%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM503+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 : n011.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 12:24:34 PM UTC 2026
% Result : Theorem 1.39s 0.76s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 33
% Syntax : Number of formulae : 204 ( 41 unt; 15 def)
% Number of atoms : 668 ( 175 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 796 ( 332 ~; 374 |; 52 &)
% ( 21 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 16 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 111 !; 0 ?)
% 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(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
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/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X0 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroMul) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
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(f43,axiom,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2075) ).
fof(f44,axiom,
( xn != xp
& sdtlseqdt0(xn,xp)
& xm != xp
& sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f46,axiom,
~ ( xk = sz00
| xk = sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2315) ).
fof(f50,axiom,
sdtlseqdt0(xp,xk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2389) ).
fof(f51,conjecture,
( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f52,negated_conjecture,
~ ( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(negated_conjecture,[status(cth)],[f51]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f57,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f56]) ).
fof(f68,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f73,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(f74,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,[],[f73]) ).
fof(f77,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f78,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f77]) ).
fof(f86,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f87,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f89,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f88]) ).
fof(f92,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(f93,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,[],[f92]) ).
fof(f104,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(f105,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,[],[f104]) ).
fof(f116,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(f117,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f116]) ).
fof(f122,plain,
( sz00 != xk
& sz10 != xk ),
inference(ennf_transformation,[],[f46]) ).
fof(f123,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(ennf_transformation,[],[f52]) ).
fof(f124,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f138,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f68]) ).
fof(f144,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f74]) ).
fof(f147,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f157,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f187,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != X0
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f191,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f192,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f193,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f195,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f196,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f198,plain,
~ sdtlseqdt0(xp,xm),
inference(cnf_transformation,[],[f43]) ).
fof(f201,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f44]) ).
fof(f202,plain,
xn != xp,
inference(cnf_transformation,[],[f44]) ).
fof(f203,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f205,plain,
sz00 != xk,
inference(cnf_transformation,[],[f122]) ).
fof(f213,plain,
sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f50]) ).
fof(f214,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(cnf_transformation,[],[f123]) ).
fof(f222,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f174]) ).
fof(f223,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f173]) ).
fof(f224,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f187]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2) ),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f236,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f157]) ).
fof(f242,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(consistent_polarity_flipping,[],[f165]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2) ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f249,plain,
( ~ aNaturalNumber0(sz00)
| isPrime0(sz00) ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f258,plain,
~ isPrime0(xp),
inference(consistent_polarity_flipping,[],[f196]) ).
fof(f260,plain,
sdtlseqdt0(xp,xm),
inference(consistent_polarity_flipping,[],[f198]) ).
fof(f261,plain,
~ sdtlseqdt0(xn,xp),
inference(consistent_polarity_flipping,[],[f201]) ).
fof(f265,plain,
~ sdtlseqdt0(xp,xk),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f266,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f269,definition,
( spl4_1
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f271,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f273,definition,
( spl4_2
<=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f275,plain,
( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f277,definition,
( spl4_3
<=> sdtasdt0(xp,xm) = sdtasdt0(xp,xk) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f279,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f281,definition,
( spl4_4
<=> sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f283,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,plain,
( spl4_1
| spl4_2
| spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f266,f281,f277,f273,f269]) ).
fof(f295,definition,
( spl4_7
<=> isPrime0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f297,plain,
( isPrime0(sz00)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f299,definition,
( spl4_8
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f302,plain,
( spl4_7
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f249,f299,f295]) ).
fof(f304,plain,
spl4_8,
inference(avatar_split_clause,[],[f124,f299]) ).
fof(f337,plain,
sz00 = sdtasdt0(xn,sz00),
inference(resolution,[],[f138,f193]) ).
fof(f365,definition,
( spl4_11
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f366,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f367,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_11 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f406,definition,
( spl4_14
<=> aNaturalNumber0(xk) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f407,plain,
( aNaturalNumber0(xk)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f438,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_11 ),
inference(resolution,[],[f367,f128]) ).
fof(f439,plain,
( ~ aNaturalNumber0(xm)
| spl4_11 ),
inference(forward_subsumption_resolution,[],[f438,f193]) ).
fof(f440,plain,
( $false
| spl4_11 ),
inference(forward_subsumption_resolution,[],[f439,f192]) ).
fof(f441,plain,
spl4_11,
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f498,definition,
( spl4_17
<=> sz00 = xm ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f500,plain,
( sz00 = xm
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f558,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(resolution,[],[f222,f195]) ).
fof(f568,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f558,f191]) ).
fof(f580,plain,
( sz00 = xp
| aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f568,f366]) ).
fof(f586,plain,
( aNaturalNumber0(xk)
| sz00 = xp
| ~ spl4_11 ),
inference(forward_demodulation,[],[f580,f203]) ).
fof(f588,definition,
( spl4_26
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl4_26])],[avatar_definition]) ).
fof(f589,plain,
( sz00 != xp
| spl4_26 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f590,plain,
( sz00 = xp
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f591,plain,
( spl4_26
| spl4_14
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f586,f365,f406,f588]) ).
fof(f633,plain,
( ~ isPrime0(sz00)
| ~ spl4_26 ),
inference(superposition,[],[f258,f590]) ).
fof(f643,plain,
( $false
| ~ spl4_7
| ~ spl4_26 ),
inference(forward_subsumption_resolution,[],[f633,f297]) ).
fof(f644,plain,
( ~ spl4_7
| ~ spl4_26 ),
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f711,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f234,f260]) ).
fof(f716,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,X0)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f711,f191]) ).
fof(f719,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[],[f716,f192]) ).
fof(f864,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(resolution,[],[f223,f195]) ).
fof(f875,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f864,f191]) ).
fof(f884,plain,
( sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f875,f366]) ).
fof(f890,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl4_11
| spl4_26 ),
inference(forward_subsumption_resolution,[],[f884,f589]) ).
fof(f891,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ spl4_11
| spl4_26 ),
inference(forward_demodulation,[],[f890,f203]) ).
fof(f1109,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| sdtlseqdt0(xn,xp)
| xn = xp
| sz00 = xm
| ~ aNaturalNumber0(xp)
| ~ spl4_2 ),
inference(resolution,[],[f244,f275]) ).
fof(f1122,plain,
( ~ aNaturalNumber0(xm)
| sdtlseqdt0(xn,xp)
| xn = xp
| sz00 = xm
| ~ aNaturalNumber0(xp)
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f1109,f193]) ).
fof(f1129,plain,
( sdtlseqdt0(xn,xp)
| xn = xp
| sz00 = xm
| ~ aNaturalNumber0(xp)
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f1122,f192]) ).
fof(f1146,plain,
( xn = xp
| sz00 = xm
| ~ aNaturalNumber0(xp)
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f1129,f261]) ).
fof(f1147,plain,
( sz00 = xm
| ~ aNaturalNumber0(xp)
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f1146,f202]) ).
fof(f1148,plain,
( sz00 = xm
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f1147,f191]) ).
fof(f1149,plain,
( spl4_17
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f1148,f273,f498]) ).
fof(f1558,definition,
( spl4_83
<=> sz00 = sdtasdt0(xp,xk) ),
introduced(definition,[new_symbols(definition,[spl4_83])],[avatar_definition]) ).
fof(f1559,plain,
( sz00 = sdtasdt0(xp,xk)
| ~ spl4_83 ),
inference(avatar_component_clause,[],[f1558]) ).
fof(f1560,plain,
( sz00 != sdtasdt0(xp,xk)
| spl4_83 ),
inference(avatar_component_clause,[],[f1558]) ).
fof(f1837,definition,
( spl4_109
<=> xm = xk ),
introduced(definition,[new_symbols(definition,[spl4_109])],[avatar_definition]) ).
fof(f1839,plain,
( xm = xk
| ~ spl4_109 ),
inference(avatar_component_clause,[],[f1837]) ).
fof(f1841,definition,
( spl4_110
<=> sdtlseqdt0(xm,xk) ),
introduced(definition,[new_symbols(definition,[spl4_110])],[avatar_definition]) ).
fof(f1843,plain,
( sdtlseqdt0(xm,xk)
| ~ spl4_110 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f1872,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| ~ spl4_1
| ~ spl4_11
| spl4_26 ),
inference(superposition,[],[f891,f271]) ).
fof(f1896,plain,
( spl4_3
| ~ spl4_1
| ~ spl4_11
| spl4_26 ),
inference(avatar_split_clause,[],[f1872,f588,f365,f269,f277]) ).
fof(f2011,plain,
( ! [X0] :
( sdtasdt0(xp,xm) != sdtasdt0(xp,X0)
| sz00 = xp
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| xk = X0 )
| ~ spl4_3 ),
inference(superposition,[],[f144,f279]) ).
fof(f2028,plain,
( ! [X0] :
( sdtasdt0(xp,xm) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| xk = X0 )
| ~ spl4_3
| spl4_26 ),
inference(forward_subsumption_resolution,[],[f2011,f589]) ).
fof(f2043,plain,
( ! [X0] :
( sdtasdt0(xp,xm) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk)
| xk = X0 )
| ~ spl4_3
| spl4_26 ),
inference(forward_subsumption_resolution,[],[f2028,f191]) ).
fof(f2069,definition,
( spl4_124
<=> ! [X0] :
( sdtasdt0(xp,xm) != sdtasdt0(xp,X0)
| xk = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_124])],[avatar_definition]) ).
fof(f2070,plain,
( ! [X0] :
( sdtasdt0(xp,xm) != sdtasdt0(xp,X0)
| xk = X0
| ~ aNaturalNumber0(X0) )
| ~ spl4_124 ),
inference(avatar_component_clause,[],[f2069]) ).
fof(f2072,plain,
( ~ spl4_14
| spl4_124
| ~ spl4_3
| spl4_26 ),
inference(avatar_split_clause,[],[f2043,f588,f277,f2069,f406]) ).
fof(f2600,plain,
( xm = xk
| ~ aNaturalNumber0(xm)
| ~ spl4_124 ),
inference(equality_resolution,[],[f2070]) ).
fof(f2602,plain,
( xm = xk
| ~ spl4_124 ),
inference(forward_subsumption_resolution,[],[f2600,f192]) ).
fof(f2608,plain,
( spl4_109
| ~ spl4_124 ),
inference(avatar_split_clause,[],[f2602,f2069,f1837]) ).
fof(f2613,plain,
( ~ sdtlseqdt0(xp,xm)
| ~ spl4_109 ),
inference(superposition,[],[f265,f1839]) ).
fof(f2617,plain,
( $false
| ~ spl4_109 ),
inference(forward_subsumption_resolution,[],[f2613,f260]) ).
fof(f2618,plain,
~ spl4_109,
inference(avatar_contradiction_clause,[],[f2617]) ).
fof(f2668,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| sdtlseqdt0(xm,xk)
| xm = xk
| sz00 = xp
| ~ aNaturalNumber0(xk)
| ~ spl4_4 ),
inference(resolution,[],[f283,f242]) ).
fof(f2675,plain,
( ~ aNaturalNumber0(xp)
| sdtlseqdt0(xm,xk)
| xm = xk
| sz00 = xp
| ~ aNaturalNumber0(xk)
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f2668,f192]) ).
fof(f2679,plain,
( sdtlseqdt0(xm,xk)
| xm = xk
| sz00 = xp
| ~ aNaturalNumber0(xk)
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f2675,f191]) ).
fof(f2680,plain,
( sdtlseqdt0(xm,xk)
| xm = xk
| ~ aNaturalNumber0(xk)
| ~ spl4_4
| spl4_26 ),
inference(forward_subsumption_resolution,[],[f2679,f589]) ).
fof(f2681,plain,
( ~ spl4_14
| spl4_109
| spl4_110
| ~ spl4_4
| spl4_26 ),
inference(avatar_split_clause,[],[f2680,f588,f281,f1841,f1837,f406]) ).
fof(f2684,plain,
( ~ aNaturalNumber0(xm)
| ~ sdtlseqdt0(xk,xm)
| ~ aNaturalNumber0(xk)
| ~ spl4_110 ),
inference(resolution,[],[f1843,f236]) ).
fof(f2685,plain,
( ~ sdtlseqdt0(xk,xm)
| ~ aNaturalNumber0(xk)
| ~ spl4_110 ),
inference(forward_subsumption_resolution,[],[f2684,f192]) ).
fof(f2689,definition,
( spl4_158
<=> sdtlseqdt0(xk,xm) ),
introduced(definition,[new_symbols(definition,[spl4_158])],[avatar_definition]) ).
fof(f2691,plain,
( ~ sdtlseqdt0(xk,xm)
| spl4_158 ),
inference(avatar_component_clause,[],[f2689]) ).
fof(f2692,plain,
( ~ spl4_14
| ~ spl4_158
| ~ spl4_110 ),
inference(avatar_split_clause,[],[f2685,f1841,f2689,f406]) ).
fof(f3340,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xn,sz00)
| ~ spl4_11
| ~ spl4_17
| spl4_26 ),
inference(superposition,[],[f891,f500]) ).
fof(f4414,plain,
( sz00 != sz00
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| sz00 = xk
| sz00 = xp
| ~ spl4_83 ),
inference(superposition,[],[f147,f1559]) ).
fof(f4421,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| sz00 = xk
| sz00 = xp
| ~ spl4_83 ),
inference(trivial_inequality_removal,[],[f4414]) ).
fof(f4427,plain,
( ~ aNaturalNumber0(xk)
| sz00 = xk
| sz00 = xp
| ~ spl4_83 ),
inference(forward_subsumption_resolution,[],[f4421,f191]) ).
fof(f4440,plain,
( sz00 = xk
| sz00 = xp
| ~ spl4_14
| ~ spl4_83 ),
inference(forward_subsumption_resolution,[],[f4427,f407]) ).
fof(f4450,plain,
( sz00 = xp
| ~ spl4_14
| ~ spl4_83 ),
inference(forward_subsumption_resolution,[],[f4440,f205]) ).
fof(f4457,plain,
( $false
| ~ spl4_14
| spl4_26
| ~ spl4_83 ),
inference(forward_subsumption_resolution,[],[f4450,f589]) ).
fof(f4458,plain,
( ~ spl4_14
| spl4_26
| ~ spl4_83 ),
inference(avatar_contradiction_clause,[],[f4457]) ).
fof(f5556,plain,
( sz00 = sdtasdt0(xp,xk)
| ~ spl4_11
| ~ spl4_17
| spl4_26 ),
inference(forward_demodulation,[],[f3340,f337]) ).
fof(f5645,plain,
( $false
| ~ spl4_11
| ~ spl4_17
| spl4_26
| spl4_83 ),
inference(forward_subsumption_resolution,[],[f5556,f1560]) ).
fof(f5646,plain,
( ~ spl4_11
| ~ spl4_17
| spl4_26
| spl4_83 ),
inference(avatar_contradiction_clause,[],[f5645]) ).
fof(f6376,plain,
( sdtlseqdt0(xk,xm)
| sdtlseqdt0(xp,xk)
| ~ spl4_14 ),
inference(resolution,[],[f719,f407]) ).
fof(f6439,plain,
( sdtlseqdt0(xp,xk)
| ~ spl4_14
| spl4_158 ),
inference(forward_subsumption_resolution,[],[f6376,f2691]) ).
fof(f6475,plain,
( $false
| ~ spl4_14
| spl4_158 ),
inference(forward_subsumption_resolution,[],[f6439,f265]) ).
fof(f6476,plain,
( ~ spl4_14
| spl4_158 ),
inference(avatar_contradiction_clause,[],[f6475]) ).
cnf(s1,plain,
( spl4_1
| spl4_2
| spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f284]) ).
cnf(s3,plain,
( spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f302]) ).
cnf(s5,plain,
spl4_8,
inference(sat_conversion,[],[f304]) ).
cnf(s11,plain,
spl4_11,
inference(sat_conversion,[],[f441]) ).
cnf(s18,plain,
( ~ spl4_11
| spl4_14
| spl4_26 ),
inference(sat_conversion,[],[f591]) ).
cnf(s21,plain,
( ~ spl4_7
| ~ spl4_26 ),
inference(sat_conversion,[],[f644]) ).
cnf(s50,plain,
( ~ spl4_2
| spl4_17 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s157,plain,
( ~ spl4_1
| spl4_3
| ~ spl4_11
| spl4_26 ),
inference(sat_conversion,[],[f1896]) ).
cnf(s183,plain,
( ~ spl4_3
| ~ spl4_14
| spl4_26
| spl4_124 ),
inference(sat_conversion,[],[f2072]) ).
cnf(s239,plain,
( spl4_109
| ~ spl4_124 ),
inference(sat_conversion,[],[f2608]) ).
cnf(s240,plain,
~ spl4_109,
inference(sat_conversion,[],[f2618]) ).
cnf(s270,plain,
( ~ spl4_4
| ~ spl4_14
| spl4_26
| spl4_109
| spl4_110 ),
inference(sat_conversion,[],[f2681]) ).
cnf(s271,plain,
( ~ spl4_14
| ~ spl4_110
| ~ spl4_158 ),
inference(sat_conversion,[],[f2692]) ).
cnf(s395,plain,
( ~ spl4_14
| spl4_26
| ~ spl4_83 ),
inference(sat_conversion,[],[f4458]) ).
cnf(s484,plain,
( ~ spl4_11
| ~ spl4_17
| spl4_26
| spl4_83 ),
inference(sat_conversion,[],[f5646]) ).
cnf(s626,plain,
( ~ spl4_14
| spl4_158 ),
inference(sat_conversion,[],[f6476]) ).
cnf(s639,plain,
~ spl4_124,
inference(rat,[],[s239,s240]) ).
cnf(s641,plain,
( ~ spl4_3
| ~ spl4_14
| spl4_26 ),
inference(rat,[],[s183,s639]) ).
cnf(s649,plain,
spl4_7,
inference(rat,[],[s3,s5]) ).
cnf(s651,plain,
~ spl4_26,
inference(rat,[],[s21,s649]) ).
cnf(s660,plain,
spl4_14,
inference(rat,[],[s18,s11,s651]) ).
cnf(s674,plain,
spl4_158,
inference(rat,[],[s626,s660]) ).
cnf(s677,plain,
~ spl4_83,
inference(rat,[],[s395,s651,s660]) ).
cnf(s678,plain,
~ spl4_110,
inference(rat,[],[s271,s674,s660]) ).
cnf(s679,plain,
~ spl4_4,
inference(rat,[],[s270,s678,s240,s651,s660]) ).
cnf(s680,plain,
~ spl4_3,
inference(rat,[],[s641,s651,s660]) ).
cnf(s693,plain,
~ spl4_17,
inference(rat,[],[s484,s651,s11,s677]) ).
cnf(s697,plain,
~ spl4_1,
inference(rat,[],[s157,s651,s11,s680]) ).
cnf(s732,plain,
~ spl4_2,
inference(rat,[],[s50,s693]) ).
cnf(s745,plain,
$false,
inference(rat,[],[s1,s679,s680,s732,s697]) ).
fof(f6480,plain,
$false,
inference(avatar_sat_refutation,[],[s745]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM503+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.19/0.45 % Computer : n011.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 20:14:01 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.51 Running first-order model finding
% 0.22/0.51 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
% 1.39/0.76 % (2730976)Will run a generic schedule for satisfiability detection.
% 1.39/0.76 % (2730981)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3713146518_2999 on theBenchmark for (2999ds/0Mi)
% 1.39/0.76 % Detected minimum model sizes of [3]
% 1.39/0.76 % Detected maximum model sizes of [max]
% 1.39/0.76 % TRYING [3]
% 1.39/0.76 % (2730982)% WARNING: option uhcvi not known.
% 1.39/0.76 % (2730984)dis+10_1_sil=32000:sp=arity:random_seed=3512936688:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.39/0.76 % (2730982)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2625333994:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.39/0.76 % (2730983)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2026147077:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.39/0.76 % TRYING [4]
% 1.39/0.76 % (2730985)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2083155265:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.39/0.76 % (2730986)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=13407863:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.39/0.76 % (2730987)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1436868409:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.39/0.76 % TRYING [5]
% 1.39/0.76 % (2730985)Instruction limit reached!
% 1.39/0.76 % (2730985)------------------------------
% 1.39/0.76 % (2730985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.76 % (2730985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.76 % (2730985)CaDiCaL version: 2.1.3
% 1.39/0.76 % (2730985)Termination reason: Instruction limit
% 1.39/0.76 % (2730985)Termination phase: Saturation
% 1.39/0.76 % (2730985)Time elapsed: 0.087 s
% 1.39/0.76 % (2730985)Peak memory usage: 13 MB
% 1.39/0.76 % (2730985)Instructions burned: 118 (million)
% 1.39/0.76 % (2730984)Instruction limit reached!
% 1.39/0.76 % (2730984)------------------------------
% 1.39/0.76 % (2730984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.76 % (2730984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.76 % (2730984)CaDiCaL version: 2.1.3
% 1.39/0.76 % (2730984)Termination reason: Instruction limit
% 1.39/0.76 % (2730984)Termination phase: Saturation
% 1.39/0.76 % (2730984)Time elapsed: 0.103 s
% 1.39/0.76 % (2730984)Peak memory usage: 12 MB
% 1.39/0.76 % (2730984)Instructions burned: 103 (million)
% 1.39/0.76 % (2730997)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3677286435:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.39/0.76 % TRYING [6]
% 1.39/0.76 % Detected minimum model sizes of [3]
% 1.39/0.76 % Detected maximum model sizes of [max]
% 1.39/0.76 % TRYING [3]
% 1.39/0.76 % TRYING [4]
% 1.39/0.76 % (2730986)Instruction limit reached!
% 1.39/0.76 % (2730986)------------------------------
% 1.39/0.76 % (2730986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.76 % (2730986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.76 % (2730986)CaDiCaL version: 2.1.3
% 1.39/0.76 % (2730986)Termination reason: Instruction limit
% 1.39/0.76 % (2730986)Termination phase: Saturation
% 1.39/0.76 % (2730986)Time elapsed: 0.129 s
% 1.39/0.76 % (2730986)Peak memory usage: 14 MB
% 1.39/0.76 % (2730986)Instructions burned: 131 (million)
% 1.39/0.76 % (2730998)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1874568269:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.39/0.76 % TRYING [5]
% 1.39/0.76 % (2730987)Instruction limit reached!
% 1.39/0.76 % (2730987)------------------------------
% 1.39/0.76 % (2730987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.76 % (2730987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.76 % (2730987)CaDiCaL version: 2.1.3
% 1.39/0.76 % (2730987)Termination reason: Instruction limit
% 1.39/0.76 % (2730987)Termination phase: Saturation
% 1.39/0.76 % (2730987)Time elapsed: 0.158 s
% 1.39/0.76 % (2730987)Peak memory usage: 14 MB
% 1.39/0.76 % (2730987)Instructions burned: 159 (million)
% 1.39/0.76 % (2731001)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=3507820724:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.39/0.76 % (2731004)ott-21_1_sil=16000:fs=off:random_seed=652667449:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.39/0.76 % (2730982) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2730976-2730982"...
% 1.39/0.76 % (2730982)...printing done.
% 1.39/0.76 % (2730982)Refutation found. Thanks to Tanya!
% 1.39/0.76 % SZS status Theorem for theBenchmark
% 1.39/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.77 % (2730982)------------------------------
% 1.39/0.77 % (2730982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.77 % (2730982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.77 % (2730982)CaDiCaL version: 2.1.3
% 1.39/0.77 % (2730982)Termination reason: Refutation
% 1.39/0.77 % (2730982)Time elapsed: 0.202 s
% 1.39/0.77 % (2730982)Peak memory usage: 15 MB
% 1.39/0.77 % (2730982)Instructions burned: 203 (million)
% 1.39/0.77 % (2730976)Success in time 0.246 s
% 1.39/0.77 % Vampire exiting
%------------------------------------------------------------------------------