%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM480+2 : 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 : n020.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 12:24:29 PM UTC 2026
% Result : Theorem 6.06s 2.81s
% Output : Refutation 6.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 21 unt; 1 def)
% Number of atoms : 166 ( 67 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 181 ( 79 ~; 73 |; 19 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 52 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f36,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524) ).
fof(f37,axiom,
( xl != sz00
& ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0) )
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524_04) ).
fof(f38,axiom,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1553) ).
fof(f40,conjecture,
( ( aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
| sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f41,negated_conjecture,
~ ( ( aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
| sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f45,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f46,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f45]) ).
fof(f52,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f53,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f55,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f54]) ).
fof(f62,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f63,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f62]) ).
fof(f103,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& sdtsldt0(sdtasdt0(xn,xm),xl) != sdtasdt0(xn,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f104,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& sdtsldt0(sdtasdt0(xn,xm),xl) != sdtasdt0(xn,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(flattening,[],[f103]) ).
fof(f109,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f114,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f125,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f63]) ).
fof(f162,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f36]) ).
fof(f163,plain,
xm = sdtasdt0(xl,sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f164,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f166,plain,
sz00 != xl,
inference(cnf_transformation,[],[f37]) ).
fof(f167,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f38]) ).
fof(f173,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f104]) ).
fof(f174,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f104]) ).
fof(f176,plain,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(cnf_transformation,[],[f104]) ).
fof(f307,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),X0) ),
inference(resolution,[],[f114,f174]) ).
fof(f309,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xl,X0) = sdtasdt0(X0,xl) ),
inference(resolution,[],[f114,f162]) ).
fof(f919,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X1,sdtsldt0(xm,xl)),X0) = sdtasdt0(X1,sdtasdt0(sdtsldt0(xm,xl),X0)) ),
inference(resolution,[],[f115,f174]) ).
fof(f1213,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| sz00 = xl
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| sdtsldt0(xm,xl) = X0 ),
inference(superposition,[],[f125,f173]) ).
fof(f1222,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| sdtsldt0(xm,xl) = X0 ),
inference(forward_subsumption_resolution,[],[f1213,f166]) ).
fof(f1234,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| sdtsldt0(xm,xl) = X0 ),
inference(forward_subsumption_resolution,[],[f1222,f174]) ).
fof(f1244,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0)
| sdtsldt0(xm,xl) = X0 ),
inference(forward_subsumption_resolution,[],[f1234,f162]) ).
fof(f2947,plain,
( xm != xm
| ~ aNaturalNumber0(sK2)
| sdtsldt0(xm,xl) = sK2 ),
inference(superposition,[],[f1244,f163]) ).
fof(f2948,plain,
( ~ aNaturalNumber0(sK2)
| sdtsldt0(xm,xl) = sK2 ),
inference(trivial_inequality_removal,[],[f2947]) ).
fof(f2949,plain,
sdtsldt0(xm,xl) = sK2,
inference(forward_subsumption_resolution,[],[f2948,f164]) ).
fof(f2977,plain,
sdtasdt0(xl,sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),xl),
inference(resolution,[],[f307,f162]) ).
fof(f2983,plain,
xm = sdtasdt0(sdtsldt0(xm,xl),xl),
inference(forward_demodulation,[],[f2977,f173]) ).
fof(f2989,plain,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sK2)),
inference(superposition,[],[f176,f2949]) ).
fof(f3310,plain,
xm = sdtasdt0(sK2,xl),
inference(forward_demodulation,[],[f2983,f2949]) ).
fof(f3556,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,sK2),X0) = sdtasdt0(X1,sdtasdt0(sK2,X0)) ),
inference(forward_demodulation,[],[f919,f2949]) ).
fof(f3584,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK2),xl) = sdtasdt0(X0,sdtasdt0(sK2,xl)) ),
inference(resolution,[],[f3556,f162]) ).
fof(f3591,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,sK2),xl) ),
inference(forward_demodulation,[],[f3584,f3310]) ).
fof(f48109,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xn,sK2),xl),
inference(resolution,[],[f3591,f167]) ).
fof(f54164,definition,
( spl3_51
<=> aNaturalNumber0(sdtasdt0(xn,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_51])],[avatar_definition]) ).
fof(f54165,plain,
( aNaturalNumber0(sdtasdt0(xn,sK2))
| ~ spl3_51 ),
inference(avatar_component_clause,[],[f54164]) ).
fof(f54166,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,sK2))
| spl3_51 ),
inference(avatar_component_clause,[],[f54164]) ).
fof(f54212,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2)
| spl3_51 ),
inference(resolution,[],[f54166,f109]) ).
fof(f54213,plain,
( ~ aNaturalNumber0(sK2)
| spl3_51 ),
inference(forward_subsumption_resolution,[],[f54212,f167]) ).
fof(f54214,plain,
( $false
| spl3_51 ),
inference(forward_subsumption_resolution,[],[f54213,f164]) ).
fof(f54215,plain,
spl3_51,
inference(avatar_contradiction_clause,[],[f54214]) ).
fof(f54328,plain,
( sdtasdt0(xl,sdtasdt0(xn,sK2)) = sdtasdt0(sdtasdt0(xn,sK2),xl)
| ~ spl3_51 ),
inference(resolution,[],[f54165,f309]) ).
fof(f54900,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sK2))
| ~ spl3_51 ),
inference(forward_demodulation,[],[f54328,f48109]) ).
fof(f54905,plain,
( $false
| ~ spl3_51 ),
inference(forward_subsumption_resolution,[],[f54900,f2989]) ).
fof(f54906,plain,
~ spl3_51,
inference(avatar_contradiction_clause,[],[f54905]) ).
cnf(s58,plain,
spl3_51,
inference(sat_conversion,[],[f54215]) ).
cnf(s59,plain,
~ spl3_51,
inference(sat_conversion,[],[f54906]) ).
cnf(s60,plain,
$false,
inference(rat,[],[s58,s59]) ).
fof(f54907,plain,
$false,
inference(avatar_sat_refutation,[],[s60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM480+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n020.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 20:07:05 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 14.52/2.51 % (3711109)Will run a generic schedule for satisfiability detection.
% 14.52/2.51 % (3711118)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4125338193:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.52/2.51 % (3711115)% WARNING: option uhcvi not known.
% 14.52/2.51 % (3711114)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1414599686_2999 on theBenchmark for (2999ds/0Mi)
% 14.52/2.51 % (3711115)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1503988347:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.52/2.51 % (3711116)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3839337048:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.52/2.51 % (3711117)dis+10_1_sil=32000:sp=arity:random_seed=20391382:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.52/2.51 % (3711119)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2401604243:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.52/2.51 % (3711120)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1903567012:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.52/2.51 % TRYING [1]
% 14.52/2.51 % TRYING [2]
% 14.52/2.51 % TRYING [3]
% 14.52/2.51 % TRYING [4]
% 14.52/2.51 % (3711118)Instruction limit reached!
% 14.52/2.51 % (3711118)------------------------------
% 14.52/2.51 % (3711118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.52/2.51 % (3711118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.52/2.51 % (3711118)CaDiCaL version: 2.1.3
% 14.52/2.51 % (3711118)Termination reason: Instruction limit
% 14.52/2.51 % (3711118)Termination phase: Saturation
% 14.52/2.51 % (3711118)Time elapsed: 0.036 s
% 14.52/2.51 % (3711118)Peak memory usage: 13 MB
% 14.52/2.51 % (3711118)Instructions burned: 118 (million)
% 14.52/2.51 % TRYING [5]
% 14.52/2.51 % (3711128)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=888297000:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.52/2.51 % TRYING [1]
% 14.52/2.51 % TRYING [2]
% 14.52/2.51 % TRYING [3]
% 14.52/2.51 % TRYING [4]
% 14.52/2.51 % (3711117)Instruction limit reached!
% 14.52/2.51 % (3711117)------------------------------
% 14.52/2.51 % (3711117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.52/2.51 % (3711117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.52/2.51 % (3711117)CaDiCaL version: 2.1.3
% 14.52/2.51 % (3711117)Termination reason: Instruction limit
% 14.52/2.51 % (3711117)Termination phase: Saturation
% 14.52/2.51 % (3711117)Time elapsed: 0.058 s
% 14.52/2.51 % (3711117)Peak memory usage: 12 MB
% 14.52/2.51 % (3711117)Instructions burned: 103 (million)
% 14.52/2.51 % TRYING [5]
% 14.52/2.51 % (3711119)Instruction limit reached!
% 14.52/2.51 % (3711119)------------------------------
% 14.52/2.51 % (3711119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.52/2.51 % (3711119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.52/2.51 % (3711119)CaDiCaL version: 2.1.3
% 14.52/2.51 % (3711119)Termination reason: Instruction limit
% 14.52/2.51 % (3711119)Termination phase: Saturation
% 14.52/2.51 % (3711119)Time elapsed: 0.063 s
% 14.52/2.51 % (3711119)Peak memory usage: 13 MB
% 14.52/2.51 % (3711119)Instructions burned: 131 (million)
% 14.52/2.51 % (3711130)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3625022370:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.52/2.51 % (3711131)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=3355701092:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.52/2.51 % (3711120)Instruction limit reached!
% 14.52/2.51 % (3711120)------------------------------
% 14.52/2.51 % (3711120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.52/2.51 % (3711120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.52/2.51 % (3711120)CaDiCaL version: 2.1.3
% 14.52/2.51 % (3711120)Termination reason: Instruction limit
% 14.52/2.51 % (3711120)Termination phase: Saturation
% 14.52/2.51 % (3711120)Time elapsed: 0.088 s
% 14.52/2.51 % (3711120)Peak memory usage: 14 MB
% 14.52/2.51 % (3711120)Instructions burned: 159 (million)
% 14.52/2.51 % TRYING [6]
% 14.52/2.51 % TRYING [6]
% 14.52/2.51 % (3711134)ott-21_1_sil=16000:fs=off:random_seed=4014519294:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.52/2.51 % (3711130)Instruction limit reached!
% 14.52/2.51 % (3711130)------------------------------
% 14.52/2.51 % (3711130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711130)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711130)Termination reason: Instruction limit
% 6.06/2.81 % (3711130)Termination phase: Saturation
% 6.06/2.81 % (3711130)Time elapsed: 0.063 s
% 6.06/2.81 % (3711130)Peak memory usage: 12 MB
% 6.06/2.81 % (3711130)Instructions burned: 132 (million)
% 6.06/2.81 % (3711136)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3160772440:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.06/2.81 % (3711128)Instruction limit reached!
% 6.06/2.81 % (3711128)------------------------------
% 6.06/2.81 % (3711128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711128)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711128)Termination reason: Instruction limit
% 6.06/2.81 % (3711128)Termination phase: Finite model building SAT solving
% 6.06/2.81 % (3711128)Time elapsed: 0.149 s
% 6.06/2.81 % (3711128)Peak memory usage: 34 MB
% 6.06/2.81 % (3711128)Instructions burned: 717 (million)
% 6.06/2.81 % (3711134)Instruction limit reached!
% 6.06/2.81 % (3711134)------------------------------
% 6.06/2.81 % (3711134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711134)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711134)Termination reason: Instruction limit
% 6.06/2.81 % (3711134)Termination phase: Saturation
% 6.06/2.81 % (3711134)Time elapsed: 0.089 s
% 6.06/2.81 % (3711134)Peak memory usage: 13 MB
% 6.06/2.81 % (3711134)Instructions burned: 180 (million)
% 6.06/2.81 % (3711138)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2815082205:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.06/2.81 % TRYING [1]
% 6.06/2.81 % TRYING [2]
% 6.06/2.81 % TRYING [3]
% 6.06/2.81 % TRYING [4]
% 6.06/2.81 % (3711139)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4275264460:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.06/2.81 % TRYING [5]
% 6.06/2.81 % TRYING [7]
% 6.06/2.81 % TRYING [6]
% 6.06/2.81 % (3711138)Instruction limit reached!
% 6.06/2.81 % (3711138)------------------------------
% 6.06/2.81 % (3711138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711138)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711138)Termination reason: Instruction limit
% 6.06/2.81 % (3711138)Termination phase: Finite model building constraint generation
% 6.06/2.81 % (3711138)Time elapsed: 0.175 s
% 6.06/2.81 % (3711138)Peak memory usage: 21 MB
% 6.06/2.81 % (3711138)Instructions burned: 867 (million)
% 6.06/2.81 % (3711142)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2692783248:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.06/2.81 % TRYING [14]
% 6.06/2.81 % (3711131)Instruction limit reached!
% 6.06/2.81 % (3711131)------------------------------
% 6.06/2.81 % (3711131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711131)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711131)Termination reason: Instruction limit
% 6.06/2.81 % (3711131)Termination phase: Saturation
% 6.06/2.81 % (3711131)Time elapsed: 0.389 s
% 6.06/2.81 % (3711131)Peak memory usage: 20 MB
% 6.06/2.81 % (3711131)Instructions burned: 685 (million)
% 6.06/2.81 % (3711136)Instruction limit reached!
% 6.06/2.81 % (3711136)------------------------------
% 6.06/2.81 % (3711136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711136)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711136)Termination reason: Instruction limit
% 6.06/2.81 % (3711136)Termination phase: Saturation
% 6.06/2.81 % (3711136)Time elapsed: 0.317 s
% 6.06/2.81 % (3711136)Peak memory usage: 14 MB
% 6.06/2.81 % (3711136)Instructions burned: 477 (million)
% 6.06/2.81 % (3711144)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=1391658058: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)
% 6.06/2.81 % (3711145)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1230543495:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.06/2.81 % (3711142)Instruction limit reached!
% 6.06/2.81 % (3711142)------------------------------
% 6.06/2.81 % (3711142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711142)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711142)Termination reason: Instruction limit
% 6.06/2.81 % (3711142)Termination phase: Finite model building constraint generation
% 6.06/2.81 % (3711142)Time elapsed: 0.181 s
% 6.06/2.81 % (3711142)Peak memory usage: 73 MB
% 6.06/2.81 % (3711142)Instructions burned: 893 (million)
% 6.06/2.81 % (3711148)fmb+10_1_sil=64000:random_seed=2172924716:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 6.06/2.81 % TRYING [1]
% 6.06/2.81 % TRYING [2]
% 6.06/2.81 % TRYING [3]
% 6.06/2.81 % TRYING [4]
% 6.06/2.81 % TRYING [8]
% 6.06/2.81 % TRYING [5]
% 6.06/2.81 % TRYING [6]
% 6.06/2.81 % (3711139)Instruction limit reached!
% 6.06/2.81 % (3711139)------------------------------
% 6.06/2.81 % (3711139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711139)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711139)Termination reason: Instruction limit
% 6.06/2.81 % (3711139)Termination phase: Saturation
% 6.06/2.81 % (3711139)Time elapsed: 0.631 s
% 6.06/2.81 % (3711139)Peak memory usage: 24 MB
% 6.06/2.81 % (3711139)Instructions burned: 1181 (million)
% 6.06/2.81 % (3711144)Instruction limit reached!
% 6.06/2.81 % (3711144)------------------------------
% 6.06/2.81 % (3711144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711144)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711144)Termination reason: Instruction limit
% 6.06/2.81 % (3711144)Termination phase: Saturation
% 6.06/2.81 % (3711144)Time elapsed: 0.360 s
% 6.06/2.81 % (3711144)Peak memory usage: 23 MB
% 6.06/2.81 % (3711144)Instructions burned: 694 (million)
% 6.06/2.81 % (3711150)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3504621224:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 6.06/2.81 % TRYING [20]
% 6.06/2.81 % (3711151)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3575819011:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 6.06/2.81 % TRYING [8]
% 6.06/2.81 % (3711145)Instruction limit reached!
% 6.06/2.81 % (3711145)------------------------------
% 6.06/2.81 % (3711145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711145)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711145)Termination reason: Instruction limit
% 6.06/2.81 % (3711145)Termination phase: Saturation
% 6.06/2.81 % (3711145)Time elapsed: 0.471 s
% 6.06/2.81 % (3711145)Peak memory usage: 20 MB
% 6.06/2.81 % (3711145)Instructions burned: 880 (million)
% 6.06/2.81 % (3711154)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3376417152:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 6.06/2.81 % TRYING [7]
% 6.06/2.81 % (3711151)Instruction limit reached!
% 6.06/2.81 % (3711151)------------------------------
% 6.06/2.81 % (3711151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711151)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711151)Termination reason: Instruction limit
% 6.06/2.81 % (3711151)Termination phase: Finite model building constraint generation
% 6.06/2.81 % (3711151)Time elapsed: 0.340 s
% 6.06/2.81 % (3711151)Peak memory usage: 66 MB
% 6.06/2.81 % (3711151)Instructions burned: 922 (million)
% 6.06/2.81 % (3711156)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2964905911:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 6.06/2.81 % TRYING [9]
% 6.06/2.81 % TRYING [8]
% 6.06/2.81 % (3711156)Instruction limit reached!
% 6.06/2.81 % (3711156)------------------------------
% 6.06/2.81 % (3711156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711156)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711156)Termination reason: Instruction limit
% 6.06/2.81 % (3711156)Termination phase: Saturation
% 6.06/2.81 % (3711156)Time elapsed: 0.756 s
% 6.06/2.81 % (3711156)Peak memory usage: 33 MB
% 6.06/2.81 % (3711156)Instructions burned: 1474 (million)
% 6.06/2.81 % (3711158)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4193351321:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 6.06/2.81 % TRYING [77]
% 6.06/2.81 % (3711154) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3711109-3711154"...
% 6.06/2.81 % (3711154)...printing done.
% 6.06/2.81 % (3711154)Refutation found. Thanks to Tanya!
% 6.06/2.81 % SZS status Theorem for theBenchmark
% 6.06/2.81 % SZS output start Proof for theBenchmark
% See solution above
% 6.06/2.81 % (3711154)------------------------------
% 6.06/2.81 % (3711154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.06/2.81 % (3711154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.06/2.81 % (3711154)CaDiCaL version: 2.1.3
% 6.06/2.81 % (3711154)Termination reason: Refutation
% 6.06/2.81 % (3711154)Time elapsed: 1.300 s
% 6.06/2.81 % (3711154)Peak memory usage: 31 MB
% 6.06/2.81 % (3711154)Instructions burned: 2531 (million)
% 6.06/2.81 % (3711109)Success in time 2.367 s
% 6.06/2.81 % Vampire exiting
%------------------------------------------------------------------------------