%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM574+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:15:48 PM UTC 2026
% Result : Theorem 2.24s 6.51s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 90 ( 19 unt; 5 def)
% Number of atoms : 263 ( 40 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 287 ( 114 ~; 115 |; 39 &)
% ( 6 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 53 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(f75,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f81,axiom,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(f83,axiom,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786) ).
fof(f85,axiom,
( ( sdtlseqdt0(xj,xi)
& ? [X0] :
( aElementOf0(X0,szNzAzT0)
& szszuzczcdt0(X0) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3786_02) ).
fof(f86,conjecture,
( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f87,negated_conjecture,
~ ( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
inference(negated_conjecture,[status(cth)],[f86]) ).
fof(f96,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f97,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f96]) ).
fof(f101,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| ~ sdtlseqdt0(xj,xi)
| ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi ) ),
inference(ennf_transformation,[],[f85]) ).
fof(f102,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| ~ sdtlseqdt0(xj,xi)
| ! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi ) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
& sdtlseqdt0(xj,xi) ),
inference(ennf_transformation,[],[f87]) ).
fof(f112,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f134,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f135,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f136,plain,
! [X0] :
( X0 = sz00
| ? [X1] :
( aElementOf0(X1,szNzAzT0)
& X0 = szszuzczcdt0(X1) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f135]) ).
fof(f160,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f161,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f160]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f167]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f168]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK4(X0,X1),X0)
& aElementOf0(sK4(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f169]) ).
fof(f181,plain,
! [X0] :
( X0 = sz00
| ( aElementOf0(sK12(X0),szNzAzT0)
& szszuzczcdt0(sK12(X0)) = X0 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X1,sK12(X0))],[f136]) ).
fof(f197,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f211,plain,
xS = sdtlpdtrp0(xN,sz00),
inference(cnf_transformation,[],[f97]) ).
fof(f216,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f217,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f83]) ).
fof(f219,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| ~ sdtlseqdt0(xj,xi)
| ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(X0) != xi ),
inference(cnf_transformation,[],[f102]) ).
fof(f220,plain,
sdtlseqdt0(xj,xi),
inference(cnf_transformation,[],[f103]) ).
fof(f221,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f103]) ).
fof(f224,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f228,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f230,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f263,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f264,plain,
! [X0] :
( szszuzczcdt0(sK12(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f265,plain,
! [X0] :
( aElementOf0(sK12(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f296,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f302,definition,
~ sP17(xi),
introduced(definition,[new_symbols(definition,[sP17])],[inequality_splitting_name_introduction]) ).
fof(f303,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| ~ sdtlseqdt0(xj,xi)
| ~ aElementOf0(X0,szNzAzT0)
| sP17(szszuzczcdt0(X0)) ),
inference(inequality_splitting,[],[f219,f302]) ).
fof(f326,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| ~ aElementOf0(X0,szNzAzT0)
| sP17(szszuzczcdt0(X0)) ),
inference(duplicate_literal_removal,[],[f303]) ).
fof(f327,plain,
! [X0] :
( ~ sdtlseqdt0(xj,xi)
| ~ aElementOf0(X0,szNzAzT0)
| sP17(szszuzczcdt0(X0)) ),
inference(forward_subsumption_resolution,[],[f326,f221]) ).
fof(f330,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sP17(szszuzczcdt0(X0)) ),
inference(forward_subsumption_resolution,[],[f327,f220]) ).
fof(f333,plain,
( ~ sdtlseqdt0(xi,xj)
| xj = xi
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[],[f220,f296]) ).
fof(f336,plain,
( ~ sdtlseqdt0(xi,xj)
| xj = xi
| ~ aElementOf0(xj,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f333,f216]) ).
fof(f338,plain,
( ~ sdtlseqdt0(xi,xj)
| xj = xi ),
inference(forward_subsumption_resolution,[],[f336,f217]) ).
fof(f340,definition,
( spl22_1
<=> xj = xi ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f342,plain,
( xj = xi
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f344,definition,
( spl22_2
<=> sdtlseqdt0(xi,xj) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f346,plain,
( ~ sdtlseqdt0(xi,xj)
| spl22_2 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f347,plain,
( spl22_1
| ~ spl22_2 ),
inference(avatar_split_clause,[],[f338,f344,f340]) ).
fof(f354,plain,
! [X0] :
( sP17(szszuzczcdt0(sK12(X0)))
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[],[f330,f265]) ).
fof(f387,definition,
( spl22_8
<=> aSet0(xS) ),
introduced(definition,[new_symbols(definition,[spl22_8])],[avatar_definition]) ).
fof(f388,plain,
( aSet0(xS)
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f405,plain,
! [X0] :
( sP17(X0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f354,f264]) ).
fof(f406,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sz00 = X0
| sP17(X0) ),
inference(duplicate_literal_removal,[],[f405]) ).
fof(f453,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f197,f230]) ).
fof(f460,plain,
aSet0(xS),
inference(forward_subsumption_resolution,[],[f453,f224]) ).
fof(f473,plain,
spl22_8,
inference(avatar_split_clause,[],[f460,f387]) ).
fof(f495,plain,
( sz00 = xi
| sP17(xi) ),
inference(resolution,[],[f216,f406]) ).
fof(f501,plain,
sz00 = xi,
inference(forward_subsumption_resolution,[],[f495,f302]) ).
fof(f506,plain,
sdtlseqdt0(sz00,xj),
inference(resolution,[],[f217,f263]) ).
fof(f513,definition,
( spl22_19
<=> sz00 = xj ),
introduced(definition,[new_symbols(definition,[spl22_19])],[avatar_definition]) ).
fof(f515,plain,
( sz00 = xj
| ~ spl22_19 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f573,plain,
( ~ sdtlseqdt0(sz00,xj)
| spl22_2 ),
inference(superposition,[],[f346,f501]) ).
fof(f577,plain,
( $false
| spl22_2 ),
inference(forward_subsumption_resolution,[],[f573,f506]) ).
fof(f578,plain,
spl22_2,
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f580,plain,
( sz00 = xj
| ~ spl22_1 ),
inference(forward_demodulation,[],[f342,f501]) ).
fof(f582,plain,
( spl22_19
| ~ spl22_1 ),
inference(avatar_split_clause,[],[f580,f340,f513]) ).
fof(f627,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,sz00))
| ~ spl22_19 ),
inference(superposition,[],[f221,f515]) ).
fof(f634,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| ~ spl22_19 ),
inference(forward_demodulation,[],[f627,f211]) ).
fof(f635,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sz00),xS)
| ~ spl22_19 ),
inference(forward_demodulation,[],[f634,f501]) ).
fof(f636,plain,
( ~ aSubsetOf0(xS,xS)
| ~ spl22_19 ),
inference(forward_demodulation,[],[f635,f211]) ).
fof(f717,plain,
( ~ aSet0(xS)
| ~ spl22_19 ),
inference(resolution,[],[f636,f228]) ).
fof(f718,plain,
( $false
| ~ spl22_8
| ~ spl22_19 ),
inference(forward_subsumption_resolution,[],[f717,f388]) ).
fof(f719,plain,
( ~ spl22_8
| ~ spl22_19 ),
inference(avatar_contradiction_clause,[],[f718]) ).
cnf(s1,plain,
( spl22_1
| ~ spl22_2 ),
inference(sat_conversion,[],[f347]) ).
cnf(s9,plain,
spl22_8,
inference(sat_conversion,[],[f473]) ).
cnf(s15,plain,
spl22_2,
inference(sat_conversion,[],[f578]) ).
cnf(s16,plain,
( ~ spl22_1
| spl22_19 ),
inference(sat_conversion,[],[f582]) ).
cnf(s22,plain,
( ~ spl22_8
| ~ spl22_19 ),
inference(sat_conversion,[],[f719]) ).
cnf(s23,plain,
~ spl22_19,
inference(rat,[],[s22,s9]) ).
cnf(s25,plain,
~ spl22_1,
inference(rat,[],[s16,s23]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s1,s15,s25]) ).
fof(f720,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM574+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.60 % Computer : n026.cluster.edu
% 0.11/5.60 % Model : x86_64 x86_64
% 0.11/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.60 % Memory : 8046.5625MB
% 0.11/5.60 % OS : Linux 6.8.0-71-generic
% 0.11/5.60 % CPULimit : 300
% 0.11/5.60 % WCLimit : 300
% 0.11/5.60 % DateTime : Sun Sep 27 20:36:34 UTC 2026
% 0.11/5.61 % CPUTime :
% 0.11/5.61 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.64 Running first-order theorem proving
% 0.11/5.64 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.24/6.51 % (3188470)Detected formulas, will run a generic FOF schedule.
% 2.24/6.51 % (3188477)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3037091202:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.24/6.51 % (3188480)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4269689174:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.24/6.51 % (3188479)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3613964889:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.24/6.51 % (3188478)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1444159531:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.24/6.51 % (3188475)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1716154327:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.24/6.51 % (3188481)dis-21_1_sil=8000:lcm=predicate:random_seed=1104237835:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.24/6.51 % (3188476)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1330248395:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.24/6.51 % (3188478)First to succeed.
% 2.24/6.51 % (3188478)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3188470"
% 2.24/6.51 % (3188479)Also succeeded, but the first one will report.
% 2.24/6.51 % (3188481)Instruction limit reached!
% 2.24/6.51 % (3188481)------------------------------
% 2.24/6.51 % (3188481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/6.51 % (3188481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/6.51 % (3188481)CaDiCaL version: 2.1.3
% 2.24/6.51 % (3188481)Termination reason: Instruction limit
% 2.24/6.51 % (3188481)Termination phase: Saturation
% 2.24/6.51 % (3188481)Time elapsed: 0.064 s
% 2.24/6.51 % (3188481)Peak memory usage: 88 MB
% 2.24/6.51 % (3188481)Instructions burned: 134 (million)
% 2.24/6.51 % (3188480)Instruction limit reached!
% 2.24/6.51 % (3188480)------------------------------
% 2.24/6.51 % (3188480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/6.51 % (3188480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/6.51 % (3188480)CaDiCaL version: 2.1.3
% 2.24/6.51 % (3188480)Termination reason: Instruction limit
% 2.24/6.51 % (3188480)Termination phase: Saturation
% 2.24/6.51 % (3188480)Time elapsed: 0.109 s
% 2.24/6.51 % (3188480)Peak memory usage: 90 MB
% 2.24/6.51 % (3188480)Instructions burned: 140 (million)
% 2.24/6.51 % (3188489)lrs+10_1_sil=8000:sp=occurrence:random_seed=3472493883:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.24/6.51 % (3188489)Also succeeded, but the first one will report.
% 2.24/6.51 % (3188490)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1383568979:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.24/6.51 % (3188490)Refutation not found, incomplete strategy
% 2.24/6.51 % (3188490)------------------------------
% 2.24/6.51 % (3188490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/6.51 % (3188490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/6.51 % (3188490)CaDiCaL version: 2.1.3
% 2.24/6.51 % (3188490)Termination reason: Refutation not found, incomplete strategy
% 2.24/6.51 % (3188490)Time elapsed: 0.004 s
% 2.24/6.51 % (3188490)Peak memory usage: 89 MB
% 2.24/6.51 % (3188490)Instructions burned: 4 (million)
% 2.24/6.51 % (3188478)Refutation found. Thanks to Tanya!
% 2.24/6.51 % SZS status Theorem for theBenchmark
% 2.24/6.51 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/6.70 % (3188478)------------------------------
% 3.68/6.70 % (3188478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/6.70 % (3188478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/6.70 % (3188478)CaDiCaL version: 2.1.3
% 3.68/6.70 % (3188478)Termination reason: Refutation
% 3.68/6.70 % (3188478)Time elapsed: 0.015 s
% 3.68/6.70 % (3188478)Peak memory usage: 90 MB
% 3.68/6.70 % (3188478)Instructions burned: 20 (million)
% 3.68/6.70 % (3188478)------------------------------
% 3.68/6.70 % (3188478)------------------------------
% 3.68/6.70 % (3188470)Success in time 0.426 s
% 3.68/6.70 % Vampire exiting
%------------------------------------------------------------------------------