TSTP Solution File: ITP018+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP018+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ch3finj6F1 true

% Computer : n006.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 Aug 31 05:21:22 EDT 2023

% Result   : Theorem 1.27s 0.80s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   30 (  14 unt;  16 typ;   0 def)
%            Number of atoms       :   14 (  13 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  315 (   4   ~;   0   |;   0   &; 311   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

% 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(tyop_2Emin_2Efun_type,type,
    tyop_2Emin_2Efun: $i > $i > $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(sk__4_type,type,
    sk__4: $i ).

thf(c_2Erealax_2Ereal__neg_2E0_type,type,
    c_2Erealax_2Ereal__neg_2E0: $i ).

thf(sk__3_type,type,
    sk__3: $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(app_2E2_type,type,
    app_2E2: $i > $i > $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_cl53,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__3 @ sk__4 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
   != ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ sk__3 @ sk__4 ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ sk__3 @ sk__4 ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ sk__3 @ sk__4 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(arityeq1_2Ec_2Erealax_2Ereal__neg_2E1,axiom,
    ! [X0_2E0: $i] :
      ( ( s @ tyop_2Erealax_2Ereal @ ( c_2Erealax_2Ereal__neg_2E1 @ ( s @ tyop_2Erealax_2Ereal @ X0_2E0 ) ) )
      = ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ c_2Erealax_2Ereal__neg_2E0 ) @ ( s @ tyop_2Erealax_2Ereal @ X0_2E0 ) ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( s @ tyop_2Erealax_2Ereal @ ( c_2Erealax_2Ereal__neg_2E1 @ ( s @ tyop_2Erealax_2Ereal @ X0 ) ) )
      = ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ c_2Erealax_2Ereal__neg_2E0 ) @ ( s @ tyop_2Erealax_2Ereal @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[arityeq1_2Ec_2Erealax_2Ereal__neg_2E1]) ).

thf(zip_derived_cl55,plain,
    ( ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ c_2Erealax_2Ereal__neg_2E0 ) @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ sk__3 @ sk__4 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
   != ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ sk__3 @ sk__4 ) @ ( c_2Ebinary__ieee_2Efloat__negate_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ sk__3 @ sk__4 ) @ ( c_2Ebinary__ieee_2Efloat__plus__min_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ sk__3 @ sk__4 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl46]) ).

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_cl48,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_cl46_001,plain,
    ! [X0: $i] :
      ( ( s @ tyop_2Erealax_2Ereal @ ( c_2Erealax_2Ereal__neg_2E1 @ ( s @ tyop_2Erealax_2Ereal @ X0 ) ) )
      = ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ c_2Erealax_2Ereal__neg_2E0 ) @ ( s @ tyop_2Erealax_2Ereal @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[arityeq1_2Ec_2Erealax_2Ereal__neg_2E1]) ).

thf(zip_derived_cl56,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 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ c_2Erealax_2Ereal__neg_2E0 ) @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Efloat__to__real_2E1 @ ( s @ ( tyop_2Ebinary__ieee_2Efloat @ X0 @ X1 ) @ X2 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl46]) ).

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_cl49,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(zip_derived_cl57,plain,
    ( ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ c_2Erealax_2Ereal__neg_2E0 ) @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ sk__3 @ sk__4 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
   != ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ c_2Erealax_2Ereal__neg_2E0 ) @ ( s @ tyop_2Erealax_2Ereal @ ( c_2Ebinary__ieee_2Eulp_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ ( tyop_2Epair_2Eprod @ sk__3 @ sk__4 ) ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl56,zip_derived_cl49]) ).

thf(zip_derived_cl58,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP018+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ch3finj6F1 true
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 16:20:22 EDT 2023
% 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
% 0.14/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.27/0.80  % Solved by fo/fo13.sh.
% 1.27/0.80  % done 0 iterations in 0.020s
% 1.27/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.27/0.80  % SZS output start Refutation
% See solution above
% 1.27/0.80  
% 1.27/0.80  
% 1.27/0.81  % Terminating...
% 1.54/0.86  % Runner terminated.
% 1.54/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------