%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM476+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:15:21 PM UTC 2026
% Result : Theorem 2.48s 1.28s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 8
% Syntax : Number of formulae : 65 ( 19 unt; 2 def)
% Number of atoms : 279 ( 141 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 289 ( 75 ~; 61 |; 144 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 83 ( 47 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtpldt0(X0,X1) = sz00
=> ( X0 = sz00
& X1 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f34,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0) )
& doDivides0(xl,xm)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X0) )
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,conjecture,
( ( xl != sz00
=> ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0)
& X0 = sdtsldt0(xm,xl)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
& sdtlseqdt0(X0,X1)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1
& X2 = sdtmndt0(X1,X0)
& sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn)
& xn = sdtasdt0(xl,X2) ) ) ) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xl,X0) )
| doDivides0(xl,xn) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f37,negated_conjecture,
~ ( ( xl != sz00
=> ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0)
& X0 = sdtsldt0(xm,xl)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
& sdtlseqdt0(X0,X1)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1
& X2 = sdtmndt0(X1,X0)
& sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X2)) = sdtpldt0(sdtasdt0(xl,X0),xn)
& xn = sdtasdt0(xl,X2) ) ) ) )
=> ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xl,X0) )
| doDivides0(xl,xn) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0) )
& doDivides0(xl,xm)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1) )
& doDivides0(xl,sdtpldt0(xm,xn)) ),
inference(rectify,[],[f35]) ).
fof(f39,plain,
~ ( ( xl != sz00
=> ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0)
& X0 = sdtsldt0(xm,xl)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
& sdtlseqdt0(X0,X1)
& ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1
& sdtmndt0(X1,X0) = X3
& sdtpldt0(sdtasdt0(xl,X0),xn) = sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X3))
& xn = sdtasdt0(xl,X3) ) ) ) )
=> ( ? [X4] :
( aNaturalNumber0(X4)
& xn = sdtasdt0(xl,X4) )
| doDivides0(xl,xn) ) ),
inference(rectify,[],[f37]) ).
fof(f41,plain,
( ! [X4] :
( ~ aNaturalNumber0(X4)
| xn != sdtasdt0(xl,X4) )
& ~ doDivides0(xl,xn)
& ( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0)
& X0 = sdtsldt0(xm,xl)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
& sdtlseqdt0(X0,X1)
& ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1
& sdtmndt0(X1,X0) = X3
& sdtpldt0(sdtasdt0(xl,X0),xn) = sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X3))
& xn = sdtasdt0(xl,X3) ) ) )
| sz00 = xl ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f42,plain,
( ! [X4] :
( ~ aNaturalNumber0(X4)
| xn != sdtasdt0(xl,X4) )
& ~ doDivides0(xl,xn)
& ( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0)
& X0 = sdtsldt0(xm,xl)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
& sdtlseqdt0(X0,X1)
& ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1
& sdtmndt0(X1,X0) = X3
& sdtpldt0(sdtasdt0(xl,X0),xn) = sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X3))
& xn = sdtasdt0(xl,X3) ) ) )
| sz00 = xl ) ),
inference(flattening,[],[f41]) ).
fof(f71,plain,
! [X0,X1] :
( ( X0 = sz00
& X1 = sz00 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f72,plain,
! [X0,X1] :
( ( X0 = sz00
& X1 = sz00 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f71]) ).
fof(f75,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f92,definition,
! [X1,X0] :
( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1
& sdtmndt0(X1,X0) = X3
& sdtpldt0(sdtasdt0(xl,X0),xn) = sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X3))
& xn = sdtasdt0(xl,X3) )
| ~ sP0(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f93,definition,
! [X0] :
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
& sdtlseqdt0(X0,X1)
& sP0(X1,X0) )
| ~ sP1(X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f94,plain,
( ! [X4] :
( ~ aNaturalNumber0(X4)
| xn != sdtasdt0(xl,X4) )
& ~ doDivides0(xl,xn)
& ( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0)
& X0 = sdtsldt0(xm,xl)
& sP1(X0) )
| sz00 = xl ) ),
inference(definition_folding,[],[f42,f93,f92]) ).
fof(f95,plain,
( aNaturalNumber0(sK2)
& xm = sdtasdt0(xl,sK2)
& doDivides0(xl,xm)
& aNaturalNumber0(sK3)
& sdtpldt0(xm,xn) = sdtasdt0(xl,sK3)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f38]) ).
fof(f96,plain,
! [X0] :
( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
& X1 = sdtsldt0(sdtpldt0(xm,xn),xl)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
& sdtlseqdt0(X0,X1)
& sP0(X1,X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f93]) ).
fof(f97,plain,
! [X0] :
( ( aNaturalNumber0(sK4(X0))
& sdtpldt0(xm,xn) = sdtasdt0(xl,sK4(X0))
& sdtsldt0(sdtpldt0(xm,xn),xl) = sK4(X0)
& aNaturalNumber0(sK5(X0))
& sK4(X0) = sdtpldt0(X0,sK5(X0))
& sdtlseqdt0(X0,sK4(X0))
& sP0(sK4(X0),X0) )
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X1,sK4(X0)),skolemize(X2,sK5(X0))],[f96]) ).
fof(f98,plain,
! [X1,X0] :
( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1
& sdtmndt0(X1,X0) = X3
& sdtpldt0(sdtasdt0(xl,X0),xn) = sdtpldt0(sdtasdt0(xl,X0),sdtasdt0(xl,X3))
& xn = sdtasdt0(xl,X3) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f92]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X1,X2) = X0
& sdtmndt0(X0,X1) = X2
& sdtpldt0(sdtasdt0(xl,X1),xn) = sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X2))
& xn = sdtasdt0(xl,X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( ( aNaturalNumber0(sK6(X0,X1))
& sdtpldt0(X1,sK6(X0,X1)) = X0
& sdtmndt0(X0,X1) = sK6(X0,X1)
& sdtpldt0(sdtasdt0(xl,X1),xn) = sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,sK6(X0,X1)))
& xn = sdtasdt0(xl,sK6(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f99]) ).
fof(f101,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtasdt0(xl,X0) )
& ~ doDivides0(xl,xn)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xl,X1)
& sdtsldt0(xm,xl) = X1
& sP1(X1) )
| sz00 = xl ) ),
inference(rectify,[],[f94]) ).
fof(f102,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtasdt0(xl,X0) )
& ~ doDivides0(xl,xn)
& ( ( aNaturalNumber0(sK7)
& xm = sdtasdt0(xl,sK7)
& sdtsldt0(xm,xl) = sK7
& sP1(sK7) )
| sz00 = xl ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7)],[f101]) ).
fof(f113,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f114,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f115,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f117,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,sK3),
inference(cnf_transformation,[],[f95]) ).
fof(f118,plain,
aNaturalNumber0(sK3),
inference(cnf_transformation,[],[f95]) ).
fof(f120,plain,
xm = sdtasdt0(xl,sK2),
inference(cnf_transformation,[],[f95]) ).
fof(f121,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f95]) ).
fof(f122,plain,
! [X0] :
( sP0(sK4(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f129,plain,
! [X0,X1] :
( xn = sdtasdt0(xl,sK6(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f133,plain,
! [X0,X1] :
( aNaturalNumber0(sK6(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f134,plain,
( sz00 = xl
| sP1(sK7) ),
inference(cnf_transformation,[],[f102]) ).
fof(f139,plain,
! [X0] :
( xn != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f161,plain,
! [X0,X1] :
( sz00 = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f165,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f166,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f169,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f202,plain,
( xm != xn
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[],[f139,f120]) ).
fof(f203,plain,
xm != xn,
inference(forward_subsumption_resolution,[],[f202,f121]) ).
fof(f207,plain,
! [X0] :
( xl = sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0)
| sP1(sK7) ),
inference(superposition,[],[f165,f134]) ).
fof(f295,plain,
! [X0,X1] :
( xn != xn
| ~ aNaturalNumber0(sK6(X0,X1))
| ~ sP0(X0,X1) ),
inference(superposition,[],[f139,f129]) ).
fof(f297,plain,
! [X0,X1] :
( ~ aNaturalNumber0(sK6(X0,X1))
| ~ sP0(X0,X1) ),
inference(trivial_inequality_removal,[],[f295]) ).
fof(f298,plain,
! [X0,X1] : ~ sP0(X0,X1),
inference(forward_subsumption_resolution,[],[f297,f133]) ).
fof(f303,plain,
! [X0] : ~ sP1(X0),
inference(resolution,[],[f298,f122]) ).
fof(f327,plain,
! [X0] :
( xl = sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f207,f303]) ).
fof(f336,plain,
( xl = xm
| ~ aNaturalNumber0(sK2) ),
inference(superposition,[],[f120,f327]) ).
fof(f337,plain,
( xl = sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sK3) ),
inference(superposition,[],[f117,f327]) ).
fof(f341,plain,
( sz00 = xl
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f166,f327]) ).
fof(f345,plain,
( sz00 = xl
| ~ aNaturalNumber0(sz00) ),
inference(forward_subsumption_resolution,[],[f341,f115]) ).
fof(f347,plain,
xl = sdtpldt0(xm,xn),
inference(forward_subsumption_resolution,[],[f337,f118]) ).
fof(f348,plain,
xl = xm,
inference(forward_subsumption_resolution,[],[f336,f121]) ).
fof(f353,plain,
sz00 = xl,
inference(forward_subsumption_resolution,[],[f345,f169]) ).
fof(f471,plain,
sz00 = xm,
inference(forward_demodulation,[],[f353,f348]) ).
fof(f513,plain,
! [X0,X1] :
( xm = X1
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_demodulation,[],[f161,f471]) ).
fof(f514,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xm
| xm = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(forward_demodulation,[],[f513,f471]) ).
fof(f515,plain,
xm = sdtpldt0(xm,xn),
inference(forward_demodulation,[],[f347,f348]) ).
fof(f539,plain,
( xm != xm
| xm = xn
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f514,f515]) ).
fof(f541,plain,
( xm = xn
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(trivial_inequality_removal,[],[f539]) ).
fof(f542,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f541,f203]) ).
fof(f543,plain,
~ aNaturalNumber0(xn),
inference(forward_subsumption_resolution,[],[f542,f114]) ).
fof(f544,plain,
$false,
inference(forward_subsumption_resolution,[],[f543,f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM476+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n013.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 20:05:07 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.43 Running first-order theorem proving
% 0.09/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.48/1.28 % (518333)Detected formulas, will run a generic FOF schedule.
% 2.48/1.28 % (518400)dis-21_1_sil=8000:lcm=predicate:random_seed=2770420566: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)
% 2.48/1.28 % (518394)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=3313305818:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.48/1.28 % (518396)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=2588441905:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.48/1.28 % (518397)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3126639928:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.48/1.28 % (518399)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2117252476:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.48/1.28 % (518395)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=1372451425:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.48/1.28 % (518398)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3764128623:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.48/1.28 % (518400)Instruction limit reached!
% 2.48/1.28 % (518400)------------------------------
% 2.48/1.28 % (518400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.28 % (518400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.28 % (518400)CaDiCaL version: 2.1.3
% 2.48/1.28 % (518400)Termination reason: Instruction limit
% 2.48/1.28 % (518400)Termination phase: Saturation
% 2.48/1.28 % (518400)Time elapsed: 0.044 s
% 2.48/1.28 % (518400)Peak memory usage: 90 MB
% 2.48/1.28 % (518400)Instructions burned: 132 (million)
% 2.48/1.28 % (518398)First to succeed.
% 2.48/1.28 % (518398)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-518333"
% 2.48/1.28 % (518397)Also succeeded, but the first one will report.
% 2.48/1.28 % (518399)Instruction limit reached!
% 2.48/1.28 % (518399)------------------------------
% 2.48/1.28 % (518399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.28 % (518399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.28 % (518399)CaDiCaL version: 2.1.3
% 2.48/1.28 % (518399)Termination reason: Instruction limit
% 2.48/1.28 % (518399)Termination phase: Saturation
% 2.48/1.28 % (518399)Time elapsed: 0.092 s
% 2.48/1.28 % (518399)Peak memory usage: 90 MB
% 2.48/1.28 % (518399)Instructions burned: 141 (million)
% 2.48/1.28 % (518409)lrs+10_1_sil=8000:sp=occurrence:random_seed=672325749:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.48/1.28 % (518409)Instruction limit reached!
% 2.48/1.28 % (518409)------------------------------
% 2.48/1.28 % (518409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.48/1.28 % (518409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/1.28 % (518409)CaDiCaL version: 2.1.3
% 2.48/1.28 % (518409)Termination reason: Instruction limit
% 2.48/1.28 % (518409)Termination phase: Saturation
% 2.48/1.28 % (518409)Time elapsed: 0.093 s
% 2.48/1.28 % (518409)Peak memory usage: 93 MB
% 2.48/1.28 % (518409)Instructions burned: 287 (million)
% 2.48/1.28 % (518410)lrs+10_1_sil=32000:urr=on:br=off:random_seed=170632565:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.48/1.28 % (518398)Refutation found. Thanks to Tanya!
% 2.48/1.28 % SZS status Theorem for theBenchmark
% 2.48/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.48 % (518398)------------------------------
% 3.51/1.48 % (518398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.48 % (518398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.48 % (518398)CaDiCaL version: 2.1.3
% 3.51/1.48 % (518398)Termination reason: Refutation
% 3.51/1.48 % (518398)Time elapsed: 0.009 s
% 3.51/1.48 % (518398)Peak memory usage: 88 MB
% 3.51/1.48 % (518398)Instructions burned: 14 (million)
% 3.51/1.48 % (518398)------------------------------
% 3.51/1.48 % (518398)------------------------------
% 3.51/1.48 % (518333)Success in time 0.419 s
% 3.51/1.48 % Vampire exiting
%------------------------------------------------------------------------------