%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : ARI742_1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 18:51:24 EDT 2024

% Result   : Theorem 0.15s 0.37s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (  13 unt;   2 typ;   0 def)
%            Number of atoms       :   23 (  16 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   45 (   6 atm;   7 fun;  23 num;   9 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    sqr: $real > $real ).

tff(func_def_2,type,
    sqrt: $real > $real ).

tff(f99,plain,
    $false,
    inference(trivial_inequality_removal,[],[f97]) ).

tff(f97,plain,
    0.0 != 0.0,
    inference(superposition,[],[f39,f95]) ).

tff(f95,plain,
    0.0 = sqrt(0.0),
    inference(forward_demodulation,[],[f93,f50]) ).

tff(f50,plain,
    0.0 = sqr(0.0),
    inference(superposition,[],[f40,f28]) ).

tff(f28,plain,
    ! [X0: $real] : ( 0.0 = $product(X0,0.0) ),
    introduced(theory_axiom_149,[]) ).

tff(f40,plain,
    ! [X0: $real] : ( sqr(X0) = $product(X0,X0) ),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ! [X0: $real] : ( sqr(X0) = $product(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sqr_def) ).

tff(f93,plain,
    0.0 = sqrt(sqr(0.0)),
    inference(resolution,[],[f47,f19]) ).

tff(f19,plain,
    ! [X0: $real] : ~ $less(X0,X0),
    introduced(theory_axiom_142,[]) ).

tff(f47,plain,
    ! [X0: $real] :
      ( $less(X0,0.0)
      | ( sqrt(sqr(X0)) = X0 ) ),
    inference(forward_demodulation,[],[f43,f40]) ).

tff(f43,plain,
    ! [X0: $real] :
      ( ( sqrt($product(X0,X0)) = X0 )
      | $less(X0,0.0) ),
    inference(cnf_transformation,[],[f34]) ).

tff(f34,plain,
    ! [X0: $real] :
      ( ( sqrt($product(X0,X0)) = X0 )
      | $less(X0,0.0) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f11,plain,
    ! [X0: $real] :
      ( ~ $less(X0,0.0)
     => ( sqrt($product(X0,X0)) = X0 ) ),
    inference(theory_normalization,[],[f4]) ).

tff(f4,axiom,
    ! [X0: $real] :
      ( $lesseq(0.0,X0)
     => ( sqrt($product(X0,X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square_sqrt) ).

tff(f39,plain,
    0.0 != sqrt(0.0),
    inference(cnf_transformation,[],[f31]) ).

tff(f31,plain,
    0.0 != sqrt(0.0),
    inference(flattening,[],[f8]) ).

tff(f8,negated_conjecture,
    ( ~ 0.0 = sqrt(0.0) ),
    inference(negated_conjecture,[],[f7]) ).

tff(f7,conjecture,
    0.0 = sqrt(0.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sqrt_zero) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ARI742_1 : TPTP v8.2.0. Released v7.0.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n025.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 13:05:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (30185)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36  % (30191)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.37  % (30191)First to succeed.
% 0.15/0.37  % (30191)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30185"
% 0.15/0.37  % (30188)WARNING: value z3 for option sas not known
% 0.15/0.37  % (30191)Refutation found. Thanks to Tanya!
% 0.15/0.37  % SZS status Theorem for theBenchmark
% 0.15/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37  % (30191)------------------------------
% 0.15/0.37  % (30191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (30191)Termination reason: Refutation
% 0.15/0.37  
% 0.15/0.37  % (30191)Memory used [KB]: 838
% 0.15/0.37  % (30191)Time elapsed: 0.004 s
% 0.15/0.37  % (30191)Instructions burned: 6 (million)
% 0.15/0.37  % (30185)Success in time 0.015 s
%------------------------------------------------------------------------------