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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP118^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gchPeSQhuT true

% Computer : n019.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 : Thu Oct  2 04:38:53 PM UTC 2025

% Result   : Theorem 0.51s 0.80s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (  11 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   75 (   3   ~;   0   |;   0   &;  72   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    4 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(real_type,type,
    real: $tType ).

thf(int_type,type,
    int: $tType ).

thf(finite1489363574real_n_type,type,
    finite1489363574real_n: $tType ).

thf(n_type,type,
    n: $tType ).

thf(x_type,type,
    x: finite1489363574real_n ).

thf(m_type,type,
    m: int ).

thf(finite772340589real_n_type,type,
    finite772340589real_n: finite1489363574real_n > n > real ).

thf(i_type,type,
    i: n ).

thf(ring_1_of_int_real_type,type,
    ring_1_of_int_real: int > real ).

thf(y_type,type,
    y: finite1489363574real_n ).

thf(minus_minus_real_type,type,
    minus_minus_real: real > real > real ).

thf(minus_1037315151real_n_type,type,
    minus_1037315151real_n: finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ).

thf(abs_abs_int_type,type,
    abs_abs_int: int > int ).

thf(abs_abs_real_type,type,
    abs_abs_real: real > real ).

thf(conj_0,conjecture,
    ( ( ring_1_of_int_real @ ( abs_abs_int @ m ) )
    = ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( ring_1_of_int_real @ ( abs_abs_int @ m ) )
   != ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl42,plain,
    ( ( ring_1_of_int_real @ ( abs_abs_int @ m ) )
   != ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_6_vector__minus__component,axiom,
    ! [X: finite1489363574real_n,Y: finite1489363574real_n,I: n] :
      ( ( finite772340589real_n @ ( minus_1037315151real_n @ X @ Y ) @ I )
      = ( minus_minus_real @ ( finite772340589real_n @ X @ I ) @ ( finite772340589real_n @ Y @ I ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: finite1489363574real_n,X1: n,X2: finite1489363574real_n] :
      ( ( finite772340589real_n @ ( minus_1037315151real_n @ X0 @ X2 ) @ X1 )
      = ( minus_minus_real @ ( finite772340589real_n @ X0 @ X1 ) @ ( finite772340589real_n @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_6_vector__minus__component]) ).

thf(fact_2_m,axiom,
    ( ( ring_1_of_int_real @ m )
    = ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) ) ) ).

thf(zip_derived_cl0,plain,
    ( ( ring_1_of_int_real @ m )
    = ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) ) ),
    inference(cnf,[status(esa)],[fact_2_m]) ).

thf(zip_derived_cl142,plain,
    ( ( ring_1_of_int_real @ m )
    = ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(fact_9_of__int__abs,axiom,
    ! [X: int] :
      ( ( ring_1_of_int_real @ ( abs_abs_int @ X ) )
      = ( abs_abs_real @ ( ring_1_of_int_real @ X ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: int] :
      ( ( ring_1_of_int_real @ ( abs_abs_int @ X0 ) )
      = ( abs_abs_real @ ( ring_1_of_int_real @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_9_of__int__abs]) ).

thf(zip_derived_cl148,plain,
    ( ( ring_1_of_int_real @ ( abs_abs_int @ m ) )
   != ( ring_1_of_int_real @ ( abs_abs_int @ m ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl142,zip_derived_cl4]) ).

thf(zip_derived_cl149,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl148]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : ITP118^1 : TPTP v9.2.0. Released v7.5.0.
% 0.08/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gchPeSQhuT true
% 0.11/0.33  % Computer : n019.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Oct  1 15:30:38 EDT 2025
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.34  % Running in HO mode
% 0.49/0.64  % Total configuration time : 828
% 0.49/0.64  % Estimated wc time : 1656
% 0.49/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.51/0.80  % Solved by lams/40_c_ic.sh.
% 0.51/0.80  % done 31 iterations in 0.065s
% 0.51/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.80  % SZS output start Refutation
% See solution above
% 0.51/0.80  
% 0.51/0.80  
% 0.51/0.80  % Terminating...
% 0.51/0.85  % Runner terminated.
% 1.67/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------