TSTP Solution File: SEU221+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU221+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.O1MJsIlVjP true

% Computer : n026.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 19:11:22 EDT 2023

% Result   : Theorem 21.60s 3.68s
% Output   : Refutation 21.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   75 (   5 unt;  20 typ;   0 def)
%            Number of atoms       :  261 (  34 equ;   0 cnn)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  848 ( 140   ~; 154   |;  26   &; 502   @)
%                                         (   7 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   44 (  44   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   2 con; 0-4 aty)
%            Number of variables   :   72 (   0   ^;  72   !;   0   ?;  72   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__15_type,type,
    sk__15: $i ).

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

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $i > $i > $o ).

thf(function_type,type,
    function: $i > $o ).

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

thf(in_type,type,
    in: $i > $i > $o ).

thf(relation_composition_type,type,
    relation_composition: $i > $i > $i ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $i > $i > $o ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $i > $i > $o ).

thf(function_inverse_type,type,
    function_inverse: $i > $i ).

thf(relation_rng_type,type,
    relation_rng: $i > $i ).

thf(apply_type,type,
    apply: $i > $i > $i ).

thf(relation_dom_type,type,
    relation_dom: $i > $i ).

thf(relation_type,type,
    relation: $i > $o ).

thf(one_to_one_type,type,
    one_to_one: $i > $o ).

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $i > $i > $i > $o ).

thf(d8_funct_1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( one_to_one @ A )
      <=> ! [B: $i,C: $i] :
            ( ( ( in @ B @ ( relation_dom @ A ) )
              & ( in @ C @ ( relation_dom @ A ) )
              & ( ( apply @ A @ B )
                = ( apply @ A @ C ) ) )
           => ( B = C ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( ( apply @ X0 @ ( sk_ @ X0 ) )
        = ( apply @ X0 @ ( sk__1 @ X0 ) ) )
      | ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d8_funct_1]) ).

thf(t57_funct_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ( ( ( one_to_one @ B )
          & ( in @ A @ ( relation_rng @ B ) ) )
       => ( ( A
            = ( apply @ B @ ( apply @ ( function_inverse @ B ) @ A ) ) )
          & ( A
            = ( apply @ ( relation_composition @ ( function_inverse @ B ) @ B ) @ A ) ) ) ) ) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( one_to_one @ X0 )
      | ~ ( in @ X1 @ ( relation_rng @ X0 ) )
      | ( X1
        = ( apply @ X0 @ ( apply @ ( function_inverse @ X0 ) @ X1 ) ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t57_funct_1]) ).

thf(zip_derived_cl532,plain,
    ! [X0: $i] :
      ( ~ ( relation @ ( function_inverse @ X0 ) )
      | ~ ( function @ ( function_inverse @ X0 ) )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ~ ( one_to_one @ X0 )
      | ~ ( in @ ( sk__1 @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ( ( sk__1 @ ( function_inverse @ X0 ) )
        = ( apply @ X0 @ ( apply @ ( function_inverse @ X0 ) @ ( sk_ @ ( function_inverse @ X0 ) ) ) ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl78]) ).

thf(dt_k2_funct_1,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( relation @ ( function_inverse @ A ) )
        & ( function @ ( function_inverse @ A ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( relation @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl1822,plain,
    ! [X0: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( ( sk__1 @ ( function_inverse @ X0 ) )
        = ( apply @ X0 @ ( apply @ ( function_inverse @ X0 ) @ ( sk_ @ ( function_inverse @ X0 ) ) ) ) )
      | ~ ( in @ ( sk__1 @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ~ ( one_to_one @ X0 )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ~ ( function @ ( function_inverse @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl532,zip_derived_cl11]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( function @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl1823,plain,
    ! [X0: $i] :
      ( ( one_to_one @ ( function_inverse @ X0 ) )
      | ~ ( one_to_one @ X0 )
      | ~ ( in @ ( sk__1 @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ( ( sk__1 @ ( function_inverse @ X0 ) )
        = ( apply @ X0 @ ( apply @ ( function_inverse @ X0 ) @ ( sk_ @ ( function_inverse @ X0 ) ) ) ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1822,zip_derived_cl12]) ).

thf(zip_derived_cl78_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( one_to_one @ X0 )
      | ~ ( in @ X1 @ ( relation_rng @ X0 ) )
      | ( X1
        = ( apply @ X0 @ ( apply @ ( function_inverse @ X0 ) @ X1 ) ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t57_funct_1]) ).

thf(zip_derived_cl1824,plain,
    ! [X0: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ~ ( in @ ( sk__1 @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ~ ( one_to_one @ X0 )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ~ ( one_to_one @ X0 )
      | ~ ( in @ ( sk_ @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ( ( sk_ @ ( function_inverse @ X0 ) )
        = ( sk__1 @ ( function_inverse @ X0 ) ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1823,zip_derived_cl78]) ).

thf(zip_derived_cl1828,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ ( function_inverse @ X0 ) )
        = ( sk__1 @ ( function_inverse @ X0 ) ) )
      | ~ ( in @ ( sk_ @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ~ ( one_to_one @ X0 )
      | ~ ( in @ ( sk__1 @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1824]) ).

thf(t54_funct_1,axiom,
    ! [A: $i] :
      ( ( ( function @ A )
        & ( relation @ A ) )
     => ( ( one_to_one @ A )
       => ! [B: $i] :
            ( ( ( function @ B )
              & ( relation @ B ) )
           => ( ( B
                = ( function_inverse @ A ) )
            <=> ( ! [C: $i,D: $i] :
                    ( ( ( ( D
                          = ( apply @ B @ C ) )
                        & ( in @ C @ ( relation_rng @ A ) ) )
                     => ( ( C
                          = ( apply @ A @ D ) )
                        & ( in @ D @ ( relation_dom @ A ) ) ) )
                    & ( ( ( C
                          = ( apply @ A @ D ) )
                        & ( in @ D @ ( relation_dom @ A ) ) )
                     => ( ( D
                          = ( apply @ B @ C ) )
                        & ( in @ C @ ( relation_rng @ A ) ) ) ) )
                & ( ( relation_dom @ B )
                  = ( relation_rng @ A ) ) ) ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_3: $i > $i > $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( zip_tseitin_3 @ D @ C @ B @ A )
    <=> ( ( zip_tseitin_2 @ D @ C @ A )
       => ( ( in @ C @ ( relation_rng @ A ) )
          & ( D
            = ( apply @ B @ C ) ) ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_2: $i > $i > $i > $o ).

thf(zf_stmt_3,axiom,
    ! [D: $i,C: $i,A: $i] :
      ( ( zip_tseitin_2 @ D @ C @ A )
    <=> ( ( in @ D @ ( relation_dom @ A ) )
        & ( C
          = ( apply @ A @ D ) ) ) ) ).

thf(zf_stmt_4,type,
    zip_tseitin_1: $i > $i > $i > $i > $o ).

thf(zf_stmt_5,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( zip_tseitin_1 @ D @ C @ B @ A )
    <=> ( ( zip_tseitin_0 @ D @ C @ B @ A )
       => ( ( in @ D @ ( relation_dom @ A ) )
          & ( C
            = ( apply @ A @ D ) ) ) ) ) ).

thf(zf_stmt_6,type,
    zip_tseitin_0: $i > $i > $i > $i > $o ).

thf(zf_stmt_7,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( zip_tseitin_0 @ D @ C @ B @ A )
    <=> ( ( in @ C @ ( relation_rng @ A ) )
        & ( D
          = ( apply @ B @ C ) ) ) ) ).

thf(zf_stmt_8,axiom,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( one_to_one @ A )
       => ! [B: $i] :
            ( ( ( relation @ B )
              & ( function @ B ) )
           => ( ( B
                = ( function_inverse @ A ) )
            <=> ( ( ( relation_dom @ B )
                  = ( relation_rng @ A ) )
                & ! [C: $i,D: $i] :
                    ( ( zip_tseitin_3 @ D @ C @ B @ A )
                    & ( zip_tseitin_1 @ D @ C @ B @ A ) ) ) ) ) ) ) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( one_to_one @ X0 )
      | ~ ( relation @ X1 )
      | ~ ( function @ X1 )
      | ( X1
       != ( function_inverse @ X0 ) )
      | ( ( relation_dom @ X1 )
        = ( relation_rng @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl483,plain,
    ! [X0: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( ( relation_dom @ ( function_inverse @ X0 ) )
        = ( relation_rng @ X0 ) )
      | ~ ( function @ ( function_inverse @ X0 ) )
      | ~ ( relation @ ( function_inverse @ X0 ) )
      | ~ ( one_to_one @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl12_002,plain,
    ! [X0: $i] :
      ( ( function @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl1658,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ~ ( relation @ ( function_inverse @ X0 ) )
      | ( ( relation_dom @ ( function_inverse @ X0 ) )
        = ( relation_rng @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl483,zip_derived_cl12]) ).

thf(zip_derived_cl11_003,plain,
    ! [X0: $i] :
      ( ( relation @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl1659,plain,
    ! [X0: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( ( relation_dom @ ( function_inverse @ X0 ) )
        = ( relation_rng @ X0 ) )
      | ~ ( one_to_one @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1658,zip_derived_cl11]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( in @ ( sk_ @ X0 ) @ ( relation_dom @ X0 ) )
      | ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d8_funct_1]) ).

thf(zip_derived_cl1661,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ( in @ ( sk_ @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ~ ( function @ ( function_inverse @ X0 ) )
      | ~ ( relation @ ( function_inverse @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1659,zip_derived_cl9]) ).

thf(zip_derived_cl12_004,plain,
    ! [X0: $i] :
      ( ( function @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl16237,plain,
    ! [X0: $i] :
      ( ~ ( relation @ ( function_inverse @ X0 ) )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ( in @ ( sk_ @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ~ ( one_to_one @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1661,zip_derived_cl12]) ).

thf(zip_derived_cl11_005,plain,
    ! [X0: $i] :
      ( ( relation @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl16238,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ( in @ ( sk_ @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ( one_to_one @ ( function_inverse @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl16237,zip_derived_cl11]) ).

thf(zip_derived_cl20845,plain,
    ! [X0: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ~ ( in @ ( sk__1 @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ~ ( one_to_one @ X0 )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ( ( sk_ @ ( function_inverse @ X0 ) )
        = ( sk__1 @ ( function_inverse @ X0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1828,zip_derived_cl16238]) ).

thf(zip_derived_cl1659_006,plain,
    ! [X0: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( ( relation_dom @ ( function_inverse @ X0 ) )
        = ( relation_rng @ X0 ) )
      | ~ ( one_to_one @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1658,zip_derived_cl11]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__1 @ X0 ) @ ( relation_dom @ X0 ) )
      | ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d8_funct_1]) ).

thf(zip_derived_cl1660,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ( in @ ( sk__1 @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ~ ( function @ ( function_inverse @ X0 ) )
      | ~ ( relation @ ( function_inverse @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1659,zip_derived_cl8]) ).

thf(zip_derived_cl12_007,plain,
    ! [X0: $i] :
      ( ( function @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl16185,plain,
    ! [X0: $i] :
      ( ~ ( relation @ ( function_inverse @ X0 ) )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ( in @ ( sk__1 @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ~ ( one_to_one @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1660,zip_derived_cl12]) ).

thf(zip_derived_cl11_008,plain,
    ! [X0: $i] :
      ( ( relation @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl16186,plain,
    ! [X0: $i] :
      ( ~ ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ( in @ ( sk__1 @ ( function_inverse @ X0 ) ) @ ( relation_rng @ X0 ) )
      | ( one_to_one @ ( function_inverse @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl16185,zip_derived_cl11]) ).

thf(zip_derived_cl20846,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ ( function_inverse @ X0 ) )
        = ( sk__1 @ ( function_inverse @ X0 ) ) )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ~ ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl20845,zip_derived_cl16186]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ X0 )
       != ( sk__1 @ X0 ) )
      | ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d8_funct_1]) ).

thf(zip_derived_cl20847,plain,
    ! [X0: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ~ ( one_to_one @ X0 )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ( ( sk_ @ ( function_inverse @ X0 ) )
       != ( sk_ @ ( function_inverse @ X0 ) ) )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ~ ( function @ ( function_inverse @ X0 ) )
      | ~ ( relation @ ( function_inverse @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20846,zip_derived_cl6]) ).

thf(zip_derived_cl20862,plain,
    ! [X0: $i] :
      ( ~ ( relation @ ( function_inverse @ X0 ) )
      | ~ ( function @ ( function_inverse @ X0 ) )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ~ ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl20847]) ).

thf(zip_derived_cl11_009,plain,
    ! [X0: $i] :
      ( ( relation @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl20877,plain,
    ! [X0: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ~ ( one_to_one @ X0 )
      | ( one_to_one @ ( function_inverse @ X0 ) )
      | ~ ( function @ ( function_inverse @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl20862,zip_derived_cl11]) ).

thf(zip_derived_cl12_010,plain,
    ! [X0: $i] :
      ( ( function @ ( function_inverse @ X0 ) )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_funct_1]) ).

thf(zip_derived_cl20878,plain,
    ! [X0: $i] :
      ( ( one_to_one @ ( function_inverse @ X0 ) )
      | ~ ( one_to_one @ X0 )
      | ~ ( function @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl20877,zip_derived_cl12]) ).

thf(t62_funct_1,conjecture,
    ! [A: $i] :
      ( ( ( relation @ A )
        & ( function @ A ) )
     => ( ( one_to_one @ A )
       => ( one_to_one @ ( function_inverse @ A ) ) ) ) ).

thf(zf_stmt_9,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( relation @ A )
          & ( function @ A ) )
       => ( ( one_to_one @ A )
         => ( one_to_one @ ( function_inverse @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t62_funct_1]) ).

thf(zip_derived_cl83,plain,
    ~ ( one_to_one @ ( function_inverse @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl20879,plain,
    ( ~ ( relation @ sk__15 )
    | ~ ( function @ sk__15 )
    | ~ ( one_to_one @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20878,zip_derived_cl83]) ).

thf(zip_derived_cl81,plain,
    relation @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl82,plain,
    function @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl84,plain,
    one_to_one @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl20889,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl20879,zip_derived_cl81,zip_derived_cl82,zip_derived_cl84]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU221+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.O1MJsIlVjP true
% 0.14/0.33  % Computer : n026.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Thu Aug 24 01:11:16 EDT 2023
% 0.14/0.33  % CPUTime  : 
% 0.14/0.33  % Running portfolio for 300 s
% 0.14/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.33  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % Running in FO mode
% 0.19/0.62  % Total configuration time : 435
% 0.19/0.62  % Estimated wc time : 1092
% 0.19/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 21.60/3.68  % Solved by fo/fo1_av.sh.
% 21.60/3.68  % done 2927 iterations in 2.927s
% 21.60/3.68  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 21.60/3.68  % SZS output start Refutation
% See solution above
% 21.60/3.69  
% 21.60/3.69  
% 21.60/3.69  % Terminating...
% 21.95/3.78  % Runner terminated.
% 21.95/3.80  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------