%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM525+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:24:40 PM UTC 2026
% Result : Theorem 0.18s 3.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 63 ( 24 unt; 0 def)
% Number of atoms : 195 ( 74 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 218 ( 86 ~; 87 |; 31 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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; 6 con; 0-2 aty)
% Number of variables : 81 ( 74 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
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/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivAsso) ).
fof(f40,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3014) ).
fof(f44,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3046) ).
fof(f45,axiom,
( aNaturalNumber0(xq)
& xn = sdtasdt0(xp,xq)
& xq = sdtsldt0(xn,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3059) ).
fof(f46,conjecture,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f47,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f48,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xp,X1) )
& doDivides0(xp,xn) ),
inference(rectify,[],[f44]) ).
fof(f49,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(flattening,[],[f47]) ).
fof(f53,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f62,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(f63,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f62]) ).
fof(f99,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f100,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f99]) ).
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(f111,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f112,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f111]) ).
fof(f127,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtsldt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f102]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f191,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f194,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f196,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f204,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f209,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,sK7),
inference(cnf_transformation,[],[f48]) ).
fof(f210,plain,
aNaturalNumber0(sK7),
inference(cnf_transformation,[],[f48]) ).
fof(f213,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f48]) ).
fof(f215,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f216,plain,
xn = sdtasdt0(xp,xq),
inference(cnf_transformation,[],[f45]) ).
fof(f217,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f45]) ).
fof(f218,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sdtasdt0(xp,sdtasdt0(xq,xq))),
inference(cnf_transformation,[],[f49]) ).
fof(f224,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f171]) ).
fof(f225,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f174]) ).
fof(f531,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f224,f127]) ).
fof(f1049,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,xq),X0) = sdtasdt0(X1,sdtasdt0(xq,X0)) ),
inference(resolution,[],[f133,f217]) ).
fof(f2294,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(resolution,[],[f179,f213]) ).
fof(f2320,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_subsumption_resolution,[],[f2294,f194]) ).
fof(f2338,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_subsumption_resolution,[],[f2320,f191]) ).
fof(f2351,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_subsumption_resolution,[],[f2338,f196]) ).
fof(f2362,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xq) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_demodulation,[],[f2351,f215]) ).
fof(f2374,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f225,f127]) ).
fof(f2375,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f2374,f531]) ).
fof(f2411,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xp
| sdtsldt0(sdtasdt0(xp,X0),xp) = X0 ),
inference(resolution,[],[f2375,f194]) ).
fof(f2420,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(xp,X0),xp) = X0 ),
inference(forward_subsumption_resolution,[],[f2411,f191]) ).
fof(f3684,plain,
sK7 = sdtsldt0(sdtasdt0(xp,sK7),xp),
inference(resolution,[],[f2420,f210]) ).
fof(f3685,plain,
sK7 = sdtsldt0(sdtasdt0(xn,xn),xp),
inference(forward_demodulation,[],[f3684,f209]) ).
fof(f4177,plain,
sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xn,xq),
inference(resolution,[],[f2362,f196]) ).
fof(f15645,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xq),X0) = sdtasdt0(xp,sdtasdt0(xq,X0)) ),
inference(resolution,[],[f1049,f194]) ).
fof(f15682,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtasdt0(xp,sdtasdt0(xq,X0)) ),
inference(forward_demodulation,[],[f15645,f216]) ).
fof(f53066,plain,
sK7 = sdtasdt0(xn,xq),
inference(forward_demodulation,[],[f4177,f3685]) ).
fof(f67923,plain,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xn,xq),
inference(resolution,[],[f15682,f217]) ).
fof(f67936,plain,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sK7,
inference(forward_demodulation,[],[f67923,f53066]) ).
fof(f73994,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xp,sK7),
inference(superposition,[],[f218,f67936]) ).
fof(f74148,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) != sdtasdt0(xn,xn),
inference(forward_demodulation,[],[f73994,f209]) ).
fof(f74212,plain,
$false,
inference(forward_subsumption_resolution,[],[f74148,f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM525+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n010.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:20:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.95/2.43 % (1283252)Will run a generic schedule for satisfiability detection.
% 13.95/2.43 % (1283260)dis+10_1_sil=32000:sp=arity:random_seed=865155562:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.95/2.43 % (1283258)% WARNING: option uhcvi not known.
% 13.95/2.43 % (1283257)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=120893608_2999 on theBenchmark for (2999ds/0Mi)
% 13.95/2.43 % (1283262)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1033839694:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.95/2.43 % (1283258)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2091238853:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.95/2.43 % (1283259)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3324819322:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.95/2.43 % (1283261)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2127114668:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.95/2.43 % (1283263)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2091493773:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.95/2.43 % Detected minimum model sizes of [3]
% 13.95/2.43 % Detected maximum model sizes of [max]
% 13.95/2.43 % TRYING [3]
% 13.95/2.43 % TRYING [4]
% 13.95/2.43 % (1283260)Instruction limit reached!
% 13.95/2.43 % (1283260)------------------------------
% 13.95/2.43 % (1283260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/2.43 % (1283260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/2.43 % (1283260)CaDiCaL version: 2.1.3
% 13.95/2.43 % (1283260)Termination reason: Instruction limit
% 13.95/2.43 % (1283260)Termination phase: Saturation
% 13.95/2.43 % (1283260)Time elapsed: 0.032 s
% 13.95/2.43 % (1283260)Peak memory usage: 12 MB
% 13.95/2.43 % (1283260)Instructions burned: 104 (million)
% 13.95/2.43 % (1283271)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1218081143:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.95/2.43 % Detected minimum model sizes of [3]
% 13.95/2.43 % Detected maximum model sizes of [max]
% 13.95/2.43 % TRYING [3]
% 13.95/2.43 % TRYING [4]
% 13.95/2.43 % TRYING [5]
% 13.95/2.43 % TRYING [5]
% 13.95/2.43 % (1283261)Instruction limit reached!
% 13.95/2.43 % (1283261)------------------------------
% 13.95/2.43 % (1283261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/2.43 % (1283261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/2.43 % (1283261)CaDiCaL version: 2.1.3
% 13.95/2.43 % (1283261)Termination reason: Instruction limit
% 13.95/2.43 % (1283261)Termination phase: Saturation
% 13.95/2.43 % (1283261)Time elapsed: 0.066 s
% 13.95/2.43 % (1283261)Peak memory usage: 13 MB
% 13.95/2.43 % (1283261)Instructions burned: 119 (million)
% 13.95/2.43 % (1283262)Instruction limit reached!
% 13.95/2.43 % (1283262)------------------------------
% 13.95/2.43 % (1283262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/2.43 % (1283262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/2.43 % (1283262)CaDiCaL version: 2.1.3
% 13.95/2.43 % (1283262)Termination reason: Instruction limit
% 13.95/2.43 % (1283262)Termination phase: Saturation
% 13.95/2.43 % (1283262)Time elapsed: 0.070 s
% 13.95/2.43 % (1283262)Peak memory usage: 12 MB
% 13.95/2.43 % (1283262)Instructions burned: 132 (million)
% 13.95/2.43 % (1283273)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3859091758:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.95/2.43 % (1283274)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=103742361:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.95/2.43 % (1283263)Instruction limit reached!
% 13.95/2.43 % (1283263)------------------------------
% 13.95/2.43 % (1283263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.95/2.43 % (1283263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.95/2.43 % (1283263)CaDiCaL version: 2.1.3
% 13.95/2.43 % (1283263)Termination reason: Instruction limit
% 13.95/2.43 % (1283263)Termination phase: Saturation
% 13.95/2.43 % (1283263)Time elapsed: 0.096 s
% 13.95/2.43 % (1283263)Peak memory usage: 14 MB
% 13.95/2.43 % (1283263)Instructions burned: 160 (million)
% 13.95/2.43 % TRYING [6]
% 13.95/2.43 % (1283277)ott-21_1_sil=16000:fs=off:random_seed=3149511757:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.95/2.43 % TRYING [6]
% 13.95/2.43 % (1283273)Instruction limit reached!
% 21.03/3.50 % (1283273)------------------------------
% 21.03/3.50 % (1283273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.03/3.50 % (1283273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.50 % (1283273)CaDiCaL version: 2.1.3
% 21.03/3.50 % (1283273)Termination reason: Instruction limit
% 21.03/3.50 % (1283273)Termination phase: Saturation
% 21.03/3.50 % (1283273)Time elapsed: 0.065 s
% 21.03/3.50 % (1283273)Peak memory usage: 12 MB
% 21.03/3.50 % (1283273)Instructions burned: 132 (million)
% 21.03/3.50 % (1283271)Instruction limit reached!
% 21.03/3.50 % (1283271)------------------------------
% 21.03/3.50 % (1283271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.03/3.50 % (1283271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.50 % (1283271)CaDiCaL version: 2.1.3
% 21.03/3.50 % (1283271)Termination reason: Instruction limit
% 21.03/3.50 % (1283271)Termination phase: Finite model building constraint generation
% 21.03/3.50 % (1283271)Time elapsed: 0.138 s
% 21.03/3.50 % (1283271)Peak memory usage: 35 MB
% 21.03/3.50 % (1283271)Instructions burned: 718 (million)
% 21.03/3.50 % (1283279)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2758353559:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 21.03/3.50 % (1283281)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2263581661:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.03/3.50 % Detected minimum model sizes of [3]
% 21.03/3.50 % Detected maximum model sizes of [max]
% 21.03/3.50 % TRYING [3]
% 21.03/3.50 % TRYING [4]
% 21.03/3.50 % (1283277)Instruction limit reached!
% 21.03/3.50 % (1283277)------------------------------
% 21.03/3.50 % (1283277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.03/3.50 % (1283277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.50 % (1283277)CaDiCaL version: 2.1.3
% 21.03/3.50 % (1283277)Termination reason: Instruction limit
% 21.03/3.50 % (1283277)Termination phase: Saturation
% 21.03/3.50 % (1283277)Time elapsed: 0.093 s
% 21.03/3.50 % (1283277)Peak memory usage: 13 MB
% 21.03/3.50 % (1283277)Instructions burned: 180 (million)
% 21.03/3.50 % (1283283)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2667645119:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 21.03/3.50 % TRYING [5]
% 21.03/3.50 % TRYING [7]
% 21.03/3.50 % TRYING [6]
% 21.03/3.50 % (1283281)Instruction limit reached!
% 21.03/3.50 % (1283281)------------------------------
% 21.03/3.50 % (1283281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.03/3.50 % (1283281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.50 % (1283281)CaDiCaL version: 2.1.3
% 21.03/3.50 % (1283281)Termination reason: Instruction limit
% 21.03/3.50 % (1283281)Termination phase: Finite model building constraint generation
% 21.03/3.50 % (1283281)Time elapsed: 0.186 s
% 21.03/3.50 % (1283281)Peak memory usage: 22 MB
% 21.03/3.50 % (1283281)Instructions burned: 869 (million)
% 21.03/3.50 % (1283285)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1635858400:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 21.03/3.50 % (1283274)Instruction limit reached!
% 21.03/3.50 % (1283274)------------------------------
% 21.03/3.50 % (1283274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.03/3.50 % (1283274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.50 % (1283274)CaDiCaL version: 2.1.3
% 21.03/3.50 % (1283274)Termination reason: Instruction limit
% 21.03/3.50 % (1283274)Termination phase: Saturation
% 21.03/3.50 % (1283274)Time elapsed: 0.374 s
% 21.03/3.50 % (1283274)Peak memory usage: 18 MB
% 21.03/3.50 % (1283274)Instructions burned: 685 (million)
% 21.03/3.50 % TRYING [14]
% 21.03/3.50 % (1283287)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=623043596:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 21.03/3.50 % (1283279)Instruction limit reached!
% 21.03/3.50 % (1283279)------------------------------
% 21.03/3.50 % (1283279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.03/3.50 % (1283279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.50 % (1283279)CaDiCaL version: 2.1.3
% 21.03/3.50 % (1283279)Termination reason: Instruction limit
% 21.03/3.50 % (1283279)Termination phase: Saturation
% 21.03/3.50 % (1283279)Time elapsed: 0.311 s
% 21.03/3.50 % (1283279)Peak memory usage: 15 MB
% 21.03/3.50 % (1283279)Instructions burned: 478 (million)
% 21.03/3.50 % (1283289)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3558161361:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 21.03/3.50 % (1283285)Instruction limit reached!
% 21.03/3.50 % (1283285)------------------------------
% 21.03/3.50 % (1283285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.03/3.50 % (1283285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.50 % (1283285)CaDiCaL version: 2.1.3
% 21.03/3.50 % (1283285)Termination reason: Instruction limit
% 21.03/3.50 % (1283285)Termination phase: Finite model building constraint generation
% 21.03/3.50 % (1283285)Time elapsed: 0.191 s
% 21.03/3.50 % (1283285)Peak memory usage: 80 MB
% 21.03/3.50 % (1283285)Instructions burned: 891 (million)
% 21.03/3.50 % (1283291)fmb+10_1_sil=64000:random_seed=3537287874:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 21.03/3.50 % Detected minimum model sizes of [3]
% 21.03/3.50 % Detected maximum model sizes of [max]
% 21.03/3.50 % TRYING [3]
% 21.03/3.50 % TRYING [4]
% 21.03/3.50 % TRYING [5]
% 21.03/3.50 % TRYING [8]
% 21.03/3.50 % TRYING [6]
% 21.03/3.50 % (1283287)Instruction limit reached!
% 21.03/3.50 % (1283287)------------------------------
% 21.03/3.50 % (1283287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.03/3.50 % (1283287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.50 % (1283287)CaDiCaL version: 2.1.3
% 21.03/3.50 % (1283287)Termination reason: Instruction limit
% 21.03/3.50 % (1283287)Termination phase: Saturation
% 21.03/3.50 % (1283287)Time elapsed: 0.355 s
% 21.03/3.50 % (1283287)Peak memory usage: 20 MB
% 21.03/3.50 % (1283287)Instructions burned: 693 (million)
% 21.03/3.50 % (1283293)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1804100960:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 21.03/3.50 % (1283283)Instruction limit reached!
% 21.03/3.50 % (1283283)------------------------------
% 21.03/3.50 % (1283283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.03/3.50 % (1283283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.50 % (1283283)CaDiCaL version: 2.1.3
% 21.03/3.50 % (1283283)Termination reason: Instruction limit
% 21.03/3.50 % (1283283)Termination phase: Saturation
% 21.03/3.50 % (1283283)Time elapsed: 0.632 s
% 21.03/3.50 % (1283283)Peak memory usage: 23 MB
% 21.03/3.50 % (1283283)Instructions burned: 1180 (million)
% 21.03/3.50 % Detected minimum model sizes of [3]
% 21.03/3.50 % Detected maximum model sizes of [max]
% 21.03/3.50 % TRYING [20]
% 21.03/3.50 % (1283295)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=248922747:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 21.03/3.50 % Detected minimum model sizes of [3]
% 21.03/3.50 % Detected maximum model sizes of [max]
% 21.03/3.50 % TRYING [8]
% 21.03/3.50 % (1283289)Instruction limit reached!
% 21.03/3.50 % (1283289)------------------------------
% 21.03/3.50 % (1283289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.03/3.50 % (1283289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.50 % (1283289)CaDiCaL version: 2.1.3
% 21.03/3.50 % (1283289)Termination reason: Instruction limit
% 21.03/3.50 % (1283289)Termination phase: Saturation
% 21.03/3.50 % (1283289)Time elapsed: 0.492 s
% 21.03/3.50 % (1283289)Peak memory usage: 20 MB
% 21.03/3.50 % (1283289)Instructions burned: 879 (million)
% 21.03/3.50 % (1283297)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2892341663:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 21.03/3.50 % TRYING [7]
% 21.03/3.50 % (1283295)Instruction limit reached!
% 21.03/3.50 % (1283295)------------------------------
% 21.03/3.50 % (1283295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.03/3.50 % (1283295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.03/3.50 % (1283295)CaDiCaL version: 2.1.3
% 21.03/3.50 % (1283295)Termination reason: Instruction limit
% 21.03/3.50 % (1283295)Termination phase: Finite model building constraint generation
% 21.03/3.50 % (1283295)Time elapsed: 0.339 s
% 21.03/3.50 % (1283295)Peak memory usage: 66 MB
% 21.03/3.50 % (1283295)Instructions burned: 922 (million)
% 21.03/3.50 % (1283299)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1383736813:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 21.03/3.50 % TRYING [9]
% 21.03/3.50 % TRYING [8]
% 21.03/3.50 % (1283299)Instruction limit reached!
% 21.03/3.50 % (1283299)------------------------------
% 21.03/3.50 % (1283299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.03/3.50 % (1283299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/3.50 % (1283299)CaDiCaL version: 2.1.3
% 0.18/3.50 % (1283299)Termination reason: Instruction limit
% 0.18/3.50 % (1283299)Termination phase: Saturation
% 0.18/3.50 % (1283299)Time elapsed: 0.710 s
% 0.18/3.50 % (1283299)Peak memory usage: 32 MB
% 0.18/3.50 % (1283299)Instructions burned: 1473 (million)
% 0.18/3.50 % (1283301)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2497850124:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 0.18/3.50 % Detected minimum model sizes of [3]
% 0.18/3.50 % Detected maximum model sizes of [max]
% 0.18/3.50 % TRYING [77]
% 0.18/3.50 % (1283297) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1283252-1283297"...
% 0.18/3.50 % (1283297)...printing done.
% 0.18/3.50 % (1283297)Refutation found. Thanks to Tanya!
% 0.18/3.50 % SZS status Theorem for theBenchmark
% 0.18/3.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/3.50 % (1283297)------------------------------
% 0.18/3.50 % (1283297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/3.50 % (1283297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/3.50 % (1283297)CaDiCaL version: 2.1.3
% 0.18/3.50 % (1283297)Termination reason: Refutation
% 0.18/3.50 % (1283297)Time elapsed: 1.945 s
% 0.18/3.50 % (1283297)Peak memory usage: 35 MB
% 0.18/3.50 % (1283297)Instructions burned: 3760 (million)
% 0.18/3.50 % (1283252)Success in time 3.064 s
% 0.18/3.50 % Vampire exiting
%------------------------------------------------------------------------------