%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM469+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 : n012.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 12:15:19 PM UTC 2026
% Result : Theorem 0.60s 0.86s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 11
% Syntax : Number of formulae : 86 ( 19 unt; 0 def)
% Number of atoms : 276 ( 79 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 336 ( 146 ~; 148 |; 28 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 87 ( 82 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
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(f33,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240) ).
fof(f34,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240_04) ).
fof(f35,axiom,
( xl != sz00
=> sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1298) ).
fof(f36,conjecture,
doDivides0(xl,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f37,negated_conjecture,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(flattening,[],[f37]) ).
fof(f40,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| sz00 = xl ),
inference(ennf_transformation,[],[f35]) ).
fof(f43,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f44,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f43]) ).
fof(f51,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f52,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f61,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f62,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f61]) ).
fof(f67,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f68,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f67]) ).
fof(f69,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(f70,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,[],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f44]) ).
fof(f72,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtasdt0(X0,sK0(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f70]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f33]) ).
fof(f77,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f33]) ).
fof(f78,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f33]) ).
fof(f79,plain,
doDivides0(xl,xn),
inference(cnf_transformation,[],[f34]) ).
fof(f80,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f34]) ).
fof(f81,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| sz00 = xl ),
inference(cnf_transformation,[],[f40]) ).
fof(f82,plain,
~ doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f38]) ).
fof(f84,plain,
! [X0,X1] :
( sdtasdt0(X0,sK0(X0,X1)) = X1
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f85,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f86,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f92,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f93,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f94,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f96,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f103,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f106,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f108,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f110,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f86]) ).
fof(f112,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f108]) ).
fof(f174,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f110,f106]) ).
fof(f176,plain,
! [X0] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f174,f93]) ).
fof(f181,plain,
! [X0] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f176]) ).
fof(f183,plain,
! [X0] :
( doDivides0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f181,f96]) ).
fof(f231,plain,
( doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(xl)
| sz00 = xl ),
inference(superposition,[],[f174,f81]) ).
fof(f235,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| ~ aNaturalNumber0(xl)
| sz00 = xl ),
inference(forward_subsumption_resolution,[],[f231,f82]) ).
fof(f238,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))
| sz00 = xl ),
inference(forward_subsumption_resolution,[],[f235,f78]) ).
fof(f239,plain,
( ~ aNaturalNumber0(sdtsldt0(xn,xl))
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sz00 = xl ),
inference(resolution,[],[f238,f103]) ).
fof(f262,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sz00 = xl
| sz00 = xl
| ~ doDivides0(xl,xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f239,f112]) ).
fof(f263,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sz00 = xl
| ~ doDivides0(xl,xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn) ),
inference(duplicate_literal_removal,[],[f262]) ).
fof(f264,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sz00 = xl
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f263,f79]) ).
fof(f265,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sz00 = xl
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f264,f78]) ).
fof(f266,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sz00 = xl ),
inference(forward_subsumption_resolution,[],[f265,f76]) ).
fof(f267,plain,
( sz00 = xl
| sz00 = xl
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f266,f112]) ).
fof(f268,plain,
( sz00 = xl
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(duplicate_literal_removal,[],[f267]) ).
fof(f269,plain,
( sz00 = xl
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f268,f80]) ).
fof(f270,plain,
( sz00 = xl
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f269,f78]) ).
fof(f271,plain,
sz00 = xl,
inference(forward_subsumption_resolution,[],[f270,f77]) ).
fof(f294,plain,
! [X0] :
( xl = sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f92,f271]) ).
fof(f296,plain,
! [X0] :
( sdtpldt0(xl,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f94,f271]) ).
fof(f299,plain,
! [X0] :
( doDivides0(X0,xl)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f183,f271]) ).
fof(f434,plain,
! [X0] :
( xl = X0
| ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(xl,X0)) ),
inference(superposition,[],[f84,f294]) ).
fof(f444,plain,
! [X0] :
( ~ aNaturalNumber0(sK0(xl,X0))
| ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| xl = X0 ),
inference(forward_subsumption_resolution,[],[f434,f78]) ).
fof(f1149,plain,
! [X0] :
( ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| xl = X0
| ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f444,f85]) ).
fof(f1150,plain,
! [X0] :
( ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| xl = X0
| ~ aNaturalNumber0(xl) ),
inference(duplicate_literal_removal,[],[f1149]) ).
fof(f1151,plain,
! [X0] :
( ~ doDivides0(xl,X0)
| ~ aNaturalNumber0(X0)
| xl = X0 ),
inference(forward_subsumption_resolution,[],[f1150,f78]) ).
fof(f1152,plain,
( ~ aNaturalNumber0(xn)
| xl = xn ),
inference(resolution,[],[f1151,f79]) ).
fof(f1153,plain,
( ~ aNaturalNumber0(xm)
| xl = xm ),
inference(resolution,[],[f1151,f80]) ).
fof(f1163,plain,
xl = xm,
inference(forward_subsumption_resolution,[],[f1153,f77]) ).
fof(f1164,plain,
xl = xn,
inference(forward_subsumption_resolution,[],[f1152,f76]) ).
fof(f1237,plain,
! [X0] :
( sdtpldt0(xm,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f296,f1163]) ).
fof(f1239,plain,
! [X0] :
( doDivides0(X0,xm)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f299,f1163]) ).
fof(f1254,plain,
xm = xn,
inference(forward_demodulation,[],[f1164,f1163]) ).
fof(f1259,plain,
~ doDivides0(xl,sdtpldt0(xm,xm)),
inference(superposition,[],[f82,f1254]) ).
fof(f1269,plain,
~ doDivides0(xm,sdtpldt0(xm,xm)),
inference(forward_demodulation,[],[f1259,f1163]) ).
fof(f1593,plain,
( ~ doDivides0(xm,xm)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f1269,f1237]) ).
fof(f1636,plain,
~ aNaturalNumber0(xm),
inference(forward_subsumption_resolution,[],[f1593,f1239]) ).
fof(f1647,plain,
$false,
inference(forward_subsumption_resolution,[],[f1636,f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM469+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 % Computer : n012.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sun Sep 27 20:04:04 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 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
% 0.60/0.86 % (2698725)Detected formulas, will run a generic FOF schedule.
% 0.60/0.86 % (2698736)dis-21_1_sil=8000:lcm=predicate:random_seed=3903267348: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)
% 0.60/0.86 % (2698735)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4104556289:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.60/0.86 % (2698732)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=2587382571:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.60/0.86 % (2698734)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3696323497:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.60/0.86 % (2698730)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=3426634839:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.60/0.86 % (2698731)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=4149797287:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.60/0.86 % (2698733)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1108681578:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.60/0.86 % (2698733)Refutation not found, incomplete strategy
% 0.60/0.86 % (2698733)------------------------------
% 0.60/0.86 % (2698733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.60/0.86 % (2698733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.86 % (2698733)CaDiCaL version: 2.1.3
% 0.60/0.86 % (2698733)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.86 % (2698733)Time elapsed: 0.002 s
% 0.60/0.86 % (2698733)Peak memory usage: 88 MB
% 0.60/0.86 % (2698733)Instructions burned: 5 (million)
% 0.60/0.86 % (2698734)First to succeed.
% 0.60/0.86 % (2698734)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2698725"
% 0.60/0.86 % (2698735)Instruction limit reached!
% 0.60/0.86 % (2698735)------------------------------
% 0.60/0.86 % (2698735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.60/0.86 % (2698735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.86 % (2698735)CaDiCaL version: 2.1.3
% 0.60/0.86 % (2698735)Termination reason: Instruction limit
% 0.60/0.86 % (2698735)Termination phase: Saturation
% 0.60/0.86 % (2698735)Time elapsed: 0.037 s
% 0.60/0.86 % (2698735)Peak memory usage: 89 MB
% 0.60/0.86 % (2698735)Instructions burned: 141 (million)
% 0.60/0.86 % (2698736)Instruction limit reached!
% 0.60/0.86 % (2698736)------------------------------
% 0.60/0.86 % (2698736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.60/0.86 % (2698736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.86 % (2698736)CaDiCaL version: 2.1.3
% 0.60/0.86 % (2698736)Termination reason: Instruction limit
% 0.60/0.86 % (2698736)Termination phase: Saturation
% 0.60/0.86 % (2698736)Time elapsed: 0.041 s
% 0.60/0.86 % (2698736)Peak memory usage: 89 MB
% 0.60/0.86 % (2698736)Instructions burned: 130 (million)
% 0.60/0.86 % (2698733)------------------------------
% 0.60/0.86 % (2698733)------------------------------
% 0.60/0.86 % (2698745)lrs+10_1_sil=32000:urr=on:br=off:random_seed=696673730:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.60/0.86 % (2698744)lrs+10_1_sil=8000:sp=occurrence:random_seed=3998375755:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.60/0.86 % (2698734)Refutation found. Thanks to Tanya!
% 0.60/0.86 % SZS status Theorem for theBenchmark
% 0.60/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 2.45/0.96 % (2698734)------------------------------
% 2.45/0.96 % (2698734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/0.96 % (2698734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.96 % (2698734)CaDiCaL version: 2.1.3
% 2.45/0.96 % (2698734)Termination reason: Refutation
% 2.45/0.96 % (2698734)Time elapsed: 0.014 s
% 2.45/0.96 % (2698734)Peak memory usage: 88 MB
% 2.45/0.96 % (2698734)Instructions burned: 42 (million)
% 2.45/0.96 % (2698734)------------------------------
% 2.45/0.96 % (2698734)------------------------------
% 2.45/0.96 % (2698725)Success in time 0.319 s
% 2.45/0.96 % Vampire exiting
%------------------------------------------------------------------------------