%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM491+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 : n004.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 12:24:31 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 17 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 16 ( 7 ~; 4 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f48,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xp,xm) = sdtasdt0(xp,X0) )
| doDivides0(xp,sdtasdt0(xp,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f49,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xp,xm) = sdtasdt0(xp,X0) )
| doDivides0(xp,sdtasdt0(xp,xm)) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f122,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != sdtasdt0(xp,xm) )
& ~ doDivides0(xp,sdtasdt0(xp,xm)) ),
inference(ennf_transformation,[],[f49]) ).
fof(f221,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f262,plain,
! [X0] :
( sdtasdt0(xp,X0) != sdtasdt0(xp,xm)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f282,plain,
~ aNaturalNumber0(xm),
inference(equality_resolution,[],[f262]) ).
fof(f283,plain,
$false,
inference(global_subsumption,[],[f282,f221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM491+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 20:10:22 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.16/0.46 % (3847960)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (3847967)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=370924324:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (3847967) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3847960-3847967"...
% 0.16/0.46 % (3847966)% WARNING: option uhcvi not known.
% 0.16/0.46 % (3847967)...printing done.
% 0.16/0.46 % (3847967)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (3847967)------------------------------
% 0.16/0.46 % (3847967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (3847967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (3847967)CaDiCaL version: 2.1.3
% 0.16/0.46 % (3847967)Termination reason: Refutation
% 0.16/0.46 % (3847967)Time elapsed: 0.003 s
% 0.16/0.46 % (3847967)Peak memory usage: 12 MB
% 0.16/0.46 % (3847967)Instructions burned: 6 (million)
% 0.16/0.46 % (3847960)Success in time 0.036 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------