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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP018+1 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LYqOQ4Kh9s true

% 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 : Thu Oct  2 04:38:25 PM UTC 2025

% Result   : Theorem 0.57s 0.85s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   10 (   9 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  227 (   3   ~;   0   |;   0   &; 224   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(s_type,type,
    s: $i > $i > $i ).

thf(c_2Ebinary__ieee_2Efloat__to__real_2E1_type,type,
    c_2Ebinary__ieee_2Efloat__to__real_2E1: $i > $i ).

thf(c_2Ebool_2Ethe__value_2E0_type,type,
    c_2Ebool_2Ethe__value_2E0: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(tyop_2Erealax_2Ereal_type,type,
    tyop_2Erealax_2Ereal: $i ).

thf(tyop_2Ebool_2Eitself_type,type,
    tyop_2Ebool_2Eitself: $i > $i ).

thf(tyop_2Ebinary__ieee_2Efloat_type,type,
    tyop_2Ebinary__ieee_2Efloat: $i > $i > $i ).

thf(tyop_2Epair_2Eprod_type,type,
    tyop_2Epair_2Eprod: $i > $i > $i ).

thf(c_2Ebinary__ieee_2Efloat__negate_2E1_type,type,
    c_2Ebinary__ieee_2Efloat__negate_2E1: $i > $i ).

thf(c_2Ebinary__ieee_2Efloat__plus__min_2E1_type,type,
    c_2Ebinary__ieee_2Efloat__plus__min_2E1: $i > $i ).

thf(c_2Erealax_2Ereal__neg_2E1_type,type,
    c_2Erealax_2Ereal__neg_2E1: $i > $i ).

thf(c_2Ebinary__ieee_2Eulp_2E1_type,type,
    c_2Ebinary__ieee_2Eulp_2E1: $i > $i ).

thf(sk__type,type,
    sk_: $i ).

thf(thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
    ! [A_27t: $i,A_27w: $i] :
      ( ( s @ tyop_2Erealax_2Ereal @ ( c_2Erealax_2Ereal__neg_2E1 @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
      = ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A_27t: $i,A_27w: $i] :
        ( ( s @ tyop_2Erealax_2Ereal @ ( c_2Erealax_2Ereal__neg_2E1 @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
        = ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2Ebinary__ieee_2Eneg__ulp]) ).

thf(zip_derived_cl4,plain,
    ( ( s @ tyop_2Erealax_2Ereal @ ( c_2Erealax_2Ereal__neg_2E1 @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ sk_ @ sk__1 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
   != ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ sk_ @ sk__1 ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ sk_ @ sk__1 ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ sk_ @ sk__1 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Ebinary__ieee_2Eulp,axiom,
    ! [A_27t: $i,A_27w: $i] :
      ( ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) )
      = ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ A_27t @ A_27w ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X0 @ X1 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) )
      = ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X0 @ X1 ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X0 @ X1 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Ebinary__ieee_2Eulp]) ).

thf(thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
    ! [A_27a: $i,A_27b: $i,V0x_2E0: $i] :
      ( ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ A_27a @ A_27b ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ A_27a @ A_27b ) @ V0x_2E0 ) ) ) ) )
      = ( s @ tyop_2Erealax_2Ereal @ ( c_2Erealax_2Ereal__neg_2E1 @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ A_27a @ A_27b ) @ V0x_2E0 ) ) ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X0 @ X1 ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X0 @ X1 ) @ X2 ) ) ) ) )
      = ( s @ tyop_2Erealax_2Ereal @ ( c_2Erealax_2Ereal__neg_2E1 @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X0 @ X1 ) @ X2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Ebinary__ieee_2Efloat__to__real__negate]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X1 @ X0 ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X1 @ X0 ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X1 @ X0 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) )
      = ( s @ tyop_2Erealax_2Ereal @ ( c_2Erealax_2Ereal__neg_2E1 @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ X1 @ X0 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(zip_derived_cl16,plain,
    ( ( s @ tyop_2Erealax_2Ereal @ ( c_2Erealax_2Ereal__neg_2E1 @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ sk_ @ sk__1 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
   != ( s @ tyop_2Erealax_2Ereal @ ( c_2Erealax_2Ereal__neg_2E1 @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ sk_ @ sk__1 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).

thf(zip_derived_cl17,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl16]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP018+1 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LYqOQ4Kh9s true
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 15:26:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.54/0.63  % Total configuration time : 435
% 0.54/0.63  % Estimated wc time : 1092
% 0.54/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.85  % Solved by fo/fo4.sh.
% 0.57/0.85  % done 5 iterations in 0.012s
% 0.57/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.85  % SZS output start Refutation
% See solution above
% 0.57/0.85  
% 0.57/0.85  
% 0.57/0.85  % Terminating...
% 0.61/0.98  % Runner terminated.
% 0.61/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------