%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG046+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 : n009.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 12:35:51 PM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 63 ( 36 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 53 ( 17 ~; 14 |; 19 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f18,axiom,
( aScalar0(xx)
& aScalar0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
fof(f19,conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f20,negated_conjecture,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f24,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(flattening,[],[f20]) ).
fof(f35,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f36,plain,
! [X0] :
( ( sdtpldt0(X0,sz0z00) = X0
& sdtpldt0(sz0z00,X0) = X0
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtpldt0(smndt0(X0),X0) = sz0z00
& smndt0(smndt0(X0)) = X0
& smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f43,plain,
! [X0,X1] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f44,plain,
! [X0,X1] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f43]) ).
fof(f55,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f57,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f72,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f73,plain,
aScalar0(xy),
inference(cnf_transformation,[],[f18]) ).
fof(f74,plain,
aScalar0(xx),
inference(cnf_transformation,[],[f18]) ).
fof(f75,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) != sdtasdt0(xx,xy),
inference(cnf_transformation,[],[f24]) ).
fof(f93,plain,
aScalar0(smndt0(xy)),
inference(resolution,[],[f55,f73]) ).
fof(f104,plain,
xy = smndt0(smndt0(xy)),
inference(resolution,[],[f57,f73]) ).
fof(f250,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(xx),X0) = smndt0(sdtasdt0(xx,X0)) ),
inference(resolution,[],[f71,f74]) ).
fof(f262,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(xx,X0)) = sdtasdt0(xx,smndt0(X0)) ),
inference(resolution,[],[f72,f74]) ).
fof(f1143,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) = smndt0(sdtasdt0(xx,smndt0(xy))),
inference(resolution,[],[f250,f93]) ).
fof(f1329,plain,
sdtasdt0(xx,smndt0(smndt0(xy))) = smndt0(sdtasdt0(xx,smndt0(xy))),
inference(resolution,[],[f262,f93]) ).
fof(f1333,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,smndt0(smndt0(xy))),
inference(forward_demodulation,[],[f1329,f1143]) ).
fof(f1356,plain,
sdtasdt0(smndt0(xx),smndt0(xy)) = sdtasdt0(xx,xy),
inference(forward_demodulation,[],[f1333,f104]) ).
fof(f1368,plain,
$false,
inference(forward_subsumption_resolution,[],[f1356,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG046+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 23:02:30 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.17/0.49 % (2507637)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (2507642)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=202665339_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % TRYING [3]
% 0.17/0.49 % (2507645)dis+10_1_sil=32000:sp=arity:random_seed=150862575:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (2507644)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1600589161:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (2507646)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2081317267:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (2507647)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1010587611:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % TRYING [4]
% 0.17/0.49 % (2507643)% WARNING: option uhcvi not known.
% 0.17/0.49 % (2507648)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=50071655:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % (2507643)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1337796967:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % TRYING [5]
% 0.17/0.49 % (2507647) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2507637-2507647"...
% 0.17/0.49 % (2507647)...printing done.
% 0.17/0.49 % (2507647)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (2507647)------------------------------
% 0.17/0.49 % (2507647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (2507647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (2507647)CaDiCaL version: 2.1.3
% 0.17/0.49 % (2507647)Termination reason: Refutation
% 0.17/0.49 % (2507647)Time elapsed: 0.025 s
% 0.17/0.49 % (2507647)Peak memory usage: 13 MB
% 0.17/0.49 % (2507647)Instructions burned: 43 (million)
% 0.17/0.49 % (2507637)Success in time 0.073 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------