%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM586+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:24:55 PM UTC 2026
% Result : Theorem 4.29s 1.06s
% Output : Refutation 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 81 ( 31 unt; 8 def)
% Number of atoms : 244 ( 74 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 279 ( 116 ~; 108 |; 43 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 12 con; 0-3 aty)
% Number of variables : 78 ( 0 sgn 65 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( X2 = sdtlcdtrc0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).
fof(f86,axiom,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X0))
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X1] :
( ( aSet0(X1)
& aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(f87,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200) ).
fof(f88,axiom,
aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4200_02) ).
fof(f89,conjecture,
? [X0] :
( aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f90,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) = xx ),
inference(negated_conjecture,[status(cth)],[f89]) ).
fof(f107,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f184,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = sdtlcdtrc0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 ) ) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f208,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( ( aFunction0(sdtlpdtrp0(xC,X0))
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f209,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X0] :
( ( aFunction0(sdtlpdtrp0(xC,X0))
& szDzozmdt0(sdtlpdtrp0(xC,X0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)
& ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| xx != sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f267,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = sdtlcdtrc0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 ) )
& ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(nnf_transformation,[],[f190]) ).
fof(f268,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = sdtlcdtrc0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 ) )
& ( ? [X4] :
( aElementOf0(X4,X1)
& sdtlpdtrp0(X0,X4) = X3 )
| ~ aElementOf0(X3,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f267]) ).
fof(f269,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = sdtlcdtrc0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != X3 )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( aElementOf0(X5,X1)
& sdtlpdtrp0(X0,X5) = X3 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( ~ aElementOf0(X7,X1)
| sdtlpdtrp0(X0,X7) != X6 ) )
& ( ? [X8] :
( aElementOf0(X8,X1)
& sdtlpdtrp0(X0,X8) = X6 )
| ~ aElementOf0(X6,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(rectify,[],[f268]) ).
fof(f270,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = sdtlcdtrc0(X0,X1)
| ~ aSet0(X2)
| ( ( ! [X4] :
( ~ aElementOf0(X4,X1)
| sdtlpdtrp0(X0,X4) != sK17(X0,X1,X2) )
| ~ aElementOf0(sK17(X0,X1,X2),X2) )
& ( ( aElementOf0(sK18(X0,X1,X2),X1)
& sK17(X0,X1,X2) = sdtlpdtrp0(X0,sK18(X0,X1,X2)) )
| aElementOf0(sK17(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( ~ aElementOf0(X7,X1)
| sdtlpdtrp0(X0,X7) != X6 ) )
& ( ( aElementOf0(sK19(X0,X1,X6),X1)
& sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6 )
| ~ aElementOf0(X6,X2) ) ) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X3,sK17(X0,X1,X2)),skolemize(X5,sK18(X0,X1,X2)),skolemize(X8,sK19(X0,X1,X6))],[f269]) ).
fof(f289,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f391,plain,
! [X0] :
( ~ aFunction0(X0)
| aSet0(szDzozmdt0(X0)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f401,plain,
! [X2,X0,X1,X6] :
( sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f402,plain,
! [X2,X0,X1,X6] :
( aElementOf0(sK19(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f447,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f448,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aFunction0(sdtlpdtrp0(xC,X0)) ),
inference(cnf_transformation,[],[f209]) ).
fof(f451,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f87]) ).
fof(f452,plain,
aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))),
inference(cnf_transformation,[],[f88]) ).
fof(f453,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| xx != sdtlpdtrp0(sdtlpdtrp0(xC,xi),X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f484,plain,
! [X0,X1,X6] :
( aElementOf0(sK19(X0,X1,X6),X1)
| ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f402]) ).
fof(f485,plain,
! [X0,X1,X6] :
( ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
| sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f401]) ).
fof(f491,definition,
sF25 = sdtlpdtrp0(xN,xi),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f492,plain,
sdtlpdtrp0(xN,xi) = sF25,
inference(reorient_equations,[],[f491]) ).
fof(f493,definition,
sF26 = szmzizndt0(sF25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f494,plain,
szmzizndt0(sF25) = sF26,
inference(reorient_equations,[],[f493]) ).
fof(f495,definition,
sF27 = sdtmndt0(sF25,sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f496,plain,
sdtmndt0(sF25,sF26) = sF27,
inference(reorient_equations,[],[f495]) ).
fof(f497,definition,
sF28 = slbdtsldtrb0(sF27,xk),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f498,plain,
slbdtsldtrb0(sF27,xk) = sF28,
inference(reorient_equations,[],[f497]) ).
fof(f499,definition,
sF29 = sdtlpdtrp0(xC,xi),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f500,plain,
sdtlpdtrp0(xC,xi) = sF29,
inference(reorient_equations,[],[f499]) ).
fof(f501,definition,
! [X0] : sF30(X0) = sdtlpdtrp0(sF29,X0),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f502,plain,
! [X0] : sdtlpdtrp0(sF29,X0) = sF30(X0),
inference(reorient_equations,[],[f501]) ).
fof(f503,plain,
! [X0] :
( xx != sF30(X0)
| ~ aElementOf0(X0,sF28) ),
inference(definition_folding,[],[f453,f502,f500,f498,f496,f494,f492,f492]) ).
fof(f600,plain,
aFunction0(sdtlpdtrp0(xC,xi)),
inference(resolution,[],[f448,f451]) ).
fof(f601,plain,
aFunction0(sF29),
inference(forward_demodulation,[],[f600,f500]) ).
fof(f603,plain,
aSet0(szDzozmdt0(sF29)),
inference(resolution,[],[f601,f391]) ).
fof(f929,plain,
aElementOf0(xx,sdtlcdtrc0(sF29,szDzozmdt0(sF29))),
inference(superposition,[],[f452,f500]) ).
fof(f2672,plain,
szDzozmdt0(sdtlpdtrp0(xC,xi)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk),
inference(resolution,[],[f447,f451]) ).
fof(f3213,plain,
( xx = sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK19(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)),xx))
| ~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ~ aFunction0(sdtlpdtrp0(xC,xi)) ),
inference(resolution,[],[f485,f452]) ).
fof(f3237,plain,
( xx = sdtlpdtrp0(sF29,sK19(sF29,szDzozmdt0(sF29),xx))
| ~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ~ aFunction0(sdtlpdtrp0(xC,xi)) ),
inference(forward_demodulation,[],[f3213,f500]) ).
fof(f3238,plain,
( xx = sF30(sK19(sF29,szDzozmdt0(sF29),xx))
| ~ aSubsetOf0(szDzozmdt0(sdtlpdtrp0(xC,xi)),szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ~ aFunction0(sdtlpdtrp0(xC,xi)) ),
inference(forward_demodulation,[],[f3237,f502]) ).
fof(f3239,plain,
( ~ aSubsetOf0(szDzozmdt0(sF29),szDzozmdt0(sF29))
| xx = sF30(sK19(sF29,szDzozmdt0(sF29),xx))
| ~ aFunction0(sdtlpdtrp0(xC,xi)) ),
inference(forward_demodulation,[],[f3238,f500]) ).
fof(f3240,plain,
( ~ aFunction0(sF29)
| ~ aSubsetOf0(szDzozmdt0(sF29),szDzozmdt0(sF29))
| xx = sF30(sK19(sF29,szDzozmdt0(sF29),xx)) ),
inference(forward_demodulation,[],[f3239,f500]) ).
fof(f3241,plain,
( ~ aSubsetOf0(szDzozmdt0(sF29),szDzozmdt0(sF29))
| xx = sF30(sK19(sF29,szDzozmdt0(sF29),xx)) ),
inference(forward_subsumption_resolution,[],[f3240,f601]) ).
fof(f3243,definition,
( spl31_108
<=> xx = sF30(sK19(sF29,szDzozmdt0(sF29),xx)) ),
introduced(definition,[new_symbols(definition,[spl31_108])],[avatar_definition]) ).
fof(f3245,plain,
( xx = sF30(sK19(sF29,szDzozmdt0(sF29),xx))
| ~ spl31_108 ),
inference(avatar_component_clause,[],[f3243]) ).
fof(f3247,definition,
( spl31_109
<=> aSubsetOf0(szDzozmdt0(sF29),szDzozmdt0(sF29)) ),
introduced(definition,[new_symbols(definition,[spl31_109])],[avatar_definition]) ).
fof(f3248,plain,
( aSubsetOf0(szDzozmdt0(sF29),szDzozmdt0(sF29))
| ~ spl31_109 ),
inference(avatar_component_clause,[],[f3247]) ).
fof(f3249,plain,
( ~ aSubsetOf0(szDzozmdt0(sF29),szDzozmdt0(sF29))
| spl31_109 ),
inference(avatar_component_clause,[],[f3247]) ).
fof(f3250,plain,
( spl31_108
| ~ spl31_109 ),
inference(avatar_split_clause,[],[f3241,f3247,f3243]) ).
fof(f3816,plain,
( ~ aSet0(szDzozmdt0(sF29))
| spl31_109 ),
inference(resolution,[],[f3249,f289]) ).
fof(f3817,plain,
( $false
| spl31_109 ),
inference(forward_subsumption_resolution,[],[f3816,f603]) ).
fof(f3818,plain,
spl31_109,
inference(avatar_contradiction_clause,[],[f3817]) ).
fof(f6811,plain,
szDzozmdt0(sdtlpdtrp0(xC,xi)) = slbdtsldtrb0(sdtmndt0(sF25,szmzizndt0(sF25)),xk),
inference(forward_demodulation,[],[f2672,f492]) ).
fof(f6952,plain,
szDzozmdt0(sdtlpdtrp0(xC,xi)) = slbdtsldtrb0(sdtmndt0(sF25,sF26),xk),
inference(forward_demodulation,[],[f6811,f494]) ).
fof(f6978,plain,
szDzozmdt0(sdtlpdtrp0(xC,xi)) = slbdtsldtrb0(sF27,xk),
inference(forward_demodulation,[],[f6952,f496]) ).
fof(f6993,plain,
szDzozmdt0(sdtlpdtrp0(xC,xi)) = sF28,
inference(forward_demodulation,[],[f6978,f498]) ).
fof(f7007,plain,
sF28 = szDzozmdt0(sF29),
inference(forward_demodulation,[],[f6993,f500]) ).
fof(f7379,plain,
( xx != xx
| ~ aElementOf0(sK19(sF29,szDzozmdt0(sF29),xx),sF28)
| ~ spl31_108 ),
inference(superposition,[],[f503,f3245]) ).
fof(f7380,plain,
( ~ aElementOf0(sK19(sF29,szDzozmdt0(sF29),xx),sF28)
| ~ spl31_108 ),
inference(trivial_inequality_removal,[],[f7379]) ).
fof(f7381,plain,
( ~ aElementOf0(sK19(sF29,szDzozmdt0(sF29),xx),szDzozmdt0(sF29))
| ~ spl31_108 ),
inference(forward_demodulation,[],[f7380,f7007]) ).
fof(f7382,plain,
( ~ aElementOf0(xx,sdtlcdtrc0(sF29,szDzozmdt0(sF29)))
| ~ aSubsetOf0(szDzozmdt0(sF29),szDzozmdt0(sF29))
| ~ aFunction0(sF29)
| ~ spl31_108 ),
inference(resolution,[],[f7381,f484]) ).
fof(f7387,plain,
( ~ aSubsetOf0(szDzozmdt0(sF29),szDzozmdt0(sF29))
| ~ aFunction0(sF29)
| ~ spl31_108 ),
inference(forward_subsumption_resolution,[],[f7382,f929]) ).
fof(f7406,plain,
( ~ aFunction0(sF29)
| ~ spl31_108
| ~ spl31_109 ),
inference(forward_subsumption_resolution,[],[f7387,f3248]) ).
fof(f7407,plain,
( $false
| ~ spl31_108
| ~ spl31_109 ),
inference(forward_subsumption_resolution,[],[f7406,f601]) ).
fof(f7408,plain,
( ~ spl31_108
| ~ spl31_109 ),
inference(avatar_contradiction_clause,[],[f7407]) ).
cnf(s94,plain,
( spl31_108
| ~ spl31_109 ),
inference(sat_conversion,[],[f3250]) ).
cnf(s107,plain,
spl31_109,
inference(sat_conversion,[],[f3818]) ).
cnf(s235,plain,
( ~ spl31_108
| ~ spl31_109 ),
inference(sat_conversion,[],[f7408]) ).
cnf(s237,plain,
~ spl31_108,
inference(rat,[],[s235,s107]) ).
cnf(s240,plain,
$false,
inference(rat,[],[s94,s107,s237]) ).
fof(f7409,plain,
$false,
inference(avatar_sat_refutation,[],[s240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM586+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:40:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.29/1.06 % (1990554)Will run a generic schedule for satisfiability detection.
% 4.29/1.06 % (1990560)% WARNING: option uhcvi not known.
% 4.29/1.06 % (1990560)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2391416518:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.29/1.06 % (1990559)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=422603656_2999 on theBenchmark for (2999ds/0Mi)
% 4.29/1.06 % (1990561)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4021861173:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.29/1.06 % (1990562)dis+10_1_sil=32000:sp=arity:random_seed=2749549794:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.29/1.06 % (1990563)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3348952114:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.29/1.06 % (1990565)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3644326664:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.29/1.06 % (1990564)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3970911417:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.29/1.06 % TRYING [1]
% 4.29/1.06 % TRYING [2]
% 4.29/1.06 % TRYING [3]
% 4.29/1.06 % TRYING [4]
% 4.29/1.06 % (1990562)Instruction limit reached!
% 4.29/1.06 % (1990562)------------------------------
% 4.29/1.06 % (1990562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.06 % (1990562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.06 % (1990562)CaDiCaL version: 2.1.3
% 4.29/1.06 % (1990562)Termination reason: Instruction limit
% 4.29/1.06 % (1990562)Termination phase: Saturation
% 4.29/1.06 % (1990562)Time elapsed: 0.068 s
% 4.29/1.06 % (1990562)Peak memory usage: 13 MB
% 4.29/1.06 % (1990562)Instructions burned: 104 (million)
% 4.29/1.06 % (1990563)Instruction limit reached!
% 4.29/1.06 % (1990563)------------------------------
% 4.29/1.06 % (1990563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.06 % (1990563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.06 % (1990563)CaDiCaL version: 2.1.3
% 4.29/1.06 % (1990563)Termination reason: Instruction limit
% 4.29/1.06 % (1990563)Termination phase: Saturation
% 4.29/1.06 % (1990563)Time elapsed: 0.075 s
% 4.29/1.06 % (1990563)Peak memory usage: 13 MB
% 4.29/1.06 % (1990563)Instructions burned: 116 (million)
% 4.29/1.06 % (1990564)Instruction limit reached!
% 4.29/1.06 % (1990564)------------------------------
% 4.29/1.06 % (1990564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.06 % (1990564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.06 % (1990564)CaDiCaL version: 2.1.3
% 4.29/1.06 % (1990564)Termination reason: Instruction limit
% 4.29/1.06 % (1990564)Termination phase: Saturation
% 4.29/1.06 % (1990564)Time elapsed: 0.078 s
% 4.29/1.06 % (1990564)Peak memory usage: 13 MB
% 4.29/1.06 % (1990564)Instructions burned: 132 (million)
% 4.29/1.06 % (1990573)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=879951991:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 4.29/1.06 % (1990574)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1851259200:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.29/1.06 % (1990575)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=4287207278:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.29/1.06 % TRYING [1]
% 4.29/1.06 % TRYING [2]
% 4.29/1.06 % TRYING [3]
% 4.29/1.06 % (1990565)Instruction limit reached!
% 4.29/1.06 % (1990565)------------------------------
% 4.29/1.06 % (1990565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.06 % (1990565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.06 % (1990565)CaDiCaL version: 2.1.3
% 4.29/1.06 % (1990565)Termination reason: Instruction limit
% 4.29/1.06 % (1990565)Termination phase: Saturation
% 4.29/1.06 % (1990565)Time elapsed: 0.112 s
% 4.29/1.06 % (1990565)Peak memory usage: 14 MB
% 4.29/1.06 % (1990565)Instructions burned: 159 (million)
% 4.29/1.06 % TRYING [5]
% 4.29/1.06 % (1990579)ott-21_1_sil=16000:fs=off:random_seed=3119195188:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.29/1.06 % TRYING [4]
% 4.29/1.06 % (1990574)Instruction limit reached!
% 4.29/1.06 % (1990574)------------------------------
% 4.29/1.06 % (1990574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.06 % (1990574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.06 % (1990574)CaDiCaL version: 2.1.3
% 4.29/1.06 % (1990574)Termination reason: Instruction limit
% 4.29/1.06 % (1990574)Termination phase: Saturation
% 4.29/1.06 % (1990574)Time elapsed: 0.088 s
% 4.29/1.06 % (1990574)Peak memory usage: 13 MB
% 4.29/1.06 % (1990574)Instructions burned: 131 (million)
% 4.29/1.06 % TRYING [5]
% 4.29/1.06 % (1990581)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3511735023:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.29/1.06 % (1990579)Instruction limit reached!
% 4.29/1.06 % (1990579)------------------------------
% 4.29/1.06 % (1990579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.06 % (1990579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.06 % (1990579)CaDiCaL version: 2.1.3
% 4.29/1.06 % (1990579)Termination reason: Instruction limit
% 4.29/1.06 % (1990579)Termination phase: Saturation
% 4.29/1.06 % (1990579)Time elapsed: 0.099 s
% 4.29/1.06 % (1990579)Peak memory usage: 13 MB
% 4.29/1.06 % (1990579)Instructions burned: 181 (million)
% 4.29/1.06 % (1990583)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=605903146:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.29/1.06 % TRYING [1]
% 4.29/1.06 % TRYING [6]
% 4.29/1.06 % TRYING [2]
% 4.29/1.06 % TRYING [3]
% 4.29/1.06 % TRYING [6]
% 4.29/1.06 % (1990573)Instruction limit reached!
% 4.29/1.06 % (1990573)------------------------------
% 4.29/1.06 % (1990573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.06 % (1990573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.06 % (1990573)CaDiCaL version: 2.1.3
% 4.29/1.06 % (1990573)Termination reason: Instruction limit
% 4.29/1.06 % (1990573)Termination phase: Finite model building constraint generation
% 4.29/1.06 % (1990573)Time elapsed: 0.294 s
% 4.29/1.06 % (1990573)Peak memory usage: 33 MB
% 4.29/1.06 % (1990573)Instructions burned: 715 (million)
% 4.29/1.06 % TRYING [4]
% 4.29/1.06 % (1990585)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=692602882:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.29/1.06 % (1990575)Instruction limit reached!
% 4.29/1.06 % (1990575)------------------------------
% 4.29/1.06 % (1990575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.06 % (1990575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.06 % (1990575)CaDiCaL version: 2.1.3
% 4.29/1.06 % (1990575)Termination reason: Instruction limit
% 4.29/1.06 % (1990575)Termination phase: Saturation
% 4.29/1.06 % (1990575)Time elapsed: 0.376 s
% 4.29/1.06 % (1990575)Peak memory usage: 20 MB
% 4.29/1.06 % (1990575)Instructions burned: 685 (million)
% 4.29/1.06 % (1990587)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4020324836:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.29/1.06 % (1990581)Instruction limit reached!
% 4.29/1.06 % (1990581)------------------------------
% 4.29/1.06 % (1990581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.06 % (1990581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.06 % (1990581)CaDiCaL version: 2.1.3
% 4.29/1.06 % (1990581)Termination reason: Instruction limit
% 4.29/1.06 % (1990581)Termination phase: Saturation
% 4.29/1.06 % (1990581)Time elapsed: 0.333 s
% 4.29/1.06 % (1990581)Peak memory usage: 15 MB
% 4.29/1.06 % (1990581)Instructions burned: 477 (million)
% 4.29/1.06 % (1990589)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=4229017880:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.29/1.06 % (1990585) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1990554-1990585"...
% 4.29/1.06 % (1990585)...printing done.
% 4.29/1.06 % (1990585)Refutation found. Thanks to Tanya!
% 4.29/1.06 % SZS status Theorem for theBenchmark
% 4.29/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 4.29/1.06 % (1990585)------------------------------
% 4.29/1.06 % (1990585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.29/1.06 % (1990585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.29/1.06 % (1990585)CaDiCaL version: 2.1.3
% 4.29/1.06 % (1990585)Termination reason: Refutation
% 4.29/1.06 % (1990585)Time elapsed: 0.181 s
% 4.29/1.06 % (1990585)Peak memory usage: 16 MB
% 4.29/1.06 % (1990585)Instructions burned: 294 (million)
% 4.29/1.06 % (1990554)Success in time 0.641 s
% 4.29/1.06 % Vampire exiting
%------------------------------------------------------------------------------