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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ARI433_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n018.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 09:34:37 AM UTC 2026

% Result   : Theorem 0.07s 0.25s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    6 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :    6 (   5 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   18 (   0 atm;   8 fun;   5 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  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   2   !;   3   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,conjecture,
    ? [X0: $real] : ( $difference(X0,0/1) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_difference_problem_9) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : ( $difference(X0,0/1) = X0 ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f3,plain,
    ~ ? [X0: $real] : ( $sum(X0,$uminus(0/1)) = X0 ),
    inference(theory_normalization,[],[f2]) ).

tff(f15,plain,
    ! [X0: $real] : ( $sum(X0,$uminus(0/1)) != X0 ),
    inference(ennf_transformation,[],[f3]) ).

tff(f16,plain,
    ! [X0: $real] : ( $sum(X0,$uminus(0/1)) != X0 ),
    inference(cnf_transformation,[],[f15]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ARI433_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n018.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 20:52:10 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  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
% 0.07/0.25  % (3759577)Will run a generic schedule for satisfiability detection.
% 0.07/0.25  % (3759586)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2523153856:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.25  % (3759586) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3759577-3759586"...
% 0.07/0.25  % (3759586)...printing done.
% 0.07/0.25  % (3759583)% WARNING: option uhcvi not known.
% 0.07/0.25  % (3759586)Refutation found. Thanks to Tanya!
% 0.07/0.25  % SZS status Theorem for theBenchmark
% 0.07/0.25  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25  % (3759586)------------------------------
% 0.07/0.25  % (3759586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25  % (3759586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25  % (3759586)CaDiCaL version: 2.1.3
% 0.07/0.25  % (3759586)Termination reason: Refutation
% 0.07/0.25  % (3759586)Time elapsed: 0.001 s
% 0.07/0.25  % (3759586)Peak memory usage: 12 MB
% 0.07/0.25  % (3759577)Success in time 0.031 s
% 0.07/0.26  % Vampire exiting
%------------------------------------------------------------------------------