%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM529+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:24:41 PM UTC 2026
% Result : ContradictoryAxioms 4.32s 1.07s
% Output : Refutation 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 91 ( 29 unt; 3 def)
% Number of atoms : 299 ( 114 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 354 ( 146 ~; 166 |; 26 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X0 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
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(f40,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& X0 != sz00
& X1 != sz00
& X2 != sz00 )
=> ( sdtasdt0(X2,sdtasdt0(X1,X1)) = sdtasdt0(X0,X0)
=> ( iLess0(X0,xn)
=> ~ isPrime0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2963) ).
fof(f43,axiom,
isPrime0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3025) ).
fof(f44,axiom,
( doDivides0(xp,sdtasdt0(xn,xn))
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
fof(f45,axiom,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
fof(f46,axiom,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3082) ).
fof(f47,axiom,
( xm != xn
& sdtlseqdt0(xm,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3124) ).
fof(f67,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f76,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f77,plain,
! [X0,X1] :
( X0 = sz00
| X1 = sz00
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f76]) ).
fof(f97,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f98,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f97]) ).
fof(f101,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(f102,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,[],[f101]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sz00 = X1
| sz00 = X2 ),
inference(ennf_transformation,[],[f41]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ isPrime0(X2)
| ~ iLess0(X0,xn)
| sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sz00 = X1
| sz00 = X2 ),
inference(flattening,[],[f119]) ).
fof(f129,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,[],[f102]) ).
fof(f130,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,[],[f129]) ).
fof(f136,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f149,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f150,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f67]) ).
fof(f159,plain,
! [X0,X1] :
( sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f182,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f187,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f205,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f206,plain,
sz00 != xm,
inference(cnf_transformation,[],[f40]) ).
fof(f208,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f209,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f210,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f211,plain,
! [X2,X0,X1] :
( sdtasdt0(X2,sdtasdt0(X1,X1)) != sdtasdt0(X0,X0)
| ~ iLess0(X0,xn)
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| sz00 = X1
| sz00 = X2 ),
inference(cnf_transformation,[],[f120]) ).
fof(f213,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f43]) ).
fof(f214,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f44]) ).
fof(f216,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f217,plain,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[],[f46]) ).
fof(f218,plain,
sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f47]) ).
fof(f219,plain,
xn != xm,
inference(cnf_transformation,[],[f47]) ).
fof(f228,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f243,definition,
( spl4_3
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f244,plain,
( aNaturalNumber0(sz00)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f252,plain,
spl4_3,
inference(avatar_split_clause,[],[f136,f243]) ).
fof(f273,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl4_3 ),
inference(resolution,[],[f149,f244]) ).
fof(f282,plain,
sz00 = sdtasdt0(xp,sz00),
inference(resolution,[],[f150,f208]) ).
fof(f464,definition,
( spl4_10
<=> sz00 = sdtasdt0(xm,xm) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f465,plain,
( sz00 != sdtasdt0(xm,xm)
| spl4_10 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( sz00 = sdtasdt0(xm,xm)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f530,plain,
( xn = xm
| iLess0(xm,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f182,f218]) ).
fof(f547,plain,
( iLess0(xm,xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f530,f219]) ).
fof(f550,plain,
( iLess0(xm,xn)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f547,f209]) ).
fof(f561,plain,
iLess0(xm,xn),
inference(forward_subsumption_resolution,[],[f550,f210]) ).
fof(f1035,plain,
( sz00 = xp
| aNaturalNumber0(sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f228,f214]) ).
fof(f1045,plain,
( aNaturalNumber0(sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1035,f205]) ).
fof(f1048,plain,
( aNaturalNumber0(sdtsldt0(xn,xp))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1045,f208]) ).
fof(f1050,plain,
aNaturalNumber0(sdtsldt0(xn,xp)),
inference(forward_subsumption_resolution,[],[f1048,f210]) ).
fof(f1052,plain,
aNaturalNumber0(xq),
inference(forward_demodulation,[],[f1050,f216]) ).
fof(f1075,definition,
( spl4_57
<=> sz00 = xq ),
introduced(definition,[new_symbols(definition,[spl4_57])],[avatar_definition]) ).
fof(f1076,plain,
( sz00 != xq
| spl4_57 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1077,plain,
( sz00 = xq
| ~ spl4_57 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f2449,plain,
! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ isPrime0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| sz00 = X0
| sz00 = xq
| sz00 = xp ),
inference(superposition,[],[f211,f217]) ).
fof(f2452,plain,
! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| sz00 = X0
| sz00 = xq
| sz00 = xp ),
inference(forward_subsumption_resolution,[],[f2449,f213]) ).
fof(f2454,plain,
! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sz00 = X0
| sz00 = xq
| sz00 = xp ),
inference(forward_subsumption_resolution,[],[f2452,f1052]) ).
fof(f2456,plain,
! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz00 = xq
| sz00 = xp ),
inference(forward_subsumption_resolution,[],[f2454,f208]) ).
fof(f2458,plain,
! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz00 = xq ),
inference(forward_subsumption_resolution,[],[f2456,f205]) ).
fof(f2820,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(sz00,sz00))
| ~ spl4_57 ),
inference(superposition,[],[f217,f1077]) ).
fof(f2821,plain,
( sdtasdt0(xm,xm) = sdtasdt0(xp,sz00)
| ~ spl4_3
| ~ spl4_57 ),
inference(forward_demodulation,[],[f2820,f273]) ).
fof(f2824,plain,
( sz00 = sdtasdt0(xm,xm)
| ~ spl4_3
| ~ spl4_57 ),
inference(forward_demodulation,[],[f2821,f282]) ).
fof(f2825,plain,
( $false
| ~ spl4_3
| spl4_10
| ~ spl4_57 ),
inference(forward_subsumption_resolution,[],[f2824,f465]) ).
fof(f2826,plain,
( ~ spl4_3
| spl4_10
| ~ spl4_57 ),
inference(avatar_contradiction_clause,[],[f2825]) ).
fof(f3119,plain,
( sz00 != sz00
| sz00 = xm
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| ~ spl4_10 ),
inference(superposition,[],[f159,f466]) ).
fof(f3146,plain,
( sz00 != sz00
| sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl4_10 ),
inference(duplicate_literal_removal,[],[f3119]) ).
fof(f3147,plain,
( sz00 = xm
| ~ aNaturalNumber0(xm)
| ~ spl4_10 ),
inference(trivial_inequality_removal,[],[f3146]) ).
fof(f3166,plain,
( ~ aNaturalNumber0(xm)
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f3147,f206]) ).
fof(f3184,plain,
( $false
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f3166,f209]) ).
fof(f3185,plain,
~ spl4_10,
inference(avatar_contradiction_clause,[],[f3184]) ).
fof(f3201,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(xm,xm)
| ~ iLess0(X0,xn)
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| spl4_57 ),
inference(forward_subsumption_resolution,[],[f2458,f1076]) ).
fof(f12172,plain,
( ~ iLess0(xm,xn)
| ~ aNaturalNumber0(xm)
| sz00 = xm
| spl4_57 ),
inference(equality_resolution,[],[f3201]) ).
fof(f12173,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xm
| spl4_57 ),
inference(forward_subsumption_resolution,[],[f12172,f561]) ).
fof(f12174,plain,
( sz00 = xm
| spl4_57 ),
inference(forward_subsumption_resolution,[],[f12173,f209]) ).
fof(f12175,plain,
( $false
| spl4_57 ),
inference(forward_subsumption_resolution,[],[f12174,f206]) ).
fof(f12176,plain,
spl4_57,
inference(avatar_contradiction_clause,[],[f12175]) ).
cnf(s4,plain,
spl4_3,
inference(sat_conversion,[],[f252]) ).
cnf(s56,plain,
( ~ spl4_3
| spl4_10
| ~ spl4_57 ),
inference(sat_conversion,[],[f2826]) ).
cnf(s66,plain,
~ spl4_10,
inference(sat_conversion,[],[f3185]) ).
cnf(s214,plain,
spl4_57,
inference(sat_conversion,[],[f12176]) ).
cnf(s222,plain,
~ spl4_3,
inference(rat,[],[s56,s214,s66]) ).
cnf(s241,plain,
$false,
inference(rat,[],[s4,s222]) ).
fof(f12177,plain,
$false,
inference(avatar_sat_refutation,[],[s241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM529+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 20:21:34 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.32/1.06 % (3378762)Will run a generic schedule for satisfiability detection.
% 4.32/1.06 % (3378767)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3044680495_2999 on theBenchmark for (2999ds/0Mi)
% 4.32/1.06 % (3378768)% WARNING: option uhcvi not known.
% 4.32/1.06 % Detected minimum model sizes of [3]
% 4.32/1.06 % Detected maximum model sizes of [max]
% 4.32/1.06 % TRYING [3]
% 4.32/1.06 % (3378768)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=667457163:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.32/1.06 % (3378769)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3709036456:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.32/1.06 % (3378770)dis+10_1_sil=32000:sp=arity:random_seed=156294593:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.32/1.06 % (3378771)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=845319717:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.32/1.06 % (3378772)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3445924168:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.32/1.06 % TRYING [4]
% 4.32/1.06 % (3378773)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3231815479:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.32/1.06 % TRYING [5]
% 4.32/1.06 % TRYING [6]
% 4.32/1.06 % (3378770)Instruction limit reached!
% 4.32/1.06 % (3378770)------------------------------
% 4.32/1.06 % (3378770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.06 % (3378770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.06 % (3378770)CaDiCaL version: 2.1.3
% 4.32/1.06 % (3378770)Termination reason: Instruction limit
% 4.32/1.06 % (3378770)Termination phase: Saturation
% 4.32/1.06 % (3378770)Time elapsed: 0.061 s
% 4.32/1.06 % (3378770)Peak memory usage: 12 MB
% 4.32/1.06 % (3378770)Instructions burned: 103 (million)
% 4.32/1.06 % (3378771)Instruction limit reached!
% 4.32/1.06 % (3378771)------------------------------
% 4.32/1.06 % (3378771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.06 % (3378771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.06 % (3378771)CaDiCaL version: 2.1.3
% 4.32/1.06 % (3378771)Termination reason: Instruction limit
% 4.32/1.06 % (3378771)Termination phase: Saturation
% 4.32/1.06 % (3378771)Time elapsed: 0.067 s
% 4.32/1.06 % (3378771)Peak memory usage: 13 MB
% 4.32/1.06 % (3378771)Instructions burned: 116 (million)
% 4.32/1.06 % (3378772)Instruction limit reached!
% 4.32/1.06 % (3378772)------------------------------
% 4.32/1.06 % (3378772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.06 % (3378772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.06 % (3378772)CaDiCaL version: 2.1.3
% 4.32/1.06 % (3378772)Termination reason: Instruction limit
% 4.32/1.06 % (3378772)Termination phase: Saturation
% 4.32/1.06 % (3378772)Time elapsed: 0.077 s
% 4.32/1.06 % (3378772)Peak memory usage: 13 MB
% 4.32/1.06 % (3378772)Instructions burned: 131 (million)
% 4.32/1.06 % (3378781)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3166813681:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.32/1.06 % (3378782)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1848811120:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.32/1.06 % Detected minimum model sizes of [3]
% 4.32/1.06 % Detected maximum model sizes of [max]
% 4.32/1.06 % TRYING [3]
% 4.32/1.06 % TRYING [4]
% 4.32/1.06 % (3378783)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=1920359893:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.32/1.06 % (3378773)Instruction limit reached!
% 4.32/1.06 % (3378773)------------------------------
% 4.32/1.06 % (3378773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.06 % (3378773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.06 % (3378773)CaDiCaL version: 2.1.3
% 4.32/1.06 % (3378773)Termination reason: Instruction limit
% 4.32/1.06 % (3378773)Termination phase: Saturation
% 4.32/1.06 % (3378773)Time elapsed: 0.098 s
% 4.32/1.06 % (3378773)Peak memory usage: 14 MB
% 4.32/1.06 % (3378773)Instructions burned: 160 (million)
% 4.32/1.06 % (3378787)ott-21_1_sil=16000:fs=off:random_seed=2645166954:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.32/1.06 % TRYING [5]
% 4.32/1.06 % TRYING [7]
% 4.32/1.06 % (3378782)Instruction limit reached!
% 4.32/1.06 % (3378782)------------------------------
% 4.32/1.06 % (3378782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.06 % (3378782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.06 % (3378782)CaDiCaL version: 2.1.3
% 4.32/1.06 % (3378782)Termination reason: Instruction limit
% 4.32/1.06 % (3378782)Termination phase: Saturation
% 4.32/1.06 % (3378782)Time elapsed: 0.069 s
% 4.32/1.06 % (3378782)Peak memory usage: 12 MB
% 4.32/1.06 % (3378782)Instructions burned: 131 (million)
% 4.32/1.06 % (3378789)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4206076700:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.32/1.06 % TRYING [6]
% 4.32/1.06 % (3378787)Instruction limit reached!
% 4.32/1.06 % (3378787)------------------------------
% 4.32/1.06 % (3378787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.06 % (3378787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.06 % (3378787)CaDiCaL version: 2.1.3
% 4.32/1.06 % (3378787)Termination reason: Instruction limit
% 4.32/1.06 % (3378787)Termination phase: Saturation
% 4.32/1.07 % (3378787)Time elapsed: 0.095 s
% 4.32/1.07 % (3378787)Peak memory usage: 13 MB
% 4.32/1.07 % (3378787)Instructions burned: 181 (million)
% 4.32/1.07 % (3378791)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3011995243:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.32/1.07 % Detected minimum model sizes of [3]
% 4.32/1.07 % Detected maximum model sizes of [max]
% 4.32/1.07 % TRYING [3]
% 4.32/1.07 % TRYING [4]
% 4.32/1.07 % (3378781)Instruction limit reached!
% 4.32/1.07 % (3378781)------------------------------
% 4.32/1.07 % (3378781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.07 % (3378781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.07 % (3378781)CaDiCaL version: 2.1.3
% 4.32/1.07 % (3378781)Termination reason: Instruction limit
% 4.32/1.07 % (3378781)Termination phase: Finite model building constraint generation
% 4.32/1.07 % (3378781)Time elapsed: 0.259 s
% 4.32/1.07 % (3378781)Peak memory usage: 34 MB
% 4.32/1.07 % (3378781)Instructions burned: 716 (million)
% 4.32/1.07 % TRYING [5]
% 4.32/1.07 % TRYING [8]
% 4.32/1.07 % (3378793)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1511046660:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 4.32/1.07 % (3378783)Instruction limit reached!
% 4.32/1.07 % (3378783)------------------------------
% 4.32/1.07 % (3378783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.07 % (3378783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.07 % (3378783)CaDiCaL version: 2.1.3
% 4.32/1.07 % (3378783)Termination reason: Instruction limit
% 4.32/1.07 % (3378783)Termination phase: Saturation
% 4.32/1.07 % (3378783)Time elapsed: 0.372 s
% 4.32/1.07 % (3378783)Peak memory usage: 20 MB
% 4.32/1.07 % (3378783)Instructions burned: 685 (million)
% 4.32/1.07 % (3378789)Instruction limit reached!
% 4.32/1.07 % (3378789)------------------------------
% 4.32/1.07 % (3378789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.07 % (3378789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.07 % (3378789)CaDiCaL version: 2.1.3
% 4.32/1.07 % (3378789)Termination reason: Instruction limit
% 4.32/1.07 % (3378789)Termination phase: Saturation
% 4.32/1.07 % (3378789)Time elapsed: 0.301 s
% 4.32/1.07 % (3378789)Peak memory usage: 14 MB
% 4.32/1.07 % (3378789)Instructions burned: 478 (million)
% 4.32/1.07 % (3378795)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3635695903:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.32/1.07 % (3378796)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=2670777458:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.32/1.07 % TRYING [6]
% 4.32/1.07 % (3378791)Instruction limit reached!
% 4.32/1.07 % (3378791)------------------------------
% 4.32/1.07 % (3378791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.07 % (3378791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.07 % (3378791)CaDiCaL version: 2.1.3
% 4.32/1.07 % (3378791)Termination reason: Instruction limit
% 4.32/1.07 % (3378791)Termination phase: Finite model building constraint generation
% 4.32/1.07 % (3378791)Time elapsed: 0.349 s
% 4.32/1.07 % (3378791)Peak memory usage: 22 MB
% 4.32/1.07 % (3378791)Instructions burned: 867 (million)
% 4.32/1.07 % (3378793) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3378762-3378793"...
% 4.32/1.07 % (3378799)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2036648796:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 4.32/1.07 % (3378793)...printing done.
% 4.32/1.07 % (3378793)Refutation found. Thanks to Tanya!
% 4.32/1.07 % SZS status ContradictoryAxioms for theBenchmark
% 4.32/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 4.32/1.07 % (3378793)------------------------------
% 4.32/1.07 % (3378793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.32/1.07 % (3378793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.07 % (3378793)CaDiCaL version: 2.1.3
% 4.32/1.07 % (3378793)Termination reason: Refutation
% 4.32/1.07 % (3378793)Time elapsed: 0.244 s
% 4.32/1.07 % (3378793)Peak memory usage: 18 MB
% 4.32/1.07 % (3378793)Instructions burned: 431 (million)
% 4.32/1.07 % (3378762)Success in time 0.648 s
% 4.32/1.07 % Vampire exiting
%------------------------------------------------------------------------------