%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM477+2 : 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 : 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 12:24:28 PM UTC 2026
% Result : Theorem 0.07s 0.37s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 13 unt; 1 def)
% Number of atoms : 75 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 28 ~; 24 |; 13 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 12 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( X0 != sz00
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
fof(f35,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1494) ).
fof(f36,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xm,X0) )
& doDivides0(xm,xn)
& xn != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1494_04) ).
fof(f37,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
| sdtlseqdt0(xm,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f38,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = xn )
| sdtlseqdt0(xm,xn) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f56,plain,
! [X0] :
( ( sdtasdt0(X0,sz00) = sz00
& sz00 = sdtasdt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f84,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f85,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f84]) ).
fof(f96,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(xm,X0) )
& ~ sdtlseqdt0(xm,xn) ),
inference(ennf_transformation,[],[f38]) ).
fof(f107,plain,
( aNaturalNumber0(sK2)
& xn = sdtasdt0(xm,sK2)
& doDivides0(xm,xn)
& xn != sz00 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f36]) ).
fof(f122,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f56]) ).
fof(f153,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f164,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f35]) ).
fof(f165,plain,
sz00 != xn,
inference(cnf_transformation,[],[f107]) ).
fof(f167,plain,
xn = sdtasdt0(xm,sK2),
inference(cnf_transformation,[],[f107]) ).
fof(f168,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f107]) ).
fof(f169,plain,
~ sdtlseqdt0(xm,xn),
inference(cnf_transformation,[],[f96]) ).
fof(f211,plain,
sz00 = sdtasdt0(xm,sz00),
inference(resolution,[],[f122,f164]) ).
fof(f295,plain,
( sdtlseqdt0(xm,xn)
| sz00 = sK2
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f153,f167]) ).
fof(f299,plain,
( sz00 = sK2
| ~ aNaturalNumber0(sK2)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f295,f169]) ).
fof(f303,plain,
( sz00 = sK2
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f299,f168]) ).
fof(f307,plain,
sz00 = sK2,
inference(forward_subsumption_resolution,[],[f303,f164]) ).
fof(f309,definition,
( spl3_1
<=> sz00 = sK2 ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f311,plain,
( sz00 = sK2
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f327,plain,
spl3_1,
inference(avatar_split_clause,[],[f307,f309]) ).
fof(f328,plain,
( xn = sdtasdt0(xm,sz00)
| ~ spl3_1 ),
inference(superposition,[],[f167,f311]) ).
fof(f335,plain,
( sz00 = xn
| ~ spl3_1 ),
inference(forward_demodulation,[],[f328,f211]) ).
fof(f336,plain,
( $false
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f335,f165]) ).
fof(f337,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f336]) ).
cnf(s3,plain,
spl3_1,
inference(sat_conversion,[],[f327]) ).
cnf(s4,plain,
~ spl3_1,
inference(sat_conversion,[],[f337]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s3,s4]) ).
fof(f338,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM477+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 20:05:35 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 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
% 0.07/0.37 % (2700781)Will run a generic schedule for satisfiability detection.
% 0.07/0.37 % (2700787)% WARNING: option uhcvi not known.
% 0.07/0.37 % (2700791)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3595799120:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.37 % (2700786)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3845846049_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.37 % (2700788)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=143329466:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.37 % (2700787)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1909700196:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.37 % (2700790)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2229007225:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.37 % (2700789)dis+10_1_sil=32000:sp=arity:random_seed=869158330:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.37 % (2700792)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2343535441:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.37 % TRYING [1]
% 0.07/0.37 % TRYING [2]
% 0.07/0.37 % (2700789) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2700781-2700789"...
% 0.07/0.37 % TRYING [3]
% 0.07/0.37 % (2700789)...printing done.
% 0.07/0.37 % (2700789)Refutation found. Thanks to Tanya!
% 0.07/0.37 % SZS status Theorem for theBenchmark
% 0.07/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.37 % (2700789)------------------------------
% 0.07/0.37 % (2700789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.37 % (2700789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.37 % (2700789)CaDiCaL version: 2.1.3
% 0.07/0.37 % (2700789)Termination reason: Refutation
% 0.07/0.37 % (2700789)Time elapsed: 0.003 s
% 0.07/0.37 % (2700789)Peak memory usage: 12 MB
% 0.07/0.37 % (2700789)Instructions burned: 9 (million)
% 0.07/0.37 % (2700781)Success in time 0.036 s
% 0.07/0.37 % Vampire exiting
%------------------------------------------------------------------------------