[f13709]) ).
cnf(s2,plain,
spl4_1,
inference(sat_conversion,[],[f542]) ).
cnf(s5,plain,
( ~ spl4_1
| spl4_3
| spl4_6
| ~ spl4_7 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s14,plain,
( ~ spl4_3
| spl4_11 ),
inference(sat_conversion,[],[f7252]) ).
cnf(s15,plain,
~ spl4_11,
inference(sat_conversion,[],[f10190]) ).
cnf(s17,plain,
( ~ spl4_1
| spl4_7 ),
inference(sat_conversion,[],[f13521]) ).
cnf(s18,plain,
~ spl4_6,
inference(sat_conversion,[],[f13710]) ).
cnf(s19,plain,
~ spl4_3,
inference(rat,[],[s14,s15]) ).
cnf(s23,plain,
( ~ spl4_1
| ~ spl4_7 ),
inference(rat,[],[s5,s18,s19]) ).
cnf(s25,plain,
spl4_7,
inference(rat,[],[s17,s2]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s23,s25,s2]) ).
fof(f13711,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM483+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 20:07:00 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 8.16/1.85 % (2364504)Will run a generic schedule for satisfiability detection.
% 8.16/1.85 % (2364512)dis+10_1_sil=32000:sp=arity:random_seed=3654188992:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.16/1.85 % (2364510)% WARNING: option uhcvi not known.
% 8.16/1.85 % (2364509)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2439866305_2999 on theBenchmark for (2999ds/0Mi)
% 8.16/1.85 % (2364510)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3429630643:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.16/1.85 % (2364511)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3429453274:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.16/1.85 % (2364514)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=608525438:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.16/1.85 % (2364513)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=572831540:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.16/1.85 % (2364515)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1433826040:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.16/1.85 % Detected minimum model sizes of [3]
% 8.16/1.85 % Detected maximum model sizes of [max]
% 8.16/1.85 % TRYING [3]
% 8.16/1.85 % TRYING [4]
% 8.16/1.85 % (2364512)Instruction limit reached!
% 8.16/1.85 % (2364512)------------------------------
% 8.16/1.85 % (2364512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364512)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364512)Termination reason: Instruction limit
% 8.16/1.85 % (2364512)Termination phase: Saturation
% 8.16/1.85 % (2364512)Time elapsed: 0.035 s
% 8.16/1.85 % (2364512)Peak memory usage: 12 MB
% 8.16/1.85 % (2364512)Instructions burned: 105 (million)
% 8.16/1.85 % (2364523)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3301237798:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.16/1.85 % TRYING [5]
% 8.16/1.85 % Detected minimum model sizes of [3]
% 8.16/1.85 % Detected maximum model sizes of [max]
% 8.16/1.85 % TRYING [3]
% 8.16/1.85 % TRYING [4]
% 8.16/1.85 % TRYING [5]
% 8.16/1.85 % (2364513)Instruction limit reached!
% 8.16/1.85 % (2364513)------------------------------
% 8.16/1.85 % (2364513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364513)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364513)Termination reason: Instruction limit
% 8.16/1.85 % (2364513)Termination phase: Saturation
% 8.16/1.85 % (2364513)Time elapsed: 0.069 s
% 8.16/1.85 % (2364513)Peak memory usage: 13 MB
% 8.16/1.85 % (2364513)Instructions burned: 118 (million)
% 8.16/1.85 % (2364514)Instruction limit reached!
% 8.16/1.85 % (2364514)------------------------------
% 8.16/1.85 % (2364514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364514)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364514)Termination reason: Instruction limit
% 8.16/1.85 % (2364514)Termination phase: Saturation
% 8.16/1.85 % (2364514)Time elapsed: 0.070 s
% 8.16/1.85 % (2364514)Peak memory usage: 12 MB
% 8.16/1.85 % (2364514)Instructions burned: 131 (million)
% 8.16/1.85 % (2364526)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=1439743920:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.16/1.85 % (2364525)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2465911430:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.16/1.85 % TRYING [6]
% 8.16/1.85 % (2364515)Instruction limit reached!
% 8.16/1.85 % (2364515)------------------------------
% 8.16/1.85 % (2364515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364515)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364515)Termination reason: Instruction limit
% 8.16/1.85 % (2364515)Termination phase: Saturation
% 8.16/1.85 % (2364515)Time elapsed: 0.098 s
% 8.16/1.85 % (2364515)Peak memory usage: 14 MB
% 8.16/1.85 % (2364515)Instructions burned: 160 (million)
% 8.16/1.85 % TRYING [6]
% 8.16/1.85 % (2364529)ott-21_1_sil=16000:fs=off:random_seed=986618727:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.16/1.85 % (2364525)Instruction limit reached!
% 8.16/1.85 % (2364525)------------------------------
% 8.16/1.85 % (2364525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364525)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364525)Termination reason: Instruction limit
% 8.16/1.85 % (2364525)Termination phase: Saturation
% 8.16/1.85 % (2364525)Time elapsed: 0.070 s
% 8.16/1.85 % (2364525)Peak memory usage: 12 MB
% 8.16/1.85 % (2364525)Instructions burned: 131 (million)
% 8.16/1.85 % (2364523)Instruction limit reached!
% 8.16/1.85 % (2364523)------------------------------
% 8.16/1.85 % (2364523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364523)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364523)Termination reason: Instruction limit
% 8.16/1.85 % (2364523)Termination phase: Finite model building constraint generation
% 8.16/1.85 % (2364523)Time elapsed: 0.136 s
% 8.16/1.85 % (2364523)Peak memory usage: 32 MB
% 8.16/1.85 % (2364523)Instructions burned: 716 (million)
% 8.16/1.85 % (2364531)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2337632410:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.16/1.85 % (2364532)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1767915417:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.16/1.85 % Detected minimum model sizes of [3]
% 8.16/1.85 % Detected maximum model sizes of [max]
% 8.16/1.85 % TRYING [3]
% 8.16/1.85 % TRYING [4]
% 8.16/1.85 % (2364529)Instruction limit reached!
% 8.16/1.85 % (2364529)------------------------------
% 8.16/1.85 % (2364529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364529)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364529)Termination reason: Instruction limit
% 8.16/1.85 % (2364529)Termination phase: Saturation
% 8.16/1.85 % (2364529)Time elapsed: 0.097 s
% 8.16/1.85 % (2364529)Peak memory usage: 14 MB
% 8.16/1.85 % (2364529)Instructions burned: 181 (million)
% 8.16/1.85 % TRYING [5]
% 8.16/1.85 % (2364535)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1524456567:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.16/1.85 % TRYING [7]
% 8.16/1.85 % TRYING [6]
% 8.16/1.85 % (2364532)Instruction limit reached!
% 8.16/1.85 % (2364532)------------------------------
% 8.16/1.85 % (2364532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364532)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364532)Termination reason: Instruction limit
% 8.16/1.85 % (2364532)Termination phase: Finite model building constraint generation
% 8.16/1.85 % (2364532)Time elapsed: 0.183 s
% 8.16/1.85 % (2364532)Peak memory usage: 22 MB
% 8.16/1.85 % (2364532)Instructions burned: 870 (million)
% 8.16/1.85 % (2364537)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1783719069:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.16/1.85 % (2364526)Instruction limit reached!
% 8.16/1.85 % (2364526)------------------------------
% 8.16/1.85 % (2364526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364526)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364526)Termination reason: Instruction limit
% 8.16/1.85 % (2364526)Termination phase: Saturation
% 8.16/1.85 % (2364526)Time elapsed: 0.374 s
% 8.16/1.85 % (2364526)Peak memory usage: 18 MB
% 8.16/1.85 % (2364526)Instructions burned: 685 (million)
% 8.16/1.85 % TRYING [14]
% 8.16/1.85 % (2364539)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=393169671: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)
% 8.16/1.85 % (2364531)Instruction limit reached!
% 8.16/1.85 % (2364531)------------------------------
% 8.16/1.85 % (2364531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364531)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364531)Termination reason: Instruction limit
% 8.16/1.85 % (2364531)Termination phase: Saturation
% 8.16/1.85 % (2364531)Time elapsed: 0.317 s
% 8.16/1.85 % (2364531)Peak memory usage: 15 MB
% 8.16/1.85 % (2364531)Instructions burned: 477 (million)
% 8.16/1.85 % (2364541)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=520840386:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.16/1.85 % (2364537)Instruction limit reached!
% 8.16/1.85 % (2364537)------------------------------
% 8.16/1.85 % (2364537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364537)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364537)Termination reason: Instruction limit
% 8.16/1.85 % (2364537)Termination phase: Finite model building constraint generation
% 8.16/1.85 % (2364537)Time elapsed: 0.188 s
% 8.16/1.85 % (2364537)Peak memory usage: 79 MB
% 8.16/1.85 % (2364537)Instructions burned: 890 (million)
% 8.16/1.85 % (2364543)fmb+10_1_sil=64000:random_seed=739363044:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 8.16/1.85 % Detected minimum model sizes of [3]
% 8.16/1.85 % Detected maximum model sizes of [max]
% 8.16/1.85 % TRYING [3]
% 8.16/1.85 % TRYING [4]
% 8.16/1.85 % TRYING [5]
% 8.16/1.85 % TRYING [8]
% 8.16/1.85 % TRYING [6]
% 8.16/1.85 % (2364539)Instruction limit reached!
% 8.16/1.85 % (2364539)------------------------------
% 8.16/1.85 % (2364539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364539)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364539)Termination reason: Instruction limit
% 8.16/1.85 % (2364539)Termination phase: Saturation
% 8.16/1.85 % (2364539)Time elapsed: 0.388 s
% 8.16/1.85 % (2364539)Peak memory usage: 22 MB
% 8.16/1.85 % (2364539)Instructions burned: 693 (million)
% 8.16/1.85 % (2364535)Instruction limit reached!
% 8.16/1.85 % (2364535)------------------------------
% 8.16/1.85 % (2364535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364535)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364535)Termination reason: Instruction limit
% 8.16/1.85 % (2364535)Termination phase: Saturation
% 8.16/1.85 % (2364535)Time elapsed: 0.656 s
% 8.16/1.85 % (2364535)Peak memory usage: 24 MB
% 8.16/1.85 % (2364535)Instructions burned: 1180 (million)
% 8.16/1.85 % (2364545)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1743938758:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.16/1.85 % Detected minimum model sizes of [3]
% 8.16/1.85 % Detected maximum model sizes of [max]
% 8.16/1.85 % TRYING [20]
% 8.16/1.85 % (2364547)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=374214859:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 8.16/1.85 % Detected minimum model sizes of [3]
% 8.16/1.85 % Detected maximum model sizes of [max]
% 8.16/1.85 % TRYING [8]
% 8.16/1.85 % (2364541)Instruction limit reached!
% 8.16/1.85 % (2364541)------------------------------
% 8.16/1.85 % (2364541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364541)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364541)Termination reason: Instruction limit
% 8.16/1.85 % (2364541)Termination phase: Saturation
% 8.16/1.85 % (2364541)Time elapsed: 0.515 s
% 8.16/1.85 % (2364541)Peak memory usage: 18 MB
% 8.16/1.85 % (2364541)Instructions burned: 880 (million)
% 8.16/1.85 % (2364549)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3108850558:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 8.16/1.85 % TRYING [7]
% 8.16/1.85 % (2364547)Instruction limit reached!
% 8.16/1.85 % (2364547)------------------------------
% 8.16/1.85 % (2364547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364547)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364547)Termination reason: Instruction limit
% 8.16/1.85 % (2364547)Termination phase: Finite model building constraint generation
% 8.16/1.85 % (2364547)Time elapsed: 0.340 s
% 8.16/1.85 % (2364547)Peak memory usage: 66 MB
% 8.16/1.85 % (2364547)Instructions burned: 920 (million)
% 8.16/1.85 % (2364551)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1492779488:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 8.16/1.85 % (2364549) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2364504-2364549"...
% 8.16/1.85 % (2364549)...printing done.
% 8.16/1.85 % (2364549)Refutation found. Thanks to Tanya!
% 8.16/1.85 % SZS status Theorem for theBenchmark
% 8.16/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 8.16/1.85 % (2364549)------------------------------
% 8.16/1.85 % (2364549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.16/1.85 % (2364549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.85 % (2364549)CaDiCaL version: 2.1.3
% 8.16/1.85 % (2364549)Termination reason: Refutation
% 8.16/1.85 % (2364549)Time elapsed: 0.328 s
% 8.16/1.85 % (2364549)Peak memory usage: 17 MB
% 8.16/1.85 % (2364549)Instructions burned: 609 (million)
% 8.16/1.85 % (2364504)Success in time 1.436 s
% 8.16/1.85 % Vampire exiting
%------------------------------------------------------------------------------