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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM489+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 : n017.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 0.11s 0.45s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   6 unt;   0 def)
%            Number of atoms       :    9 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    5 (   3   ~;   0   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,axiom,
    ( aNaturalNumber0(xr)
    & sdtpldt0(xp,xr) = xn
    & xr = sdtmndt0(xn,xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).

fof(f45,conjecture,
    xn = sdtpldt0(xp,xr),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f46,negated_conjecture,
    xn != sdtpldt0(xp,xr),
    inference(negated_conjecture,[status(cth)],[f45]) ).

fof(f51,plain,
    xn != sdtpldt0(xp,xr),
    inference(flattening,[],[f46]) ).

fof(f248,plain,
    xn = sdtpldt0(xp,xr),
    inference(cnf_transformation,[],[f43]) ).

fof(f254,plain,
    xn != sdtpldt0(xp,xr),
    inference(cnf_transformation,[],[f51]) ).

fof(f288,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f248,f254]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM489+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n017.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 20:05:20 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  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
% 0.11/0.45  % (2903177)Will run a generic schedule for satisfiability detection.
% 0.11/0.45  % (2903185)dis+10_1_sil=32000:sp=arity:random_seed=3600857095:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45  % (2903185) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2903177-2903185"...
% 0.11/0.45  % (2903183)% WARNING: option uhcvi not known.
% 0.11/0.45  % (2903185)...printing done.
% 0.11/0.45  % (2903185)Refutation found. Thanks to Tanya!
% 0.11/0.45  % SZS status Theorem for theBenchmark
% 0.11/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45  % (2903185)------------------------------
% 0.11/0.45  % (2903185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45  % (2903185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45  % (2903185)CaDiCaL version: 2.1.3
% 0.11/0.45  % (2903185)Termination reason: Refutation
% 0.11/0.45  % (2903185)Time elapsed: 0.002 s
% 0.11/0.45  % (2903185)Peak memory usage: 12 MB
% 0.11/0.45  % (2903185)Instructions burned: 5 (million)
% 0.11/0.45  % (2903177)Success in time 0.03 s
% 0.11/0.45  % Vampire exiting
%------------------------------------------------------------------------------