TSTP Solution File: GRP748+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP748+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kETxz7FpA8 true

% Computer : n027.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 01:53:10 EDT 2023

% Result   : Theorem 7.79s 1.74s
% Output   : Refutation 7.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   87 (  67 unt;   7 typ;   0 def)
%            Number of atoms       :   97 (  96 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  657 (   7   ~;  17   |;   0   &; 633   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  126 (   0   ^; 126   !;   0   ?; 126   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ld_type,type,
    ld: $i > $i > $i ).

thf(i_type,type,
    i: $i > $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(mult_type,type,
    mult: $i > $i > $i ).

thf(unit_type,type,
    unit: $i ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(goals,conjecture,
    ( ! [X9: $i,X10: $i,X11: $i] :
        ( ( mult @ ( mult @ X11 @ X9 ) @ ( mult @ X10 @ X11 ) )
        = ( mult @ X11 @ ( mult @ ( mult @ X9 @ X10 ) @ X11 ) ) )
    | ! [X6: $i,X7: $i,X8: $i] :
        ( ( mult @ ( mult @ X8 @ X6 ) @ ( mult @ X7 @ X8 ) )
        = ( mult @ ( mult @ X8 @ ( mult @ X6 @ X7 ) ) @ X8 ) )
    | ! [X3: $i,X4: $i,X5: $i] :
        ( ( mult @ X3 @ ( mult @ X5 @ ( mult @ X4 @ X5 ) ) )
        = ( mult @ ( mult @ ( mult @ X3 @ X5 ) @ X4 ) @ X5 ) )
    | ! [X0: $i,X1: $i,X2: $i] :
        ( ( mult @ X2 @ ( mult @ X0 @ ( mult @ X2 @ X1 ) ) )
        = ( mult @ ( mult @ ( mult @ X2 @ X0 ) @ X2 ) @ X1 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [X9: $i,X10: $i,X11: $i] :
          ( ( mult @ ( mult @ X11 @ X9 ) @ ( mult @ X10 @ X11 ) )
          = ( mult @ X11 @ ( mult @ ( mult @ X9 @ X10 ) @ X11 ) ) )
      | ! [X6: $i,X7: $i,X8: $i] :
          ( ( mult @ ( mult @ X8 @ X6 ) @ ( mult @ X7 @ X8 ) )
          = ( mult @ ( mult @ X8 @ ( mult @ X6 @ X7 ) ) @ X8 ) )
      | ! [X3: $i,X4: $i,X5: $i] :
          ( ( mult @ X3 @ ( mult @ X5 @ ( mult @ X4 @ X5 ) ) )
          = ( mult @ ( mult @ ( mult @ X3 @ X5 ) @ X4 ) @ X5 ) )
      | ! [X0: $i,X1: $i,X2: $i] :
          ( ( mult @ X2 @ ( mult @ X0 @ ( mult @ X2 @ X1 ) ) )
          = ( mult @ ( mult @ ( mult @ X2 @ X0 ) @ X2 ) @ X1 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl12,plain,
    ( ( mult @ sk__6 @ ( mult @ sk__8 @ ( mult @ sk__7 @ sk__8 ) ) )
   != ( mult @ ( mult @ ( mult @ sk__6 @ sk__8 ) @ sk__7 ) @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(f07,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( mult @ ( mult @ ( mult @ A @ B ) @ C ) @ B )
      = ( mult @ A @ ( mult @ ( mult @ B @ C ) @ B ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X2 ) @ X1 )
      = ( mult @ X0 @ ( mult @ ( mult @ X1 @ X2 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[f07]) ).

thf(zip_derived_cl15,plain,
    ( ( mult @ sk__6 @ ( mult @ sk__8 @ ( mult @ sk__7 @ sk__8 ) ) )
   != ( mult @ sk__6 @ ( mult @ ( mult @ sk__8 @ sk__7 ) @ sk__8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl6]) ).

thf(f09,axiom,
    ! [A: $i] :
      ( ( mult @ A @ ( i @ A ) )
      = unit ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( mult @ X0 @ ( i @ X0 ) )
      = unit ),
    inference(cnf,[status(esa)],[f09]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X2 ) @ X1 )
      = ( mult @ X0 @ ( mult @ ( mult @ X1 @ X2 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[f07]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ unit @ X1 ) @ ( i @ X0 ) )
      = ( mult @ X0 @ ( mult @ ( mult @ ( i @ X0 ) @ X1 ) @ ( i @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).

thf(f06,axiom,
    ! [A: $i] :
      ( ( mult @ unit @ A )
      = A ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( mult @ unit @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[f06]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ ( i @ X0 ) )
      = ( mult @ X0 @ ( mult @ ( mult @ ( i @ X0 ) @ X1 ) @ ( i @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl5]) ).

thf(f10,axiom,
    ! [A: $i] :
      ( ( mult @ ( i @ A ) @ A )
      = unit ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( mult @ ( i @ X0 ) @ X0 )
      = unit ),
    inference(cnf,[status(esa)],[f10]) ).

thf(f02,axiom,
    ! [B: $i,A: $i] :
      ( ( ld @ A @ ( mult @ A @ B ) )
      = B ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] :
      ( ( ld @ ( i @ X0 ) @ unit )
      = X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).

thf(zip_derived_cl8_002,plain,
    ! [X0: $i] :
      ( ( mult @ X0 @ ( i @ X0 ) )
      = unit ),
    inference(cnf,[status(esa)],[f09]) ).

thf(zip_derived_cl1_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( ld @ X0 @ unit )
      = ( i @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i] :
      ( X0
      = ( i @ ( i @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(f11,axiom,
    ! [B: $i,A: $i] :
      ( ( ( mult @ ( i @ A ) @ ( mult @ A @ B ) )
        = B )
      | ( ( mult @ A @ B )
        = ( mult @ B @ A ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( mult @ ( i @ X1 ) @ ( mult @ X1 @ X0 ) )
        = X0 )
      | ( ( mult @ X1 @ X0 )
        = ( mult @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[f11]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( mult @ X0 @ ( mult @ ( i @ X0 ) @ X1 ) )
        = X1 )
      | ( ( mult @ ( i @ X0 ) @ X1 )
        = ( mult @ X1 @ ( i @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl10]) ).

thf(zip_derived_cl4863,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( mult @ X0 @ ( mult @ X1 @ ( i @ ( i @ X0 ) ) ) )
        = ( mult @ ( mult @ ( i @ ( i @ X0 ) ) @ X1 ) @ ( i @ ( i @ X0 ) ) ) )
      | ( ( mult @ X1 @ ( i @ ( i @ X0 ) ) )
        = ( mult @ ( mult @ ( mult @ ( i @ ( i @ X0 ) ) @ X1 ) @ ( i @ ( i @ X0 ) ) ) @ ( i @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl77,zip_derived_cl110]) ).

thf(zip_derived_cl107_004,plain,
    ! [X0: $i] :
      ( X0
      = ( i @ ( i @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(zip_derived_cl107_005,plain,
    ! [X0: $i] :
      ( X0
      = ( i @ ( i @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(zip_derived_cl107_006,plain,
    ! [X0: $i] :
      ( X0
      = ( i @ ( i @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(zip_derived_cl107_007,plain,
    ! [X0: $i] :
      ( X0
      = ( i @ ( i @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(zip_derived_cl107_008,plain,
    ! [X0: $i] :
      ( X0
      = ( i @ ( i @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(zip_derived_cl107_009,plain,
    ! [X0: $i] :
      ( X0
      = ( i @ ( i @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(f08,axiom,
    ! [B: $i,A: $i] :
      ( ( mult @ ( mult @ A @ B ) @ ( i @ B ) )
      = A ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ X0 @ X1 ) @ ( i @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f08]) ).

thf(zip_derived_cl4887,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( mult @ X0 @ ( mult @ X1 @ X0 ) )
        = ( mult @ ( mult @ X0 @ X1 ) @ X0 ) )
      | ( ( mult @ X1 @ X0 )
        = ( mult @ X0 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4863,zip_derived_cl107,zip_derived_cl107,zip_derived_cl107,zip_derived_cl107,zip_derived_cl107,zip_derived_cl107,zip_derived_cl7]) ).

thf(zip_derived_cl15_010,plain,
    ( ( mult @ sk__6 @ ( mult @ sk__8 @ ( mult @ sk__7 @ sk__8 ) ) )
   != ( mult @ sk__6 @ ( mult @ ( mult @ sk__8 @ sk__7 ) @ sk__8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl6]) ).

thf(zip_derived_cl4990,plain,
    ( ( ( mult @ sk__7 @ sk__8 )
      = ( mult @ sk__8 @ sk__7 ) )
    | ( ( mult @ sk__6 @ ( mult @ sk__8 @ ( mult @ sk__7 @ sk__8 ) ) )
     != ( mult @ sk__6 @ ( mult @ sk__8 @ ( mult @ sk__7 @ sk__8 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4887,zip_derived_cl15]) ).

thf(zip_derived_cl5077,plain,
    ( ( mult @ sk__7 @ sk__8 )
    = ( mult @ sk__8 @ sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4990]) ).

thf(f05,axiom,
    ! [A: $i] :
      ( ( mult @ A @ unit )
      = A ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( mult @ X0 @ unit )
      = X0 ),
    inference(cnf,[status(esa)],[f05]) ).

thf(zip_derived_cl6_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X2 ) @ X1 )
      = ( mult @ X0 @ ( mult @ ( mult @ X1 @ X2 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[f07]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ X1 @ X0 ) @ X0 )
      = ( mult @ X1 @ ( mult @ ( mult @ X0 @ unit ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).

thf(zip_derived_cl4_012,plain,
    ! [X0: $i] :
      ( ( mult @ X0 @ unit )
      = X0 ),
    inference(cnf,[status(esa)],[f05]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ X1 @ X0 ) @ X0 )
      = ( mult @ X1 @ ( mult @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl4]) ).

thf(zip_derived_cl5078,plain,
    ( ( mult @ sk__6 @ ( mult @ sk__8 @ ( mult @ sk__7 @ sk__8 ) ) )
   != ( mult @ sk__6 @ ( mult @ sk__7 @ ( mult @ sk__8 @ sk__8 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl5077,zip_derived_cl73]) ).

thf(zip_derived_cl5077_013,plain,
    ( ( mult @ sk__7 @ sk__8 )
    = ( mult @ sk__8 @ sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4990]) ).

thf(zip_derived_cl1_014,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl5079,plain,
    ( ( ld @ sk__8 @ ( mult @ sk__7 @ sk__8 ) )
    = sk__7 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5077,zip_derived_cl1]) ).

thf(zip_derived_cl107_015,plain,
    ! [X0: $i] :
      ( X0
      = ( i @ ( i @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(zip_derived_cl10_016,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( mult @ ( i @ X1 ) @ ( mult @ X1 @ X0 ) )
        = X0 )
      | ( ( mult @ X1 @ X0 )
        = ( mult @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[f11]) ).

thf(zip_derived_cl1_017,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( mult @ X1 @ X0 )
        = ( mult @ X0 @ X1 ) )
      | ( ( ld @ ( i @ X1 ) @ X0 )
        = ( mult @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).

thf(zip_derived_cl1789,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( mult @ ( i @ X0 ) @ X1 )
        = ( mult @ X1 @ ( i @ X0 ) ) )
      | ( ( ld @ X0 @ X1 )
        = ( mult @ ( i @ X0 ) @ X1 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl80]) ).

thf(zip_derived_cl5137,plain,
    ( ( ( mult @ ( i @ sk__8 ) @ ( mult @ sk__7 @ sk__8 ) )
      = ( mult @ ( mult @ sk__7 @ sk__8 ) @ ( i @ sk__8 ) ) )
    | ( sk__7
      = ( mult @ ( i @ sk__8 ) @ ( mult @ sk__7 @ sk__8 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5079,zip_derived_cl1789]) ).

thf(zip_derived_cl7_018,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ X0 @ X1 ) @ ( i @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f08]) ).

thf(zip_derived_cl5145,plain,
    ( ( ( mult @ ( i @ sk__8 ) @ ( mult @ sk__7 @ sk__8 ) )
      = sk__7 )
    | ( sk__7
      = ( mult @ ( i @ sk__8 ) @ ( mult @ sk__7 @ sk__8 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5137,zip_derived_cl7]) ).

thf(zip_derived_cl5146,plain,
    ( ( mult @ ( i @ sk__8 ) @ ( mult @ sk__7 @ sk__8 ) )
    = sk__7 ),
    inference(simplify,[status(thm)],[zip_derived_cl5145]) ).

thf(zip_derived_cl8_019,plain,
    ! [X0: $i] :
      ( ( mult @ X0 @ ( i @ X0 ) )
      = unit ),
    inference(cnf,[status(esa)],[f09]) ).

thf(zip_derived_cl6_020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X2 ) @ X1 )
      = ( mult @ X0 @ ( mult @ ( mult @ X1 @ X2 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[f07]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ unit @ X0 )
      = ( mult @ X1 @ ( mult @ ( mult @ X0 @ ( i @ ( mult @ X1 @ X0 ) ) ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl6]) ).

thf(zip_derived_cl5_021,plain,
    ! [X0: $i] :
      ( ( mult @ unit @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[f06]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i] :
      ( X0
      = ( mult @ X1 @ ( mult @ ( mult @ X0 @ ( i @ ( mult @ X1 @ X0 ) ) ) @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl5]) ).

thf(zip_derived_cl1_022,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl1961,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ X0 )
      = ( mult @ ( mult @ X0 @ ( i @ ( mult @ X1 @ X0 ) ) ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl74,zip_derived_cl1]) ).

thf(zip_derived_cl5513,plain,
    ( ( ld @ ( i @ sk__8 ) @ ( mult @ sk__7 @ sk__8 ) )
    = ( mult @ ( mult @ ( mult @ sk__7 @ sk__8 ) @ ( i @ sk__7 ) ) @ ( mult @ sk__7 @ sk__8 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5146,zip_derived_cl1961]) ).

thf(zip_derived_cl9_023,plain,
    ! [X0: $i] :
      ( ( mult @ ( i @ X0 ) @ X0 )
      = unit ),
    inference(cnf,[status(esa)],[f10]) ).

thf(zip_derived_cl6_024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( mult @ ( mult @ ( mult @ X0 @ X1 ) @ X2 ) @ X1 )
      = ( mult @ X0 @ ( mult @ ( mult @ X1 @ X2 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[f07]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ unit @ X1 ) @ X0 )
      = ( mult @ ( i @ X0 ) @ ( mult @ ( mult @ X0 @ X1 ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl6]) ).

thf(zip_derived_cl5_025,plain,
    ! [X0: $i] :
      ( ( mult @ unit @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[f06]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ X1 @ X0 )
      = ( mult @ ( i @ X0 ) @ ( mult @ ( mult @ X0 @ X1 ) @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl5]) ).

thf(zip_derived_cl1_026,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ X1 @ ( mult @ X1 @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f02]) ).

thf(zip_derived_cl966,plain,
    ! [X0: $i,X1: $i] :
      ( ( ld @ ( i @ X0 ) @ ( mult @ X1 @ X0 ) )
      = ( mult @ ( mult @ X0 @ X1 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl1]) ).

thf(zip_derived_cl5077_027,plain,
    ( ( mult @ sk__7 @ sk__8 )
    = ( mult @ sk__8 @ sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4990]) ).

thf(zip_derived_cl73_028,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ X1 @ X0 ) @ X0 )
      = ( mult @ X1 @ ( mult @ X0 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl4]) ).

thf(zip_derived_cl5077_029,plain,
    ( ( mult @ sk__7 @ sk__8 )
    = ( mult @ sk__8 @ sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4990]) ).

thf(zip_derived_cl7_030,plain,
    ! [X0: $i,X1: $i] :
      ( ( mult @ ( mult @ X0 @ X1 ) @ ( i @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[f08]) ).

thf(zip_derived_cl5095,plain,
    ( ( mult @ ( mult @ sk__7 @ sk__8 ) @ ( i @ sk__7 ) )
    = sk__8 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5077,zip_derived_cl7]) ).

thf(zip_derived_cl5546,plain,
    ( ( mult @ sk__7 @ ( mult @ sk__8 @ sk__8 ) )
    = ( mult @ sk__8 @ ( mult @ sk__7 @ sk__8 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5513,zip_derived_cl966,zip_derived_cl5077,zip_derived_cl73,zip_derived_cl5095]) ).

thf(zip_derived_cl6458,plain,
    ( ( mult @ sk__6 @ ( mult @ sk__7 @ ( mult @ sk__8 @ sk__8 ) ) )
   != ( mult @ sk__6 @ ( mult @ sk__7 @ ( mult @ sk__8 @ sk__8 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5078,zip_derived_cl5546]) ).

thf(zip_derived_cl6459,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl6458]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP748+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kETxz7FpA8 true
% 0.13/0.35  % Computer : n027.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 : Mon Aug 28 23:32:22 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
% 0.13/0.36  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.79/1.74  % Solved by fo/fo13.sh.
% 7.79/1.74  % done 381 iterations in 0.953s
% 7.79/1.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.79/1.74  % SZS output start Refutation
% See solution above
% 7.79/1.74  
% 7.79/1.74  
% 7.79/1.74  % Terminating...
% 8.39/1.86  % Runner terminated.
% 8.39/1.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------