%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM513+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:24:37 PM UTC 2026
% Result : Theorem 2.82s 0.92s
% Output : Refutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 26
% Syntax : Number of formulae : 168 ( 42 unt; 11 def)
% Number of atoms : 541 ( 160 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 619 ( 246 ~; 285 |; 61 &)
% ( 16 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 103 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f52,axiom,
doDivides0(xr,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).
fof(f55,conjecture,
sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f56,negated_conjecture,
sdtasdt0(xp,sdtsldt0(xk,xr)) != sdtasdt0(sdtsldt0(xn,xr),xm),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f59,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(flattening,[],[f56]) ).
fof(f62,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f63,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f62]) ).
fof(f68,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f69,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f70,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f69]) ).
fof(f85,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f86,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f85]) ).
fof(f108,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f108]) ).
fof(f118,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f119,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f121,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f120]) ).
fof(f127,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f86]) ).
fof(f128,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f127]) ).
fof(f129,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f128]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f109]) ).
fof(f136,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f135]) ).
fof(f137,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f138,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ( sz10 != sK2(X0)
& sK2(X0) != X0
& aNaturalNumber0(sK2(X0))
& doDivides0(sK2(X0),X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f139]) ).
fof(f142,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f146,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f149,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f68]) ).
fof(f151,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f168,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f192,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f193,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f202,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f210,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f211,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f212,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f214,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f215,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f216,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f222,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f227,plain,
isPrime0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f228,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f229,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f235,plain,
doDivides0(xr,xn),
inference(cnf_transformation,[],[f52]) ).
fof(f240,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) != sdtasdt0(xp,sdtsldt0(xk,xr)),
inference(cnf_transformation,[],[f59]) ).
fof(f241,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f168]) ).
fof(f249,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f193]) ).
fof(f250,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f192]) ).
fof(f251,plain,
( ~ isPrime0(sz00)
| ~ aNaturalNumber0(sz00) ),
inference(equality_resolution,[],[f202]) ).
fof(f253,definition,
sF4 = sdtsldt0(xn,xr),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f254,plain,
sdtsldt0(xn,xr) = sF4,
inference(reorient_equations,[],[f253]) ).
fof(f255,definition,
sF5 = sdtasdt0(sF4,xm),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f256,plain,
sdtasdt0(sF4,xm) = sF5,
inference(reorient_equations,[],[f255]) ).
fof(f257,definition,
sF6 = sdtsldt0(xk,xr),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f258,plain,
sdtsldt0(xk,xr) = sF6,
inference(reorient_equations,[],[f257]) ).
fof(f259,definition,
sF7 = sdtasdt0(xp,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f260,plain,
sdtasdt0(xp,sF6) = sF7,
inference(reorient_equations,[],[f259]) ).
fof(f261,plain,
sF5 != sF7,
inference(definition_folding,[],[f240,f260,f258,f256,f254]) ).
fof(f273,definition,
( spl8_3
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f274,plain,
( aNaturalNumber0(sz00)
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f277,definition,
( spl8_4
<=> isPrime0(sz00) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f279,plain,
( ~ isPrime0(sz00)
| spl8_4 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,plain,
( ~ spl8_3
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f251,f277,f273]) ).
fof(f282,plain,
spl8_3,
inference(avatar_split_clause,[],[f142,f273]) ).
fof(f287,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f149,f212]) ).
fof(f354,definition,
( spl8_7
<=> aNaturalNumber0(sF4) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f355,plain,
( aNaturalNumber0(sF4)
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f356,plain,
( ~ aNaturalNumber0(sF4)
| spl8_7 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f375,definition,
( spl8_10
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
fof(f376,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl8_10 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f377,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f400,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(resolution,[],[f151,f212]) ).
fof(f401,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(xm,X0) ),
inference(resolution,[],[f151,f211]) ).
fof(f423,definition,
( spl8_11
<=> aNaturalNumber0(xk) ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
fof(f424,plain,
( aNaturalNumber0(xk)
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f425,plain,
( ~ aNaturalNumber0(xk)
| spl8_11 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f469,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl8_10 ),
inference(resolution,[],[f376,f146]) ).
fof(f470,plain,
( ~ aNaturalNumber0(xm)
| spl8_10 ),
inference(forward_subsumption_resolution,[],[f469,f212]) ).
fof(f471,plain,
( $false
| spl8_10 ),
inference(forward_subsumption_resolution,[],[f470,f211]) ).
fof(f472,plain,
spl8_10,
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f1002,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f241,f287]) ).
fof(f1017,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(duplicate_literal_removal,[],[f1002]) ).
fof(f1024,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00) ),
inference(forward_subsumption_resolution,[],[f1017,f212]) ).
fof(f1031,plain,
( sdtlseqdt0(sz00,xn)
| ~ spl8_3 ),
inference(forward_subsumption_resolution,[],[f1024,f274]) ).
fof(f1247,definition,
( spl8_66
<=> sz00 = xr ),
introduced(definition,[new_symbols(definition,[spl8_66])],[avatar_definition]) ).
fof(f1248,plain,
( sz00 != xr
| spl8_66 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1249,plain,
( sz00 = xr
| ~ spl8_66 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1316,plain,
( sz00 = xp
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[],[f249,f214]) ).
fof(f1318,plain,
( sz00 = xr
| aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f249,f235]) ).
fof(f1327,plain,
( sz00 = xp
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f1316,f210]) ).
fof(f1329,plain,
( sz00 = xp
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl8_10 ),
inference(forward_subsumption_resolution,[],[f1327,f377]) ).
fof(f1330,plain,
( aNaturalNumber0(xk)
| sz00 = xp
| ~ spl8_10 ),
inference(forward_demodulation,[],[f1329,f222]) ).
fof(f1331,plain,
( sz00 = xp
| ~ spl8_10
| spl8_11 ),
inference(forward_subsumption_resolution,[],[f1330,f425]) ).
fof(f1334,plain,
( isPrime0(sz00)
| ~ spl8_10
| spl8_11 ),
inference(superposition,[],[f215,f1331]) ).
fof(f1370,plain,
( $false
| spl8_4
| ~ spl8_10
| spl8_11 ),
inference(forward_subsumption_resolution,[],[f1334,f279]) ).
fof(f1371,plain,
( spl8_4
| ~ spl8_10
| spl8_11 ),
inference(avatar_contradiction_clause,[],[f1370]) ).
fof(f1558,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn)
| spl8_66 ),
inference(forward_subsumption_resolution,[],[f1318,f1248]) ).
fof(f1585,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| ~ aNaturalNumber0(xn)
| spl8_66 ),
inference(forward_subsumption_resolution,[],[f1558,f229]) ).
fof(f1592,plain,
( aNaturalNumber0(sdtsldt0(xn,xr))
| spl8_66 ),
inference(forward_subsumption_resolution,[],[f1585,f212]) ).
fof(f1598,plain,
( aNaturalNumber0(sF4)
| spl8_66 ),
inference(forward_demodulation,[],[f1592,f254]) ).
fof(f1603,plain,
( $false
| spl8_7
| spl8_66 ),
inference(forward_subsumption_resolution,[],[f1598,f356]) ).
fof(f1604,plain,
( spl8_7
| spl8_66 ),
inference(avatar_contradiction_clause,[],[f1603]) ).
fof(f1975,definition,
( spl8_81
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl8_81])],[avatar_definition]) ).
fof(f1976,plain,
( sz00 != xp
| spl8_81 ),
inference(avatar_component_clause,[],[f1975]) ).
fof(f1977,plain,
( sz00 = xp
| ~ spl8_81 ),
inference(avatar_component_clause,[],[f1975]) ).
fof(f2026,plain,
( sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[],[f250,f214]) ).
fof(f2038,plain,
( sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f2026,f210]) ).
fof(f2042,plain,
( sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl8_10 ),
inference(forward_subsumption_resolution,[],[f2038,f377]) ).
fof(f2044,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| sz00 = xp
| ~ spl8_10 ),
inference(forward_demodulation,[],[f2042,f222]) ).
fof(f3802,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xr
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) ),
inference(resolution,[],[f199,f228]) ).
fof(f3803,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xr
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f199,f235]) ).
fof(f3990,plain,
( ~ sdtlseqdt0(sz00,xn)
| ~ spl8_81 ),
inference(superposition,[],[f216,f1977]) ).
fof(f4023,plain,
( $false
| ~ spl8_3
| ~ spl8_81 ),
inference(forward_subsumption_resolution,[],[f3990,f1031]) ).
fof(f4024,plain,
( ~ spl8_3
| ~ spl8_81 ),
inference(avatar_contradiction_clause,[],[f4023]) ).
fof(f5667,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ spl8_10
| spl8_81 ),
inference(forward_subsumption_resolution,[],[f2044,f1976]) ).
fof(f7022,plain,
( isPrime0(sz00)
| ~ spl8_66 ),
inference(superposition,[],[f227,f1249]) ).
fof(f7062,plain,
( $false
| spl8_4
| ~ spl8_66 ),
inference(forward_subsumption_resolution,[],[f7022,f279]) ).
fof(f7063,plain,
( spl8_4
| ~ spl8_66 ),
inference(avatar_contradiction_clause,[],[f7062]) ).
fof(f7083,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) )
| spl8_66 ),
inference(forward_subsumption_resolution,[],[f3803,f1248]) ).
fof(f7084,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk) )
| spl8_66 ),
inference(forward_subsumption_resolution,[],[f3802,f1248]) ).
fof(f7206,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr)
| ~ aNaturalNumber0(xn) )
| spl8_66 ),
inference(forward_subsumption_resolution,[],[f7083,f229]) ).
fof(f7207,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr)
| ~ aNaturalNumber0(xk) )
| spl8_66 ),
inference(forward_subsumption_resolution,[],[f7084,f229]) ).
fof(f7297,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xr)) = sdtsldt0(sdtasdt0(X0,xn),xr) )
| spl8_66 ),
inference(forward_subsumption_resolution,[],[f7206,f212]) ).
fof(f7298,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xk,xr)) = sdtsldt0(sdtasdt0(X0,xk),xr) )
| ~ spl8_11
| spl8_66 ),
inference(forward_subsumption_resolution,[],[f7207,f424]) ).
fof(f7370,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF4) = sdtsldt0(sdtasdt0(X0,xn),xr) )
| spl8_66 ),
inference(forward_demodulation,[],[f7297,f254]) ).
fof(f7371,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF6) = sdtsldt0(sdtasdt0(X0,xk),xr) )
| ~ spl8_11
| spl8_66 ),
inference(forward_demodulation,[],[f7298,f258]) ).
fof(f9615,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[],[f400,f211]) ).
fof(f9697,plain,
( sdtasdt0(sF4,xm) = sdtasdt0(xm,sF4)
| ~ spl8_7 ),
inference(resolution,[],[f401,f355]) ).
fof(f9701,plain,
( sF5 = sdtasdt0(xm,sF4)
| ~ spl8_7 ),
inference(forward_demodulation,[],[f9697,f256]) ).
fof(f10865,plain,
( sdtasdt0(xm,sF4) = sdtsldt0(sdtasdt0(xm,xn),xr)
| spl8_66 ),
inference(resolution,[],[f7370,f211]) ).
fof(f10911,plain,
( sdtsldt0(sdtasdt0(xn,xm),xr) = sdtasdt0(xm,sF4)
| spl8_66 ),
inference(forward_demodulation,[],[f10865,f9615]) ).
fof(f10935,plain,
( sF5 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ spl8_7
| spl8_66 ),
inference(forward_demodulation,[],[f10911,f9701]) ).
fof(f10962,plain,
( sdtsldt0(sdtasdt0(xp,xk),xr) = sdtasdt0(xp,sF6)
| ~ spl8_11
| spl8_66 ),
inference(resolution,[],[f7371,f210]) ).
fof(f10999,plain,
( sdtsldt0(sdtasdt0(xp,xk),xr) = sF7
| ~ spl8_11
| spl8_66 ),
inference(forward_demodulation,[],[f10962,f260]) ).
fof(f11012,plain,
( sF7 = sdtsldt0(sdtasdt0(xn,xm),xr)
| ~ spl8_10
| ~ spl8_11
| spl8_66
| spl8_81 ),
inference(forward_demodulation,[],[f10999,f5667]) ).
fof(f11020,plain,
( sF5 = sF7
| ~ spl8_7
| ~ spl8_10
| ~ spl8_11
| spl8_66
| spl8_81 ),
inference(forward_demodulation,[],[f11012,f10935]) ).
fof(f11022,plain,
( $false
| ~ spl8_7
| ~ spl8_10
| ~ spl8_11
| spl8_66
| spl8_81 ),
inference(forward_subsumption_resolution,[],[f11020,f261]) ).
fof(f11023,plain,
( ~ spl8_7
| ~ spl8_10
| ~ spl8_11
| spl8_66
| spl8_81 ),
inference(avatar_contradiction_clause,[],[f11022]) ).
cnf(s2,plain,
( ~ spl8_3
| ~ spl8_4 ),
inference(sat_conversion,[],[f280]) ).
cnf(s4,plain,
spl8_3,
inference(sat_conversion,[],[f282]) ).
cnf(s13,plain,
spl8_10,
inference(sat_conversion,[],[f472]) ).
cnf(s51,plain,
( spl8_4
| ~ spl8_10
| spl8_11 ),
inference(sat_conversion,[],[f1371]) ).
cnf(s59,plain,
( spl8_7
| spl8_66 ),
inference(sat_conversion,[],[f1604]) ).
cnf(s98,plain,
( ~ spl8_3
| ~ spl8_81 ),
inference(sat_conversion,[],[f4024]) ).
cnf(s148,plain,
( spl8_4
| ~ spl8_66 ),
inference(sat_conversion,[],[f7063]) ).
cnf(s203,plain,
( ~ spl8_7
| ~ spl8_10
| ~ spl8_11
| spl8_66
| spl8_81 ),
inference(sat_conversion,[],[f11023]) ).
cnf(s206,plain,
~ spl8_81,
inference(rat,[],[s98,s4]) ).
cnf(s209,plain,
~ spl8_4,
inference(rat,[],[s2,s4]) ).
cnf(s210,plain,
~ spl8_66,
inference(rat,[],[s148,s209]) ).
cnf(s211,plain,
spl8_11,
inference(rat,[],[s51,s13,s209]) ).
cnf(s212,plain,
spl8_7,
inference(rat,[],[s59,s210]) ).
cnf(s219,plain,
$false,
inference(rat,[],[s203,s206,s210,s13,s211,s212]) ).
fof(f11024,plain,
$false,
inference(avatar_sat_refutation,[],[s219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM513+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 20:22:16 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.82/0.92 % (3925185)Will run a generic schedule for satisfiability detection.
% 2.82/0.92 % (3925193)dis+10_1_sil=32000:sp=arity:random_seed=2936796973:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.82/0.92 % (3925191)% WARNING: option uhcvi not known.
% 2.82/0.92 % (3925190)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3495958288_2999 on theBenchmark for (2999ds/0Mi)
% 2.82/0.92 % (3925192)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1473770594:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.82/0.92 % (3925194)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2891765851:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.82/0.92 % (3925195)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=343330515:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.82/0.92 % (3925191)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4213186982:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.82/0.92 % (3925196)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1939687410:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.82/0.92 % Detected minimum model sizes of [3]
% 2.82/0.92 % Detected maximum model sizes of [max]
% 2.82/0.92 % TRYING [3]
% 2.82/0.92 % TRYING [4]
% 2.82/0.92 % (3925193)Instruction limit reached!
% 2.82/0.92 % (3925193)------------------------------
% 2.82/0.92 % (3925193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.92 % (3925193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.92 % (3925193)CaDiCaL version: 2.1.3
% 2.82/0.92 % (3925193)Termination reason: Instruction limit
% 2.82/0.92 % (3925193)Termination phase: Saturation
% 2.82/0.92 % (3925193)Time elapsed: 0.032 s
% 2.82/0.92 % (3925193)Peak memory usage: 12 MB
% 2.82/0.92 % (3925193)Instructions burned: 104 (million)
% 2.82/0.92 % (3925204)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=781923795:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.82/0.92 % Detected minimum model sizes of [3]
% 2.82/0.92 % Detected maximum model sizes of [max]
% 2.82/0.92 % TRYING [3]
% 2.82/0.92 % TRYING [5]
% 2.82/0.92 % TRYING [4]
% 2.82/0.92 % TRYING [5]
% 2.82/0.92 % (3925194)Instruction limit reached!
% 2.82/0.92 % (3925194)------------------------------
% 2.82/0.92 % (3925194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.92 % (3925194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.92 % (3925194)CaDiCaL version: 2.1.3
% 2.82/0.92 % (3925194)Termination reason: Instruction limit
% 2.82/0.92 % (3925194)Termination phase: Saturation
% 2.82/0.92 % (3925194)Time elapsed: 0.067 s
% 2.82/0.92 % (3925194)Peak memory usage: 13 MB
% 2.82/0.92 % (3925194)Instructions burned: 117 (million)
% 2.82/0.92 % (3925195)Instruction limit reached!
% 2.82/0.92 % (3925195)------------------------------
% 2.82/0.92 % (3925195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.92 % (3925195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.92 % (3925195)CaDiCaL version: 2.1.3
% 2.82/0.92 % (3925195)Termination reason: Instruction limit
% 2.82/0.92 % (3925195)Termination phase: Saturation
% 2.82/0.92 % (3925195)Time elapsed: 0.077 s
% 2.82/0.92 % (3925195)Peak memory usage: 13 MB
% 2.82/0.92 % (3925195)Instructions burned: 132 (million)
% 2.82/0.92 % (3925206)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1394526345:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.82/0.92 % (3925196)Instruction limit reached!
% 2.82/0.92 % (3925196)------------------------------
% 2.82/0.92 % (3925196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.92 % (3925196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.92 % (3925196)CaDiCaL version: 2.1.3
% 2.82/0.92 % (3925196)Termination reason: Instruction limit
% 2.82/0.92 % (3925196)Termination phase: Saturation
% 2.82/0.92 % (3925196)Time elapsed: 0.095 s
% 2.82/0.92 % (3925196)Peak memory usage: 14 MB
% 2.82/0.92 % (3925196)Instructions burned: 159 (million)
% 2.82/0.92 % (3925207)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=3172021979:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.82/0.92 % TRYING [6]
% 2.82/0.92 % (3925210)ott-21_1_sil=16000:fs=off:random_seed=2574232109:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.82/0.92 % TRYING [6]
% 2.82/0.92 % (3925206)Instruction limit reached!
% 2.82/0.92 % (3925206)------------------------------
% 2.82/0.92 % (3925206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.92 % (3925206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.92 % (3925206)CaDiCaL version: 2.1.3
% 2.82/0.92 % (3925206)Termination reason: Instruction limit
% 2.82/0.92 % (3925206)Termination phase: Saturation
% 2.82/0.92 % (3925206)Time elapsed: 0.070 s
% 2.82/0.92 % (3925206)Peak memory usage: 12 MB
% 2.82/0.92 % (3925206)Instructions burned: 133 (million)
% 2.82/0.92 % (3925204)Instruction limit reached!
% 2.82/0.92 % (3925204)------------------------------
% 2.82/0.92 % (3925204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.92 % (3925204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.92 % (3925204)CaDiCaL version: 2.1.3
% 2.82/0.92 % (3925204)Termination reason: Instruction limit
% 2.82/0.92 % (3925204)Termination phase: Finite model building constraint generation
% 2.82/0.92 % (3925204)Time elapsed: 0.138 s
% 2.82/0.92 % (3925204)Peak memory usage: 33 MB
% 2.82/0.92 % (3925204)Instructions burned: 716 (million)
% 2.82/0.92 % (3925212)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3809284779:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.82/0.92 % (3925213)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1291826817:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.82/0.92 % Detected minimum model sizes of [3]
% 2.82/0.92 % Detected maximum model sizes of [max]
% 2.82/0.92 % TRYING [3]
% 2.82/0.92 % TRYING [4]
% 2.82/0.92 % (3925210)Instruction limit reached!
% 2.82/0.92 % (3925210)------------------------------
% 2.82/0.92 % (3925210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.92 % (3925210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.92 % (3925210)CaDiCaL version: 2.1.3
% 2.82/0.92 % (3925210)Termination reason: Instruction limit
% 2.82/0.92 % (3925210)Termination phase: Saturation
% 2.82/0.92 % (3925210)Time elapsed: 0.096 s
% 2.82/0.92 % (3925210)Peak memory usage: 13 MB
% 2.82/0.92 % (3925210)Instructions burned: 180 (million)
% 2.82/0.92 % (3925216)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2908563719:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.82/0.92 % TRYING [5]
% 2.82/0.92 % TRYING [7]
% 2.82/0.92 % (3925213)Instruction limit reached!
% 2.82/0.92 % (3925213)------------------------------
% 2.82/0.92 % (3925213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.92 % (3925213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.92 % (3925213)CaDiCaL version: 2.1.3
% 2.82/0.92 % (3925213)Termination reason: Instruction limit
% 2.82/0.92 % (3925213)Termination phase: Finite model building constraint generation
% 2.82/0.92 % (3925213)Time elapsed: 0.187 s
% 2.82/0.92 % (3925213)Peak memory usage: 22 MB
% 2.82/0.92 % (3925213)Instructions burned: 866 (million)
% 2.82/0.92 % (3925218)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1027419238:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.82/0.92 % (3925216) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3925185-3925216"...
% 2.82/0.92 % (3925216)...printing done.
% 2.82/0.92 % (3925216)Refutation found. Thanks to Tanya!
% 2.82/0.92 % SZS status Theorem for theBenchmark
% 2.82/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.82/0.92 % (3925216)------------------------------
% 2.82/0.92 % (3925216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.92 % (3925216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.92 % (3925216)CaDiCaL version: 2.1.3
% 2.82/0.92 % (3925216)Termination reason: Refutation
% 2.82/0.92 % (3925216)Time elapsed: 0.223 s
% 2.82/0.92 % (3925216)Peak memory usage: 16 MB
% 2.82/0.92 % (3925216)Instructions burned: 389 (million)
% 2.82/0.92 % (3925185)Success in time 0.507 s
% 2.82/0.92 % Vampire exiting
%------------------------------------------------------------------------------