TSTP Solution File: ITP018_2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP018_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dt1kX4BxhH true

% Computer : n021.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 1.35s 0.92s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   59 (  20 unt;  19 typ;   0 def)
%            Number of atoms       :   64 (  21 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  673 (  26   ~;  20   |;   0   &; 623   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    4 (   2 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   5 con; 0-2 aty)
%            Number of variables   :   75 (   0   ^;  75   !;   0   ?;  75   :)

% Comments : 
%------------------------------------------------------------------------------
thf(del_type,type,
    del: $tType ).

thf(tp__ty_2Erealax_2Ereal_type,type,
    tp__ty_2Erealax_2Ereal: $tType ).

thf(mem_type,type,
    mem: $i > del > $o ).

thf(c_2Erealax_2Ereal__neg_type,type,
    c_2Erealax_2Ereal__neg: $i ).

thf(c_2Ebinary__ieee_2Efloat__plus__min_type,type,
    c_2Ebinary__ieee_2Efloat__plus__min: del > del > $i ).

thf(c_2Ebool_2Ethe__value_type,type,
    c_2Ebool_2Ethe__value: del > $i ).

thf(sk__2_type,type,
    sk__2: del ).

thf(c_2Ebinary__ieee_2Efloat__negate_type,type,
    c_2Ebinary__ieee_2Efloat__negate: del > del > $i ).

thf(surj__ty_2Erealax_2Ereal_type,type,
    surj__ty_2Erealax_2Ereal: $i > tp__ty_2Erealax_2Ereal ).

thf(ap_type,type,
    ap: $i > $i > $i ).

thf(arr_type,type,
    arr: del > del > del ).

thf(ty_2Ebool_2Eitself_type,type,
    ty_2Ebool_2Eitself: del > del ).

thf(c_2Ebinary__ieee_2Eulp_type,type,
    c_2Ebinary__ieee_2Eulp: del > del > $i ).

thf(c_2Ebinary__ieee_2Efloat__to__real_type,type,
    c_2Ebinary__ieee_2Efloat__to__real: del > del > $i ).

thf(inj__ty_2Erealax_2Ereal_type,type,
    inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i ).

thf(sk__1_type,type,
    sk__1: del ).

thf(ty_2Erealax_2Ereal_type,type,
    ty_2Erealax_2Ereal: del ).

thf(ty_2Ebinary__ieee_2Efloat_type,type,
    ty_2Ebinary__ieee_2Efloat: del > del > del ).

thf(ty_2Epair_2Eprod_type,type,
    ty_2Epair_2Eprod: del > del > del ).

thf(mem_c_2Ebinary__ieee_2Efloat__plus__min,axiom,
    ! [A_27t: del,A_27w: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__plus__min @ A_27t @ A_27w ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) @ ( ty_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: del,X1: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mem_c_2Ebinary__ieee_2Efloat__plus__min]) ).

thf(ap_tp,axiom,
    ! [A: del,B: del,F: $i] :
      ( ( mem @ F @ ( arr @ A @ B ) )
     => ! [X: $i] :
          ( ( mem @ X @ A )
         => ( mem @ ( ap @ F @ X ) @ B ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: del,X2: $i,X3: del] :
      ( ~ ( mem @ X0 @ X1 )
      | ( mem @ ( ap @ X2 @ X0 ) @ X3 )
      | ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[ap_tp]) ).

thf(zip_derived_cl42,plain,
    ! [X0: del,X1: del,X2: $i] :
      ( ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ X2 ) @ ( ty_2Ebinary__ieee_2Efloat @ X1 @ X0 ) )
      | ~ ( mem @ X2 @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).

thf(conj_thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
    ! [A_27a: del,A_27b: del,V0x: $i] :
      ( ( mem @ V0x @ ( ty_2Ebinary__ieee_2Efloat @ A_27a @ A_27b ) )
     => ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27a @ A_27b ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ A_27a @ A_27b ) @ V0x ) ) )
        = ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27a @ A_27b ) @ V0x ) ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: del,X1: del,X2: $i] :
      ( ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 ) @ X2 ) ) )
        = ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ X2 ) ) ) )
      | ~ ( mem @ X2 @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Ebinary__ieee_2Efloat__to__real__negate]) ).

thf(conj_thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
    ! [A_27t: del,A_27w: del] :
      ( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ A_27t @ A_27w ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) )
      = ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27t @ A_27w ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ A_27t @ A_27w ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ A_27t @ A_27w ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A_27t: del,A_27w: del] :
        ( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ A_27t @ A_27w ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) )
        = ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27t @ A_27w ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ A_27t @ A_27w ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ A_27t @ A_27w ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_thm_2Ebinary__ieee_2Eneg__ulp]) ).

thf(zip_derived_cl15,plain,
    ( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) )
   != ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sk__1 @ sk__2 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ sk__1 @ sk__2 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    ( ( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) )
     != ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sk__1 @ sk__2 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) ) ) )
    | ~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) @ ( ty_2Ebinary__ieee_2Efloat @ sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl15]) ).

thf(zip_derived_cl49,plain,
    ( ~ ( mem @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) )
    | ( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) )
     != ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sk__1 @ sk__2 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl48]) ).

thf(mem_c_2Ebool_2Ethe__value,axiom,
    ! [A_27a: del] : ( mem @ ( c_2Ebool_2Ethe__value @ A_27a ) @ ( ty_2Ebool_2Eitself @ A_27a ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: del] : ( mem @ ( c_2Ebool_2Ethe__value @ X0 ) @ ( ty_2Ebool_2Eitself @ X0 ) ),
    inference(cnf,[status(esa)],[mem_c_2Ebool_2Ethe__value]) ).

thf(zip_derived_cl50,plain,
    ( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) )
   != ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sk__1 @ sk__2 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl10]) ).

thf(mem_c_2Ebinary__ieee_2Eulp,axiom,
    ! [A_27t: del,A_27w: del] : ( mem @ ( c_2Ebinary__ieee_2Eulp @ A_27t @ A_27w ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) @ ty_2Erealax_2Ereal ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: del,X1: del] : ( mem @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) @ ty_2Erealax_2Ereal ) ),
    inference(cnf,[status(esa)],[mem_c_2Ebinary__ieee_2Eulp]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: del,X2: $i,X3: del] :
      ( ~ ( mem @ X0 @ X1 )
      | ( mem @ ( ap @ X2 @ X0 ) @ X3 )
      | ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[ap_tp]) ).

thf(zip_derived_cl30,plain,
    ! [X0: del,X1: del,X2: $i] :
      ( ( mem @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ X2 ) @ ty_2Erealax_2Ereal )
      | ~ ( mem @ X2 @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).

thf(zip_derived_cl42_002,plain,
    ! [X0: del,X1: del,X2: $i] :
      ( ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ X2 ) @ ( ty_2Ebinary__ieee_2Efloat @ X1 @ X0 ) )
      | ~ ( mem @ X2 @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).

thf(conj_thm_2Ebinary__ieee_2Eulp,axiom,
    ! [A_27t: del,A_27w: del] :
      ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ A_27t @ A_27w ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) ) )
      = ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27t @ A_27w ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ A_27t @ A_27w ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ A_27t @ A_27w ) ) ) ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: del,X1: del] :
      ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) )
      = ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Ebinary__ieee_2Eulp]) ).

thf(stp_iso_mem_ty_2Erealax_2Ereal,axiom,
    ! [X: $i] :
      ( ( mem @ X @ ty_2Erealax_2Ereal )
     => ( X
        = ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( X0
        = ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X0 ) ) )
      | ~ ( mem @ X0 @ ty_2Erealax_2Ereal ) ),
    inference(cnf,[status(esa)],[stp_iso_mem_ty_2Erealax_2Ereal]) ).

thf(zip_derived_cl45,plain,
    ! [X0: del,X1: del] :
      ( ( ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) )
        = ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) ) )
      | ~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) @ ty_2Erealax_2Ereal ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(mem_c_2Ebinary__ieee_2Efloat__to__real,axiom,
    ! [A_27t: del,A_27w: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__to__real @ A_27t @ A_27w ) @ ( arr @ ( ty_2Ebinary__ieee_2Efloat @ A_27t @ A_27w ) @ ty_2Erealax_2Ereal ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: del,X1: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( arr @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) @ ty_2Erealax_2Ereal ) ),
    inference(cnf,[status(esa)],[mem_c_2Ebinary__ieee_2Efloat__to__real]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: $i,X1: del,X2: $i,X3: del] :
      ( ~ ( mem @ X0 @ X1 )
      | ( mem @ ( ap @ X2 @ X0 ) @ X3 )
      | ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[ap_tp]) ).

thf(zip_derived_cl27,plain,
    ! [X0: del,X1: del,X2: $i] :
      ( ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ X2 ) @ ty_2Erealax_2Ereal )
      | ~ ( mem @ X2 @ ( ty_2Ebinary__ieee_2Efloat @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl83,plain,
    ! [X0: del,X1: del] :
      ( ( ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) )
        = ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) ) )
      | ~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl27]) ).

thf(zip_derived_cl361,plain,
    ! [X0: del,X1: del] :
      ( ~ ( mem @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) )
      | ( ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) )
        = ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl83]) ).

thf(zip_derived_cl10_004,plain,
    ! [X0: del] : ( mem @ ( c_2Ebool_2Ethe__value @ X0 ) @ ( ty_2Ebool_2Eitself @ X0 ) ),
    inference(cnf,[status(esa)],[mem_c_2Ebool_2Ethe__value]) ).

thf(zip_derived_cl362,plain,
    ! [X0: del,X1: del] :
      ( ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) )
      = ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl361,zip_derived_cl10]) ).

thf(zip_derived_cl5_005,plain,
    ! [X0: $i] :
      ( ( X0
        = ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X0 ) ) )
      | ~ ( mem @ X0 @ ty_2Erealax_2Ereal ) ),
    inference(cnf,[status(esa)],[stp_iso_mem_ty_2Erealax_2Ereal]) ).

thf(zip_derived_cl394,plain,
    ! [X0: del,X1: del] :
      ( ( ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) )
        = ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) )
      | ~ ( mem @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) @ ty_2Erealax_2Ereal ) ),
    inference('sup+',[status(thm)],[zip_derived_cl362,zip_derived_cl5]) ).

thf(zip_derived_cl430,plain,
    ! [X0: del,X1: del] :
      ( ~ ( mem @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) )
      | ( ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) )
        = ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl394]) ).

thf(zip_derived_cl10_006,plain,
    ! [X0: del] : ( mem @ ( c_2Ebool_2Ethe__value @ X0 ) @ ( ty_2Ebool_2Eitself @ X0 ) ),
    inference(cnf,[status(esa)],[mem_c_2Ebool_2Ethe__value]) ).

thf(zip_derived_cl431,plain,
    ! [X0: del,X1: del] :
      ( ( ap @ ( c_2Ebinary__ieee_2Eulp @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) )
      = ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X1 @ X0 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X1 @ X0 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X1 @ X0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl430,zip_derived_cl10]) ).

thf(zip_derived_cl433,plain,
    ( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) )
   != ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sk__1 @ sk__2 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sk__1 @ sk__2 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl431]) ).

thf(zip_derived_cl434,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl433]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP018_2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dt1kX4BxhH true
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 11:02:12 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.35/0.92  % Solved by fo/fo4.sh.
% 1.35/0.92  % done 156 iterations in 0.098s
% 1.35/0.92  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/0.92  % SZS output start Refutation
% See solution above
% 1.35/0.92  
% 1.35/0.92  
% 1.35/0.92  % Terminating...
% 1.67/1.00  % Runner terminated.
% 1.67/1.01  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------