%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM501+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 : n008.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 12:24:33 PM UTC 2026
% Result : Theorem 4.85s 2.32s
% Output : Refutation 4.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 109 ( 25 unt; 5 def)
% Number of atoms : 356 ( 65 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 432 ( 185 ~; 198 |; 26 &)
% ( 14 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 80 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X1,X2) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
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/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& doDivides0(xr,xk)
& isPrime0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f49,conjecture,
doDivides0(xr,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f50,negated_conjecture,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f51,plain,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(flattening,[],[f50]) ).
fof(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f55]) ).
fof(f62,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f63,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f62]) ).
fof(f101,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f102,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f101]) ).
fof(f103,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(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(flattening,[],[f103]) ).
fof(f105,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f106,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f105]) ).
fof(f115,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(f116,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f115]) ).
fof(f122,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f104]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f104]) ).
fof(f174,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f185,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != X0
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f189,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f190,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f191,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f193,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f194,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f201,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f207,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f48]) ).
fof(f208,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f48]) ).
fof(f209,plain,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f51]) ).
fof(f215,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f170]) ).
fof(f217,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f172]) ).
fof(f218,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f171]) ).
fof(f219,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f185]) ).
fof(f222,plain,
~ isPrime0(sz00),
inference(forward_subsumption_resolution,[],[f219,f122]) ).
fof(f439,definition,
( spl4_2
<=> aNaturalNumber0(xk) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f440,plain,
( aNaturalNumber0(xk)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f460,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f215,f126]) ).
fof(f613,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtasdt0(sdtsldt0(X1,X0),X2) ),
inference(resolution,[],[f217,f131]) ).
fof(f619,plain,
( aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f217,f201]) ).
fof(f659,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[],[f174,f209]) ).
fof(f664,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f659,f208]) ).
fof(f666,definition,
( spl4_3
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f667,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f668,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_3 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f670,definition,
( spl4_4
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X0)
| ~ doDivides0(X0,sdtasdt0(xn,xm)) ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f671,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f672,plain,
( ~ spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f664,f670,f666]) ).
fof(f696,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_3 ),
inference(resolution,[],[f668,f126]) ).
fof(f697,plain,
( ~ aNaturalNumber0(xm)
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f696,f191]) ).
fof(f698,plain,
( $false
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f697,f190]) ).
fof(f699,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f984,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(resolution,[],[f218,f193]) ).
fof(f1005,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f984,f189]) ).
fof(f1015,plain,
( sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f1005,f667]) ).
fof(f1019,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| sz00 = xp
| ~ spl4_3 ),
inference(forward_demodulation,[],[f1015,f201]) ).
fof(f1992,definition,
( spl4_5
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f1993,plain,
( sz00 != xp
| spl4_5 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f1994,plain,
( sz00 = xp
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f1996,definition,
( spl4_6
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,xk) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f1998,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f1999,plain,
( spl4_5
| spl4_6
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f1019,f666,f1996,f1992]) ).
fof(f2003,plain,
( isPrime0(sz00)
| ~ spl4_5 ),
inference(superposition,[],[f194,f1994]) ).
fof(f2030,plain,
( $false
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f2003,f222]) ).
fof(f2031,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f2030]) ).
fof(f2036,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,xk))
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl4_4
| ~ spl4_6 ),
inference(superposition,[],[f671,f1998]) ).
fof(f2369,plain,
( aNaturalNumber0(xk)
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f619,f189]) ).
fof(f2374,plain,
( aNaturalNumber0(xk)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f2369,f193]) ).
fof(f2376,plain,
( aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f2374,f1993]) ).
fof(f2378,plain,
( aNaturalNumber0(xk)
| ~ spl4_3
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f2376,f667]) ).
fof(f2380,plain,
( spl4_2
| ~ spl4_3
| spl4_5 ),
inference(avatar_split_clause,[],[f2378,f1992,f666,f439]) ).
fof(f22500,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xp),X0) ),
inference(resolution,[],[f613,f193]) ).
fof(f22546,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xp),X0) )
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f22500,f1993]) ).
fof(f22584,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xp),X0) )
| ~ spl4_3
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f22546,f667]) ).
fof(f22612,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xp),X0) )
| ~ spl4_3
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f22584,f189]) ).
fof(f22634,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xk) = sdtasdt0(xk,X0) )
| ~ spl4_3
| spl4_5 ),
inference(forward_demodulation,[],[f22612,f201]) ).
fof(f31855,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xk,xp)
| ~ spl4_3
| spl4_5 ),
inference(resolution,[],[f22634,f189]) ).
fof(f32878,plain,
( doDivides0(xk,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ spl4_3
| spl4_5 ),
inference(superposition,[],[f460,f31855]) ).
fof(f32890,plain,
( doDivides0(xk,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xk)
| ~ spl4_3
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f32878,f189]) ).
fof(f32905,plain,
( doDivides0(xk,sdtasdt0(xp,xk))
| ~ spl4_2
| ~ spl4_3
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f32890,f440]) ).
fof(f33022,plain,
( ~ doDivides0(xr,xk)
| ~ aNaturalNumber0(xk)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(resolution,[],[f32905,f2036]) ).
fof(f33103,plain,
( ~ aNaturalNumber0(xk)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f33022,f207]) ).
fof(f33143,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f33103,f440]) ).
fof(f33144,plain,
( ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f33143]) ).
cnf(s2,plain,
( ~ spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f672]) ).
cnf(s3,plain,
spl4_3,
inference(sat_conversion,[],[f699]) ).
cnf(s4,plain,
( ~ spl4_3
| spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f1999]) ).
cnf(s9,plain,
~ spl4_5,
inference(sat_conversion,[],[f2031]) ).
cnf(s11,plain,
( spl4_2
| ~ spl4_3
| spl4_5 ),
inference(sat_conversion,[],[f2380]) ).
cnf(s53,plain,
( ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f33144]) ).
cnf(s79,plain,
( ~ spl4_3
| spl4_6 ),
inference(rat,[],[s4,s9]) ).
cnf(s80,plain,
spl4_2,
inference(rat,[],[s11,s9,s3]) ).
cnf(s81,plain,
spl4_6,
inference(rat,[],[s79,s3]) ).
cnf(s82,plain,
~ spl4_4,
inference(rat,[],[s53,s81,s9,s3,s80]) ).
cnf(s87,plain,
$false,
inference(rat,[],[s2,s82,s3]) ).
fof(f33160,plain,
$false,
inference(avatar_sat_refutation,[],[s87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM501+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:14:24 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 4.85/2.31 % (1571458)Will run a generic schedule for satisfiability detection.
% 4.85/2.31 % (1571467)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=350488878:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.85/2.31 % (1571464)% WARNING: option uhcvi not known.
% 4.85/2.31 % (1571463)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=478494461_2999 on theBenchmark for (2999ds/0Mi)
% 4.85/2.31 % (1571464)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=383141746:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.85/2.31 % (1571465)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=607349181:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.85/2.31 % (1571466)dis+10_1_sil=32000:sp=arity:random_seed=2532836921:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.85/2.31 % (1571468)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1281402906:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.85/2.31 % (1571469)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2772161425:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.85/2.31 % Detected minimum model sizes of [3]
% 4.85/2.31 % Detected maximum model sizes of [max]
% 4.85/2.31 % TRYING [3]
% 4.85/2.31 % TRYING [4]
% 4.85/2.31 % (1571467)Instruction limit reached!
% 4.85/2.31 % (1571467)------------------------------
% 4.85/2.31 % (1571467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.31 % (1571467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.31 % (1571467)CaDiCaL version: 2.1.3
% 4.85/2.31 % (1571467)Termination reason: Instruction limit
% 4.85/2.31 % (1571467)Termination phase: Saturation
% 4.85/2.31 % (1571467)Time elapsed: 0.038 s
% 4.85/2.31 % (1571467)Peak memory usage: 13 MB
% 4.85/2.31 % (1571467)Instructions burned: 119 (million)
% 4.85/2.31 % (1571477)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1539097815:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.85/2.31 % TRYING [5]
% 4.85/2.31 % Detected minimum model sizes of [3]
% 4.85/2.31 % Detected maximum model sizes of [max]
% 4.85/2.31 % TRYING [3]
% 4.85/2.31 % TRYING [4]
% 4.85/2.31 % (1571466)Instruction limit reached!
% 4.85/2.31 % (1571466)------------------------------
% 4.85/2.31 % (1571466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.31 % (1571466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.31 % (1571466)CaDiCaL version: 2.1.3
% 4.85/2.31 % (1571466)Termination reason: Instruction limit
% 4.85/2.31 % (1571466)Termination phase: Saturation
% 4.85/2.31 % (1571466)Time elapsed: 0.060 s
% 4.85/2.31 % (1571466)Peak memory usage: 12 MB
% 4.85/2.31 % (1571466)Instructions burned: 103 (million)
% 4.85/2.31 % TRYING [5]
% 4.85/2.31 % (1571468)Instruction limit reached!
% 4.85/2.31 % (1571468)------------------------------
% 4.85/2.31 % (1571468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.31 % (1571468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.31 % (1571468)CaDiCaL version: 2.1.3
% 4.85/2.31 % (1571468)Termination reason: Instruction limit
% 4.85/2.31 % (1571468)Termination phase: Saturation
% 4.85/2.31 % (1571468)Time elapsed: 0.076 s
% 4.85/2.31 % (1571468)Peak memory usage: 13 MB
% 4.85/2.31 % (1571468)Instructions burned: 131 (million)
% 4.85/2.31 % (1571479)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3153608993:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.85/2.31 % (1571480)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=902318491:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.85/2.31 % (1571469)Instruction limit reached!
% 4.85/2.31 % (1571469)------------------------------
% 4.85/2.31 % (1571469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.31 % (1571469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.31 % (1571469)CaDiCaL version: 2.1.3
% 4.85/2.31 % (1571469)Termination reason: Instruction limit
% 4.85/2.31 % (1571469)Termination phase: Saturation
% 4.85/2.31 % (1571469)Time elapsed: 0.096 s
% 4.85/2.31 % (1571469)Peak memory usage: 14 MB
% 4.85/2.31 % (1571469)Instructions burned: 160 (million)
% 4.85/2.31 % TRYING [6]
% 4.85/2.31 % (1571483)ott-21_1_sil=16000:fs=off:random_seed=2294867979:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.85/2.31 % TRYING [6]
% 4.85/2.31 % (1571479)Instruction limit reached!
% 4.85/2.31 % (1571479)------------------------------
% 4.85/2.31 % (1571479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.31 % (1571479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.31 % (1571479)CaDiCaL version: 2.1.3
% 4.85/2.31 % (1571479)Termination reason: Instruction limit
% 4.85/2.31 % (1571479)Termination phase: Saturation
% 4.85/2.31 % (1571479)Time elapsed: 0.070 s
% 4.85/2.31 % (1571479)Peak memory usage: 12 MB
% 4.85/2.31 % (1571479)Instructions burned: 132 (million)
% 4.85/2.31 % (1571485)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2505355947:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.85/2.31 % (1571477)Instruction limit reached!
% 4.85/2.31 % (1571477)------------------------------
% 4.85/2.31 % (1571477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.31 % (1571477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.31 % (1571477)CaDiCaL version: 2.1.3
% 4.85/2.31 % (1571477)Termination reason: Instruction limit
% 4.85/2.31 % (1571477)Termination phase: Finite model building constraint generation
% 4.85/2.31 % (1571477)Time elapsed: 0.138 s
% 4.85/2.31 % (1571477)Peak memory usage: 34 MB
% 4.85/2.31 % (1571477)Instructions burned: 715 (million)
% 4.85/2.31 % (1571487)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1620649231:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.85/2.31 % Detected minimum model sizes of [3]
% 4.85/2.31 % Detected maximum model sizes of [max]
% 4.85/2.31 % TRYING [3]
% 4.85/2.31 % TRYING [4]
% 4.85/2.31 % (1571483)Instruction limit reached!
% 4.85/2.31 % (1571483)------------------------------
% 4.85/2.31 % (1571483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.31 % (1571483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.31 % (1571483)CaDiCaL version: 2.1.3
% 4.85/2.31 % (1571483)Termination reason: Instruction limit
% 4.85/2.31 % (1571483)Termination phase: Saturation
% 4.85/2.31 % (1571483)Time elapsed: 0.094 s
% 4.85/2.31 % (1571483)Peak memory usage: 13 MB
% 4.85/2.31 % (1571483)Instructions burned: 180 (million)
% 4.85/2.31 % (1571489)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3784490459:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 4.85/2.31 % TRYING [5]
% 4.85/2.31 % TRYING [7]
% 4.85/2.31 % TRYING [6]
% 4.85/2.31 % (1571487)Instruction limit reached!
% 4.85/2.31 % (1571487)------------------------------
% 4.85/2.31 % (1571487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.31 % (1571487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.31 % (1571487)CaDiCaL version: 2.1.3
% 4.85/2.31 % (1571487)Termination reason: Instruction limit
% 4.85/2.31 % (1571487)Termination phase: Finite model building constraint generation
% 4.85/2.31 % (1571487)Time elapsed: 0.183 s
% 4.85/2.31 % (1571487)Peak memory usage: 22 MB
% 4.85/2.31 % (1571487)Instructions burned: 867 (million)
% 4.85/2.31 % (1571491)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=796952562:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.85/2.31 % TRYING [14]
% 4.85/2.31 % (1571485)Instruction limit reached!
% 4.85/2.31 % (1571485)------------------------------
% 4.85/2.31 % (1571485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.31 % (1571485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.31 % (1571485)CaDiCaL version: 2.1.3
% 4.85/2.31 % (1571485)Termination reason: Instruction limit
% 4.85/2.31 % (1571485)Termination phase: Saturation
% 4.85/2.31 % (1571485)Time elapsed: 0.317 s
% 4.85/2.31 % (1571485)Peak memory usage: 14 MB
% 4.85/2.31 % (1571485)Instructions burned: 477 (million)
% 4.85/2.31 % (1571480)Instruction limit reached!
% 4.85/2.31 % (1571480)------------------------------
% 4.85/2.31 % (1571480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.31 % (1571480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.31 % (1571480)CaDiCaL version: 2.1.3
% 4.85/2.31 % (1571480)Termination reason: Instruction limit
% 4.85/2.31 % (1571480)Termination phase: Saturation
% 4.85/2.31 % (1571480)Time elapsed: 0.398 s
% 4.85/2.31 % (1571480)Peak memory usage: 20 MB
% 4.85/2.31 % (1571480)Instructions burned: 685 (million)
% 4.85/2.31 % (1571493)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=421524156: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)
% 4.85/2.32 % (1571494)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1777997761:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 4.85/2.32 % (1571491)Instruction limit reached!
% 4.85/2.32 % (1571491)------------------------------
% 4.85/2.32 % (1571491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.32 % (1571491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.32 % (1571491)CaDiCaL version: 2.1.3
% 4.85/2.32 % (1571491)Termination reason: Instruction limit
% 4.85/2.32 % (1571491)Termination phase: Finite model building constraint generation
% 4.85/2.32 % (1571491)Time elapsed: 0.187 s
% 4.85/2.32 % (1571491)Peak memory usage: 79 MB
% 4.85/2.32 % (1571491)Instructions burned: 890 (million)
% 4.85/2.32 % (1571497)fmb+10_1_sil=64000:random_seed=9551042:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 4.85/2.32 % Detected minimum model sizes of [3]
% 4.85/2.32 % Detected maximum model sizes of [max]
% 4.85/2.32 % TRYING [3]
% 4.85/2.32 % TRYING [4]
% 4.85/2.32 % TRYING [5]
% 4.85/2.32 % TRYING [8]
% 4.85/2.32 % TRYING [6]
% 4.85/2.32 % (1571489)Instruction limit reached!
% 4.85/2.32 % (1571489)------------------------------
% 4.85/2.32 % (1571489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.32 % (1571489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.32 % (1571489)CaDiCaL version: 2.1.3
% 4.85/2.32 % (1571489)Termination reason: Instruction limit
% 4.85/2.32 % (1571489)Termination phase: Saturation
% 4.85/2.32 % (1571489)Time elapsed: 0.633 s
% 4.85/2.32 % (1571489)Peak memory usage: 25 MB
% 4.85/2.32 % (1571489)Instructions burned: 1179 (million)
% 4.85/2.32 % (1571499)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4188468128:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 4.85/2.32 % Detected minimum model sizes of [3]
% 4.85/2.32 % Detected maximum model sizes of [max]
% 4.85/2.32 % TRYING [20]
% 4.85/2.32 % (1571493)Instruction limit reached!
% 4.85/2.32 % (1571493)------------------------------
% 4.85/2.32 % (1571493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.32 % (1571493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.32 % (1571493)CaDiCaL version: 2.1.3
% 4.85/2.32 % (1571493)Termination reason: Instruction limit
% 4.85/2.32 % (1571493)Termination phase: Saturation
% 4.85/2.32 % (1571493)Time elapsed: 0.401 s
% 4.85/2.32 % (1571493)Peak memory usage: 22 MB
% 4.85/2.32 % (1571493)Instructions burned: 694 (million)
% 4.85/2.32 % (1571501)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2835326799:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 4.85/2.32 % Detected minimum model sizes of [3]
% 4.85/2.32 % Detected maximum model sizes of [max]
% 4.85/2.32 % TRYING [8]
% 4.85/2.32 % (1571494)Instruction limit reached!
% 4.85/2.32 % (1571494)------------------------------
% 4.85/2.32 % (1571494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.32 % (1571494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.32 % (1571494)CaDiCaL version: 2.1.3
% 4.85/2.32 % (1571494)Termination reason: Instruction limit
% 4.85/2.32 % (1571494)Termination phase: Saturation
% 4.85/2.32 % (1571494)Time elapsed: 0.491 s
% 4.85/2.32 % (1571494)Peak memory usage: 20 MB
% 4.85/2.32 % (1571494)Instructions burned: 881 (million)
% 4.85/2.32 % (1571503)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=761201294:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 4.85/2.32 % TRYING [7]
% 4.85/2.32 % (1571501)Instruction limit reached!
% 4.85/2.32 % (1571501)------------------------------
% 4.85/2.32 % (1571501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.32 % (1571501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.32 % (1571501)CaDiCaL version: 2.1.3
% 4.85/2.32 % (1571501)Termination reason: Instruction limit
% 4.85/2.32 % (1571501)Termination phase: Finite model building constraint generation
% 4.85/2.32 % (1571501)Time elapsed: 0.335 s
% 4.85/2.32 % (1571501)Peak memory usage: 67 MB
% 4.85/2.32 % (1571501)Instructions burned: 921 (million)
% 4.85/2.32 % (1571505)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4205999262:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 4.85/2.32 % TRYING [9]
% 4.85/2.32 % (1571503) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1571458-1571503"...
% 4.85/2.32 % (1571503)...printing done.
% 4.85/2.32 % (1571503)Refutation found. Thanks to Tanya!
% 4.85/2.32 % SZS status Theorem for theBenchmark
% 4.85/2.32 % SZS output start Proof for theBenchmark
% See solution above
% 4.85/2.32 % (1571503)------------------------------
% 4.85/2.32 % (1571503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.85/2.32 % (1571503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/2.32 % (1571503)CaDiCaL version: 2.1.3
% 4.85/2.32 % (1571503)Termination reason: Refutation
% 4.85/2.32 % (1571503)Time elapsed: 0.787 s
% 4.85/2.32 % (1571503)Peak memory usage: 24 MB
% 4.85/2.32 % (1571503)Instructions burned: 1502 (million)
% 4.85/2.32 % (1571458)Success in time 1.884 s
% 4.85/2.32 % Vampire exiting
%------------------------------------------------------------------------------