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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ARI626_1 : TPTP v9.3.1. Released v6.1.0.
% 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 09:35:00 AM UTC 2026

% Result   : Theorem 0.26s 0.31s
% Output   : Refutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   2   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   35 (   6 atm;   6 fun;  18 num;   5 var)
%            Number of types       :    1 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    5 (   2   !;   3   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,conjecture,
    ? [X0: $int] :
      ( ( X0 = $sum(18446744073709551616,18446744073709551616) )
      & $greater(X0,0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] :
        ( ( X0 = $sum(18446744073709551616,18446744073709551616) )
        & $greater(X0,0) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f3,plain,
    ~ ? [X0: $int] :
        ( ( X0 = $sum(18446744073709551616,18446744073709551616) )
        & $less(0,X0) ),
    inference(theory_normalization,[],[f2]) ).

tff(f16,plain,
    ! [X0: $int] :
      ( ( $sum(18446744073709551616,18446744073709551616) != X0 )
      | ~ $less(0,X0) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f17,plain,
    ! [X0: $int] :
      ( ~ $less(0,X0)
      | ( $sum(18446744073709551616,18446744073709551616) != X0 ) ),
    inference(cnf_transformation,[],[f16]) ).

tff(f18,plain,
    ~ $less(0,$sum(18446744073709551616,18446744073709551616)),
    inference(equality_resolution,[],[f17]) ).

tff(f19,plain,
    $false,
    inference(evaluation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ARI626_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22  % Computer : n004.cluster.edu
% 0.11/0.22  % Model    : x86_64 x86_64
% 0.11/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22  % Memory   : 8046.5625MB
% 0.11/0.22  % OS       : Linux 6.8.0-71-generic
% 0.11/0.22  % CPULimit : 300
% 0.11/0.22  % WCLimit  : 300
% 0.11/0.22  % DateTime : Mon Sep 28 20:54:07 UTC 2026
% 0.11/0.22  % CPUTime  : 
% 0.11/0.22  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.27  Running first-order model finding
% 0.11/0.27  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
% 0.26/0.31  % (764326)Will run a generic schedule for satisfiability detection.
% 0.26/0.31  % (764335)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4003747169:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.26/0.31  % (764335) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-764326-764335"...
% 0.26/0.31  % (764335)...printing done.
% 0.26/0.31  % (764335)Refutation found. Thanks to Tanya!
% 0.26/0.31  % SZS status Theorem for theBenchmark
% 0.26/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.31  % (764335)------------------------------
% 0.26/0.31  % (764335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.31  % (764335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.31  % (764335)CaDiCaL version: 2.1.3
% 0.26/0.31  % (764335)Termination reason: Refutation
% 0.26/0.31  % (764335)Time elapsed: 0.001 s
% 0.26/0.31  % (764335)Peak memory usage: 11 MB
% 0.26/0.31  % (764326)Success in time 0.024 s
% 0.26/0.31  % Vampire exiting
%------------------------------------------------------------------------------