%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM519+3 : 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 12:24:39 PM UTC 2026
% Result : ContradictoryAxioms 0.23s 0.56s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 11 unt; 4 def)
% Number of atoms : 89 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 78 ( 27 ~; 24 |; 24 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 2 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
( ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
& doDivides0(xr,xn) )
| ( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xr,X0) )
& doDivides0(xr,xm) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2449) ).
fof(f52,axiom,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
| doDivides0(xr,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f53,axiom,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xr,X0) )
| doDivides0(xr,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2698) ).
fof(f63,plain,
( ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
& doDivides0(xr,xn) )
| ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
& doDivides0(xr,xm) ) ),
inference(rectify,[],[f51]) ).
fof(f138,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtasdt0(xr,X0) )
& ~ doDivides0(xr,xn) ),
inference(ennf_transformation,[],[f52]) ).
fof(f139,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xm != sdtasdt0(xr,X0) )
& ~ doDivides0(xr,xm) ),
inference(ennf_transformation,[],[f53]) ).
fof(f144,definition,
( ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
& doDivides0(xr,xm) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f145,plain,
( ( ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xr,X0) )
& doDivides0(xr,xn) )
| sP2 ),
inference(definition_folding,[],[f63,f144]) ).
fof(f174,plain,
( ( ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xr,X1) )
& doDivides0(xr,xm) )
| ~ sP2 ),
inference(nnf_transformation,[],[f144]) ).
fof(f175,plain,
( ( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xr,X0) )
& doDivides0(xr,xm) )
| ~ sP2 ),
inference(rectify,[],[f174]) ).
fof(f176,plain,
( ( aNaturalNumber0(sK18)
& xm = sdtasdt0(xr,sK18)
& doDivides0(xr,xm) )
| ~ sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X0,sK18)],[f175]) ).
fof(f177,plain,
( ( aNaturalNumber0(sK19)
& xn = sdtasdt0(xr,sK19)
& doDivides0(xr,xn) )
| sP2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f145]) ).
fof(f310,plain,
( doDivides0(xr,xm)
| ~ sP2 ),
inference(cnf_transformation,[],[f176]) ).
fof(f313,plain,
( doDivides0(xr,xn)
| sP2 ),
inference(cnf_transformation,[],[f177]) ).
fof(f316,plain,
~ doDivides0(xr,xn),
inference(cnf_transformation,[],[f138]) ).
fof(f318,plain,
~ doDivides0(xr,xm),
inference(cnf_transformation,[],[f139]) ).
fof(f373,plain,
( ~ doDivides0(xr,xm)
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f310]) ).
fof(f374,plain,
( ~ doDivides0(xr,xn)
| sP2 ),
inference(consistent_polarity_flipping,[],[f313]) ).
fof(f375,plain,
doDivides0(xr,xn),
inference(consistent_polarity_flipping,[],[f316]) ).
fof(f376,plain,
doDivides0(xr,xm),
inference(consistent_polarity_flipping,[],[f318]) ).
fof(f381,definition,
( spl20_1
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f385,definition,
( spl20_2
<=> doDivides0(xr,xn) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f387,plain,
( ~ doDivides0(xr,xn)
| spl20_2 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f388,plain,
( spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f374,f385,f381]) ).
fof(f400,definition,
( spl20_5
<=> doDivides0(xr,xm) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f402,plain,
( ~ doDivides0(xr,xm)
| spl20_5 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f403,plain,
( ~ spl20_1
| ~ spl20_5 ),
inference(avatar_split_clause,[],[f373,f400,f381]) ).
fof(f434,plain,
( $false
| spl20_2 ),
inference(resolution,[],[f387,f375]) ).
fof(f435,plain,
spl20_2,
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f436,plain,
( $false
| spl20_5 ),
inference(resolution,[],[f402,f376]) ).
fof(f437,plain,
spl20_5,
inference(avatar_contradiction_clause,[],[f436]) ).
cnf(s1,plain,
( spl20_1
| ~ spl20_2 ),
inference(sat_conversion,[],[f388]) ).
cnf(s4,plain,
( ~ spl20_1
| ~ spl20_5 ),
inference(sat_conversion,[],[f403]) ).
cnf(s11,plain,
spl20_2,
inference(sat_conversion,[],[f435]) ).
cnf(s12,plain,
spl20_5,
inference(sat_conversion,[],[f437]) ).
cnf(s15,plain,
~ spl20_1,
inference(rat,[],[s4,s12]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s11,s15]) ).
fof(f438,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM519+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.18/0.45 % Computer : n020.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sun Sep 27 20:18:49 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.51 Running first-order model finding
% 0.23/0.51 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
% 0.23/0.56 % (3714925)Will run a generic schedule for satisfiability detection.
% 0.23/0.56 % (3714936)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=84090638:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.56 % (3714931)% WARNING: option uhcvi not known.
% 0.23/0.56 % (3714936) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3714925-3714936"...
% 0.23/0.56 % (3714936)...printing done.
% 0.23/0.56 % (3714936)Refutation found. Thanks to Tanya!
% 0.23/0.56 % SZS status ContradictoryAxioms for theBenchmark
% 0.23/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.56 % (3714936)------------------------------
% 0.23/0.56 % (3714936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.56 % (3714936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.56 % (3714936)CaDiCaL version: 2.1.3
% 0.23/0.56 % (3714936)Termination reason: Refutation
% 0.23/0.56 % (3714936)Time elapsed: 0.006 s
% 0.23/0.56 % (3714936)Peak memory usage: 12 MB
% 0.23/0.56 % (3714936)Instructions burned: 10 (million)
% 0.23/0.56 % (3714925)Success in time 0.036 s
% 0.23/0.56 % Vampire exiting
%------------------------------------------------------------------------------