%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM474+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 : n014.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 12:24:27 PM UTC 2026
% Result : Theorem 45.20s 6.80s
% Output : Refutation 45.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of formulae : 135 ( 38 unt; 6 def)
% Number of atoms : 383 ( 94 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 379 ( 131 ~; 204 |; 22 &)
% ( 15 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 99 ( 0 sgn 96 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
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(f34,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,axiom,
xl != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1347) ).
fof(f37,axiom,
xp = sdtsldt0(xm,xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1360) ).
fof(f38,axiom,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1379) ).
fof(f39,axiom,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1395) ).
fof(f40,axiom,
xr = sdtmndt0(xq,xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1422) ).
fof(f41,conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f42,negated_conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f43,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(flattening,[],[f42]) ).
fof(f45,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f45]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f60]) ).
fof(f70,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f71,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f73,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f72]) ).
fof(f95,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(f96,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,[],[f95]) ).
fof(f104,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f125,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f126,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtmndt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f73]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f96]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f96]) ).
fof(f155,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f156,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f157,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f158,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f159,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f160,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f161,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f162,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f163,plain,
sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f39]) ).
fof(f164,plain,
xr = sdtmndt0(xq,xp),
inference(cnf_transformation,[],[f40]) ).
fof(f165,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
inference(cnf_transformation,[],[f43]) ).
fof(f166,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f127]) ).
fof(f167,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f130]) ).
fof(f173,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f151]) ).
fof(f174,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f150]) ).
fof(f177,plain,
! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| aNaturalNumber0(X0)
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f104]) ).
fof(f189,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| aNaturalNumber0(X1)
| aNaturalNumber0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f198,plain,
! [X2,X0] :
( aNaturalNumber0(sdtpldt0(X0,X2))
| aNaturalNumber0(X0)
| aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f199,plain,
! [X0,X1] :
( ~ aNaturalNumber0(sK0(X0,X1))
| aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f200,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| aNaturalNumber0(X0)
| sdtpldt0(X0,sK0(X0,X1)) = X1
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f125]) ).
fof(f201,plain,
! [X2,X0] :
( aNaturalNumber0(sdtpldt0(X0,X2))
| aNaturalNumber0(X0)
| sdtlseqdt0(X0,sdtpldt0(X0,X2))
| aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(consistent_polarity_flipping,[],[f167]) ).
fof(f224,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f225,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f228,plain,
~ aNaturalNumber0(xl),
inference(consistent_polarity_flipping,[],[f157]) ).
fof(f229,plain,
~ aNaturalNumber0(xm),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f230,plain,
~ aNaturalNumber0(xn),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f231,plain,
~ sdtlseqdt0(xp,xq),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f335,definition,
( spl2_1
<=> aNaturalNumber0(xq) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f336,plain,
( ~ aNaturalNumber0(xq)
| spl2_1 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl2_2
<=> aNaturalNumber0(xp) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f340,plain,
( ~ aNaturalNumber0(xp)
| spl2_2 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f362,definition,
( spl2_4
<=> aNaturalNumber0(sdtpldt0(xm,xn)) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f364,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f390,plain,
! [X2,X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| aNaturalNumber0(X2)
| aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f198,f177]) ).
fof(f425,plain,
( aNaturalNumber0(xp)
| xq = sdtpldt0(xp,sK0(xp,xq))
| aNaturalNumber0(xq) ),
inference(resolution,[],[f200,f231]) ).
fof(f440,definition,
( spl2_6
<=> xq = sdtpldt0(xp,sK0(xp,xq)) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f442,plain,
( xq = sdtpldt0(xp,sK0(xp,xq))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f443,plain,
( spl2_1
| spl2_6
| spl2_2 ),
inference(avatar_split_clause,[],[f425,f339,f440,f335]) ).
fof(f483,plain,
( aNaturalNumber0(xl)
| aNaturalNumber0(xm)
| sz00 = xl
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(resolution,[],[f224,f159]) ).
fof(f484,plain,
( aNaturalNumber0(xl)
| aNaturalNumber0(sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl)) ),
inference(resolution,[],[f224,f158]) ).
fof(f488,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| sz00 = xl
| ~ aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl)) ),
inference(forward_subsumption_resolution,[],[f484,f228]) ).
fof(f489,plain,
( aNaturalNumber0(xm)
| sz00 = xl
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[],[f483,f228]) ).
fof(f490,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl)) ),
inference(forward_subsumption_resolution,[],[f488,f160]) ).
fof(f491,plain,
( sz00 = xl
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[],[f489,f229]) ).
fof(f492,plain,
( ~ aNaturalNumber0(xq)
| aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_demodulation,[],[f490,f162]) ).
fof(f493,plain,
~ aNaturalNumber0(sdtsldt0(xm,xl)),
inference(forward_subsumption_resolution,[],[f491,f160]) ).
fof(f495,plain,
~ aNaturalNumber0(xp),
inference(forward_demodulation,[],[f493,f161]) ).
fof(f497,plain,
~ spl2_2,
inference(avatar_split_clause,[],[f495,f339]) ).
fof(f683,plain,
( aNaturalNumber0(xm)
| aNaturalNumber0(xn)
| ~ spl2_4 ),
inference(resolution,[],[f364,f177]) ).
fof(f684,plain,
( aNaturalNumber0(xn)
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f683,f229]) ).
fof(f685,plain,
( $false
| ~ spl2_4 ),
inference(forward_subsumption_resolution,[],[f684,f230]) ).
fof(f686,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f688,plain,
( spl2_4
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f492,f335,f362]) ).
fof(f734,plain,
( aNaturalNumber0(xl)
| aNaturalNumber0(xm)
| sz00 = xl
| xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(resolution,[],[f225,f159]) ).
fof(f735,plain,
( aNaturalNumber0(xl)
| aNaturalNumber0(sdtpldt0(xm,xn))
| sz00 = xl
| sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) ),
inference(resolution,[],[f225,f158]) ).
fof(f745,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| sz00 = xl
| sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) ),
inference(forward_subsumption_resolution,[],[f735,f228]) ).
fof(f746,plain,
( aNaturalNumber0(xm)
| sz00 = xl
| xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[],[f734,f228]) ).
fof(f753,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) ),
inference(forward_subsumption_resolution,[],[f745,f160]) ).
fof(f754,plain,
( sz00 = xl
| xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[],[f746,f229]) ).
fof(f755,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_demodulation,[],[f753,f162]) ).
fof(f756,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(forward_subsumption_resolution,[],[f754,f160]) ).
fof(f758,definition,
( spl2_13
<=> sdtpldt0(xm,xn) = sdtasdt0(xl,xq) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f760,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f761,plain,
( spl2_4
| spl2_13 ),
inference(avatar_split_clause,[],[f755,f758,f362]) ).
fof(f762,plain,
xm = sdtasdt0(xl,xp),
inference(forward_demodulation,[],[f756,f161]) ).
fof(f810,plain,
! [X0,X1] :
( aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| sdtasdt0(xl,sdtpldt0(X1,X0)) = sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X0)) ),
inference(resolution,[],[f189,f228]) ).
fof(f1035,plain,
! [X2,X0] :
( aNaturalNumber0(X0)
| sdtlseqdt0(X0,sdtpldt0(X0,X2))
| aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f201,f177]) ).
fof(f1036,plain,
! [X2,X0] :
( aNaturalNumber0(X0)
| aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f1035,f390]) ).
fof(f1045,plain,
( ! [X0] :
( aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(xp,X0),xp) = X0 )
| spl2_2 ),
inference(resolution,[],[f1036,f340]) ).
fof(f2405,plain,
sdtpldt0(xm,xn) != sdtpldt0(xm,sdtasdt0(xl,xr)),
inference(superposition,[],[f165,f762]) ).
fof(f2556,definition,
( spl2_56
<=> aNaturalNumber0(sK0(xp,xq)) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
fof(f2557,plain,
( ~ aNaturalNumber0(sK0(xp,xq))
| spl2_56 ),
inference(avatar_component_clause,[],[f2556]) ).
fof(f2558,plain,
( aNaturalNumber0(sK0(xp,xq))
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f2556]) ).
fof(f2777,plain,
( aNaturalNumber0(xp)
| aNaturalNumber0(xq)
| sdtlseqdt0(xp,xq)
| ~ spl2_56 ),
inference(resolution,[],[f2558,f199]) ).
fof(f2778,plain,
( aNaturalNumber0(xq)
| sdtlseqdt0(xp,xq)
| spl2_2
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f2777,f340]) ).
fof(f2779,plain,
( sdtlseqdt0(xp,xq)
| spl2_1
| spl2_2
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f2778,f336]) ).
fof(f2780,plain,
( $false
| spl2_1
| spl2_2
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f2779,f231]) ).
fof(f2781,plain,
( spl2_1
| spl2_2
| ~ spl2_56 ),
inference(avatar_contradiction_clause,[],[f2780]) ).
fof(f6449,plain,
( sdtasdt0(xl,xq) != sdtpldt0(xm,sdtasdt0(xl,xr))
| ~ spl2_13 ),
inference(forward_demodulation,[],[f2405,f760]) ).
fof(f15630,plain,
( ! [X0] :
( aNaturalNumber0(X0)
| sdtasdt0(xl,sdtpldt0(xp,X0)) = sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,X0)) )
| spl2_2 ),
inference(resolution,[],[f810,f340]) ).
fof(f15661,plain,
( ! [X0] :
( aNaturalNumber0(X0)
| sdtpldt0(xm,sdtasdt0(xl,X0)) = sdtasdt0(xl,sdtpldt0(xp,X0)) )
| spl2_2 ),
inference(forward_demodulation,[],[f15630,f762]) ).
fof(f67189,plain,
( sK0(xp,xq) = sdtmndt0(sdtpldt0(xp,sK0(xp,xq)),xp)
| spl2_2
| spl2_56 ),
inference(resolution,[],[f1045,f2557]) ).
fof(f67225,plain,
( sdtmndt0(xq,xp) = sK0(xp,xq)
| spl2_2
| ~ spl2_6
| spl2_56 ),
inference(forward_demodulation,[],[f67189,f442]) ).
fof(f84478,plain,
( xr = sK0(xp,xq)
| spl2_2
| ~ spl2_6
| spl2_56 ),
inference(forward_demodulation,[],[f67225,f164]) ).
fof(f294436,plain,
( sdtpldt0(xm,sdtasdt0(xl,sK0(xp,xq))) = sdtasdt0(xl,sdtpldt0(xp,sK0(xp,xq)))
| spl2_2
| spl2_56 ),
inference(resolution,[],[f15661,f2557]) ).
fof(f294497,plain,
( sdtasdt0(xl,xq) = sdtpldt0(xm,sdtasdt0(xl,sK0(xp,xq)))
| spl2_2
| ~ spl2_6
| spl2_56 ),
inference(forward_demodulation,[],[f294436,f442]) ).
fof(f294570,plain,
( sdtasdt0(xl,xq) = sdtpldt0(xm,sdtasdt0(xl,xr))
| spl2_2
| ~ spl2_6
| spl2_56 ),
inference(forward_demodulation,[],[f294497,f84478]) ).
fof(f294633,plain,
( $false
| spl2_2
| ~ spl2_6
| ~ spl2_13
| spl2_56 ),
inference(forward_subsumption_resolution,[],[f294570,f6449]) ).
fof(f294634,plain,
( spl2_2
| ~ spl2_6
| ~ spl2_13
| spl2_56 ),
inference(avatar_contradiction_clause,[],[f294633]) ).
cnf(s3,plain,
( spl2_1
| spl2_2
| spl2_6 ),
inference(sat_conversion,[],[f443]) ).
cnf(s6,plain,
~ spl2_2,
inference(sat_conversion,[],[f497]) ).
cnf(s9,plain,
~ spl2_4,
inference(sat_conversion,[],[f686]) ).
cnf(s10,plain,
( ~ spl2_1
| spl2_4 ),
inference(sat_conversion,[],[f688]) ).
cnf(s13,plain,
( spl2_4
| spl2_13 ),
inference(sat_conversion,[],[f761]) ).
cnf(s80,plain,
( spl2_1
| spl2_2
| ~ spl2_56 ),
inference(sat_conversion,[],[f2781]) ).
cnf(s6777,plain,
( spl2_2
| ~ spl2_6
| ~ spl2_13
| spl2_56 ),
inference(sat_conversion,[],[f294634]) ).
cnf(s7232,plain,
spl2_13,
inference(rat,[],[s13,s9]) ).
cnf(s7233,plain,
~ spl2_1,
inference(rat,[],[s10,s9]) ).
cnf(s7408,plain,
~ spl2_56,
inference(rat,[],[s80,s7233,s6]) ).
cnf(s7506,plain,
~ spl2_6,
inference(rat,[],[s6777,s6,s7232,s7408]) ).
cnf(s7525,plain,
$false,
inference(rat,[],[s3,s7506,s6,s7233]) ).
fof(f294731,plain,
$false,
inference(avatar_sat_refutation,[],[s7525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM474+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 20:05:03 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.85/2.60 % (1129560)Will run a generic schedule for satisfiability detection.
% 14.85/2.60 % (1129565)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3864926458_2999 on theBenchmark for (2999ds/0Mi)
% 14.85/2.60 % TRYING [1]
% 14.85/2.60 % TRYING [2]
% 14.85/2.60 % TRYING [3]
% 14.85/2.60 % (1129566)% WARNING: option uhcvi not known.
% 14.85/2.60 % TRYING [4]
% 14.85/2.60 % (1129567)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2059726127:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.85/2.60 % (1129568)dis+10_1_sil=32000:sp=arity:random_seed=1343185924:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.85/2.60 % (1129569)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3166614305:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.85/2.60 % (1129570)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=272859086:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.85/2.60 % (1129571)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2796120524:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.85/2.60 % (1129566)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2759486591:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.85/2.60 % TRYING [5]
% 14.85/2.60 % TRYING [6]
% 14.85/2.60 % (1129568)Instruction limit reached!
% 14.85/2.60 % (1129568)------------------------------
% 14.85/2.60 % (1129568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.60 % (1129568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.60 % (1129568)CaDiCaL version: 2.1.3
% 14.85/2.60 % (1129568)Termination reason: Instruction limit
% 14.85/2.60 % (1129568)Termination phase: Saturation
% 14.85/2.60 % (1129568)Time elapsed: 0.060 s
% 14.85/2.60 % (1129568)Peak memory usage: 12 MB
% 14.85/2.60 % (1129568)Instructions burned: 103 (million)
% 14.85/2.60 % (1129569)Instruction limit reached!
% 14.85/2.60 % (1129569)------------------------------
% 14.85/2.60 % (1129569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.60 % (1129569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.60 % (1129569)CaDiCaL version: 2.1.3
% 14.85/2.60 % (1129569)Termination reason: Instruction limit
% 14.85/2.60 % (1129569)Termination phase: Saturation
% 14.85/2.60 % (1129569)Time elapsed: 0.066 s
% 14.85/2.60 % (1129569)Peak memory usage: 13 MB
% 14.85/2.60 % (1129569)Instructions burned: 117 (million)
% 14.85/2.60 % (1129570)Instruction limit reached!
% 14.85/2.60 % (1129570)------------------------------
% 14.85/2.60 % (1129570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.60 % (1129570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.60 % (1129570)CaDiCaL version: 2.1.3
% 14.85/2.60 % (1129570)Termination reason: Instruction limit
% 14.85/2.60 % (1129570)Termination phase: Saturation
% 14.85/2.60 % (1129570)Time elapsed: 0.077 s
% 14.85/2.60 % (1129570)Peak memory usage: 13 MB
% 14.85/2.60 % (1129570)Instructions burned: 132 (million)
% 14.85/2.60 % (1129579)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=771813465:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.85/2.60 % TRYING [1]
% 14.85/2.60 % (1129580)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2128715994:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.85/2.60 % TRYING [2]
% 14.85/2.60 % TRYING [3]
% 14.85/2.60 % (1129571)Instruction limit reached!
% 14.85/2.60 % (1129571)------------------------------
% 14.85/2.60 % (1129571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.85/2.60 % (1129571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.85/2.60 % (1129571)CaDiCaL version: 2.1.3
% 14.85/2.60 % (1129571)Termination reason: Instruction limit
% 14.85/2.60 % (1129571)Termination phase: Saturation
% 14.85/2.60 % (1129571)Time elapsed: 0.093 s
% 14.85/2.60 % (1129571)Peak memory usage: 15 MB
% 14.85/2.60 % (1129571)Instructions burned: 160 (million)
% 14.85/2.60 % TRYING [4]
% 14.85/2.60 % (1129581)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=1127572099:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.85/2.60 % (1129584)ott-21_1_sil=16000:fs=off:random_seed=986544152:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.85/2.60 % TRYING [5]
% 14.85/2.60 % TRYING [7]
% 14.85/2.60 % (1129580)Instruction limit reached!
% 14.85/2.60 % (1129580)------------------------------
% 14.85/2.60 % (1129580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129580)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129580)Termination reason: Instruction limit
% 44.67/6.80 % (1129580)Termination phase: Saturation
% 44.67/6.80 % (1129580)Time elapsed: 0.069 s
% 44.67/6.80 % (1129580)Peak memory usage: 12 MB
% 44.67/6.80 % (1129580)Instructions burned: 132 (million)
% 44.67/6.80 % (1129587)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3193709022:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 44.67/6.80 % TRYING [6]
% 44.67/6.80 % (1129584)Instruction limit reached!
% 44.67/6.80 % (1129584)------------------------------
% 44.67/6.80 % (1129584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129584)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129584)Termination reason: Instruction limit
% 44.67/6.80 % (1129584)Termination phase: Saturation
% 44.67/6.80 % (1129584)Time elapsed: 0.093 s
% 44.67/6.80 % (1129584)Peak memory usage: 13 MB
% 44.67/6.80 % (1129584)Instructions burned: 180 (million)
% 44.67/6.80 % (1129589)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=503655889:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 44.67/6.80 % TRYING [1]
% 44.67/6.80 % TRYING [2]
% 44.67/6.80 % TRYING [3]
% 44.67/6.80 % TRYING [4]
% 44.67/6.80 % TRYING [5]
% 44.67/6.80 % TRYING [8]
% 44.67/6.80 % (1129579)Instruction limit reached!
% 44.67/6.80 % (1129579)------------------------------
% 44.67/6.80 % (1129579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129579)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129579)Termination reason: Instruction limit
% 44.67/6.80 % (1129579)Termination phase: Finite model building SAT solving
% 44.67/6.80 % (1129579)Time elapsed: 0.279 s
% 44.67/6.80 % (1129579)Peak memory usage: 34 MB
% 44.67/6.80 % (1129579)Instructions burned: 714 (million)
% 44.67/6.80 % (1129591)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1695616493:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 44.67/6.80 % (1129581)Instruction limit reached!
% 44.67/6.80 % (1129581)------------------------------
% 44.67/6.80 % (1129581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129581)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129581)Termination reason: Instruction limit
% 44.67/6.80 % (1129581)Termination phase: Saturation
% 44.67/6.80 % (1129581)Time elapsed: 0.393 s
% 44.67/6.80 % (1129581)Peak memory usage: 19 MB
% 44.67/6.80 % (1129581)Instructions burned: 685 (million)
% 44.67/6.80 % (1129587)Instruction limit reached!
% 44.67/6.80 % (1129587)------------------------------
% 44.67/6.80 % (1129587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129587)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129587)Termination reason: Instruction limit
% 44.67/6.80 % (1129587)Termination phase: Saturation
% 44.67/6.80 % (1129587)Time elapsed: 0.321 s
% 44.67/6.80 % (1129587)Peak memory usage: 15 MB
% 44.67/6.80 % (1129587)Instructions burned: 477 (million)
% 44.67/6.80 % (1129593)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4248375766:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 44.67/6.80 % (1129594)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=1990265135: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)
% 44.67/6.80 % TRYING [6]
% 44.67/6.80 % (1129589)Instruction limit reached!
% 44.67/6.80 % (1129589)------------------------------
% 44.67/6.80 % (1129589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129589)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129589)Termination reason: Instruction limit
% 44.67/6.80 % (1129589)Termination phase: Finite model building constraint generation
% 44.67/6.80 % (1129589)Time elapsed: 0.341 s
% 44.67/6.80 % (1129589)Peak memory usage: 21 MB
% 44.67/6.80 % (1129589)Instructions burned: 866 (million)
% 44.67/6.80 % (1129597)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3583763587:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 44.67/6.80 % TRYING [14]
% 44.67/6.80 % TRYING [9]
% 44.67/6.80 % (1129593)Instruction limit reached!
% 44.67/6.80 % (1129593)------------------------------
% 44.67/6.80 % (1129593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129593)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129593)Termination reason: Instruction limit
% 44.67/6.80 % (1129593)Termination phase: Finite model building constraint generation
% 44.67/6.80 % (1129593)Time elapsed: 0.338 s
% 44.67/6.80 % (1129593)Peak memory usage: 73 MB
% 44.67/6.80 % (1129593)Instructions burned: 891 (million)
% 44.67/6.80 % (1129599)fmb+10_1_sil=64000:random_seed=1598360702:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 44.67/6.80 % TRYING [1]
% 44.67/6.80 % TRYING [2]
% 44.67/6.80 % TRYING [3]
% 44.67/6.80 % TRYING [4]
% 44.67/6.80 % (1129594)Instruction limit reached!
% 44.67/6.80 % (1129594)------------------------------
% 44.67/6.80 % (1129594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129594)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129594)Termination reason: Instruction limit
% 44.67/6.80 % (1129594)Termination phase: Saturation
% 44.67/6.80 % (1129594)Time elapsed: 0.398 s
% 44.67/6.80 % (1129594)Peak memory usage: 22 MB
% 44.67/6.80 % (1129594)Instructions burned: 692 (million)
% 44.67/6.80 % (1129601)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=839166752:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 44.67/6.80 % TRYING [20]
% 44.67/6.80 % TRYING [5]
% 44.67/6.80 % (1129591)Instruction limit reached!
% 44.67/6.80 % (1129591)------------------------------
% 44.67/6.80 % (1129591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129591)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129591)Termination reason: Instruction limit
% 44.67/6.80 % (1129591)Termination phase: Saturation
% 44.67/6.80 % (1129591)Time elapsed: 0.627 s
% 44.67/6.80 % (1129591)Peak memory usage: 23 MB
% 44.67/6.80 % (1129591)Instructions burned: 1180 (million)
% 44.67/6.80 % (1129603)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=160511568:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 44.67/6.80 % TRYING [8]
% 44.67/6.80 % (1129597)Instruction limit reached!
% 44.67/6.80 % (1129597)------------------------------
% 44.67/6.80 % (1129597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129597)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129597)Termination reason: Instruction limit
% 44.67/6.80 % (1129597)Termination phase: Saturation
% 44.67/6.80 % (1129597)Time elapsed: 0.500 s
% 44.67/6.80 % (1129597)Peak memory usage: 20 MB
% 44.67/6.80 % (1129597)Instructions burned: 880 (million)
% 44.67/6.80 % (1129605)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3767243596:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 44.67/6.80 % TRYING [6]
% 44.67/6.80 % (1129603)Instruction limit reached!
% 44.67/6.80 % (1129603)------------------------------
% 44.67/6.80 % (1129603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129603)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129603)Termination reason: Instruction limit
% 44.67/6.80 % (1129603)Termination phase: Finite model building constraint generation
% 44.67/6.80 % (1129603)Time elapsed: 0.340 s
% 44.67/6.80 % (1129603)Peak memory usage: 66 MB
% 44.67/6.80 % (1129603)Instructions burned: 922 (million)
% 44.67/6.80 % (1129607)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1686828470:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 44.67/6.80 % TRYING [10]
% 44.67/6.80 % TRYING [7]
% 44.67/6.80 % (1129607)Instruction limit reached!
% 44.67/6.80 % (1129607)------------------------------
% 44.67/6.80 % (1129607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129607)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129607)Termination reason: Instruction limit
% 44.67/6.80 % (1129607)Termination phase: Saturation
% 44.67/6.80 % (1129607)Time elapsed: 0.733 s
% 44.67/6.80 % (1129607)Peak memory usage: 28 MB
% 44.67/6.80 % (1129607)Instructions burned: 1473 (million)
% 44.67/6.80 % (1129609)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4224826351:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 44.67/6.80 % TRYING [77]
% 44.67/6.80 % TRYING [8]
% 44.67/6.80 % TRYING [11]
% 44.67/6.80 % (1129605)Instruction limit reached!
% 44.67/6.80 % (1129605)------------------------------
% 44.67/6.80 % (1129605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.67/6.80 % (1129605)CaDiCaL version: 2.1.3
% 44.67/6.80 % (1129605)Termination reason: Instruction limit
% 44.67/6.80 % (1129605)Termination phase: Saturation
% 44.67/6.80 % (1129605)Time elapsed: 2.666 s
% 44.67/6.80 % (1129605)Peak memory usage: 49 MB
% 44.67/6.80 % (1129605)Instructions burned: 5131 (million)
% 44.67/6.80 % (1129612)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=17831204:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 44.67/6.80 % TRYING [16]
% 44.67/6.80 % (1129601)Instruction limit reached!
% 44.67/6.80 % (1129601)------------------------------
% 44.67/6.80 % (1129601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.67/6.80 % (1129601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.20/6.80 % (1129601)CaDiCaL version: 2.1.3
% 45.20/6.80 % (1129601)Termination reason: Instruction limit
% 45.20/6.80 % (1129601)Termination phase: Finite model building constraint generation
% 45.20/6.80 % (1129601)Time elapsed: 3.312 s
% 45.20/6.80 % (1129601)Peak memory usage: 573 MB
% 45.20/6.80 % (1129601)Instructions burned: 9516 (million)
% 45.20/6.80 % (1129614)ott-2_1_sil=16000:newcnf=on:random_seed=1044051219:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 45.20/6.80 % (1129609)Instruction limit reached!
% 45.20/6.80 % (1129609)------------------------------
% 45.20/6.80 % (1129609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.20/6.80 % (1129609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.20/6.80 % (1129609)CaDiCaL version: 2.1.3
% 45.20/6.80 % (1129609)Termination reason: Instruction limit
% 45.20/6.80 % (1129609)Termination phase: Finite model building constraint generation
% 45.20/6.80 % (1129609)Time elapsed: 2.232 s
% 45.20/6.80 % (1129609)Peak memory usage: 430 MB
% 45.20/6.80 % (1129609)Instructions burned: 6327 (million)
% 45.20/6.80 % (1129616)ott+10_1_sil=32000:tgt=ground:random_seed=1043665962:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 45.20/6.80 % (1129612)Instruction limit reached!
% 45.20/6.80 % (1129612)------------------------------
% 45.20/6.80 % (1129612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.20/6.80 % (1129612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.20/6.80 % (1129612)CaDiCaL version: 2.1.3
% 45.20/6.80 % (1129612)Termination reason: Instruction limit
% 45.20/6.80 % (1129612)Termination phase: Finite model building constraint generation
% 45.20/6.80 % (1129612)Time elapsed: 0.757 s
% 45.20/6.80 % (1129612)Peak memory usage: 146 MB
% 45.20/6.80 % (1129612)Instructions burned: 2177 (million)
% 45.20/6.80 % (1129618)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2421707636:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 45.20/6.80 % TRYING [1]
% 45.20/6.80 % TRYING [2]
% 45.20/6.80 % TRYING [3]
% 45.20/6.80 % TRYING [4]
% 45.20/6.80 % TRYING [5]
% 45.20/6.80 % TRYING [6]
% 45.20/6.80 % (1129614)Instruction limit reached!
% 45.20/6.80 % (1129614)------------------------------
% 45.20/6.80 % (1129614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.20/6.80 % (1129614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.20/6.80 % (1129614)CaDiCaL version: 2.1.3
% 45.20/6.80 % (1129614)Termination reason: Instruction limit
% 45.20/6.80 % (1129614)Termination phase: Saturation
% 45.20/6.80 % (1129614)Time elapsed: 0.453 s
% 45.20/6.80 % (1129614)Peak memory usage: 23 MB
% 45.20/6.80 % (1129614)Instructions burned: 869 (million)
% 45.20/6.80 % (1129620)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3529308936:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 45.20/6.80 % TRYING [7]
% 45.20/6.80 % TRYING [8]
% 45.20/6.80 % TRYING [9]
% 45.20/6.80 % TRYING [9]
% 45.20/6.80 % (1129566) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1129560-1129566"...
% 45.20/6.80 % (1129566)...printing done.
% 45.20/6.80 % (1129566)Refutation found. Thanks to Tanya!
% 45.20/6.80 % SZS status Theorem for theBenchmark
% 45.20/6.80 % SZS output start Proof for theBenchmark
% See solution above
% 45.20/6.80 % (1129566)------------------------------
% 45.20/6.80 % (1129566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.20/6.80 % (1129566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.20/6.80 % (1129566)CaDiCaL version: 2.1.3
% 45.20/6.80 % (1129566)Termination reason: Refutation
% 45.20/6.80 % (1129566)Time elapsed: 6.295 s
% 45.20/6.80 % (1129566)Peak memory usage: 109 MB
% 45.20/6.80 % (1129566)Instructions burned: 12553 (million)
% 45.20/6.80 % (1129560)Success in time 6.392 s
% 45.20/6.80 % Vampire exiting
%------------------------------------------------------------------------------