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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ARI002_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 09:33:50 AM UTC 2026

% Result   : Theorem 0.25s 0.35s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    5 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number arithmetic     :   12 (   4 atm;   0 fun;   8 num;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   0 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,conjecture,
    ~ $less(3,2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_3_not_less_2) ).

tff(f2,negated_conjecture,
    ~ ~ $less(3,2),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f15,plain,
    $less(3,2),
    inference(flattening,[],[f2]) ).

tff(f16,plain,
    $less(3,2),
    inference(cnf_transformation,[],[f15]) ).

tff(f17,plain,
    $false,
    inference(evaluation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : ARI002_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.27  % Computer : n014.cluster.edu
% 0.11/0.27  % Model    : x86_64 x86_64
% 0.11/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27  % Memory   : 8046.5625MB
% 0.11/0.27  % OS       : Linux 6.8.0-71-generic
% 0.11/0.27  % CPULimit : 300
% 0.11/0.27  % WCLimit  : 300
% 0.11/0.27  % DateTime : Mon Sep 28 20:40:31 UTC 2026
% 0.11/0.27  % CPUTime  : 
% 0.11/0.27  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.32  Running first-order model finding
% 0.25/0.32  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
% 0.25/0.35  % (2143503)Will run a generic schedule for satisfiability detection.
% 0.25/0.35  % (2143512)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=763456831:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.25/0.35  % (2143512) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2143503-2143512"...
% 0.25/0.35  % (2143512)...printing done.
% 0.25/0.35  % (2143512)Refutation found. Thanks to Tanya!
% 0.25/0.35  % SZS status Theorem for theBenchmark
% 0.25/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.35  % (2143512)------------------------------
% 0.25/0.35  % (2143512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.35  % (2143512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.35  % (2143512)CaDiCaL version: 2.1.3
% 0.25/0.35  % (2143512)Termination reason: Refutation
% 0.25/0.35  % (2143512)Time elapsed: 0.001 s
% 0.25/0.35  % (2143512)Peak memory usage: 11 MB
% 0.25/0.35  % (2143503)Success in time 0.023 s
% 0.25/0.35  % Vampire exiting
%------------------------------------------------------------------------------