TSTP Solution File: SEU197+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU197+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gqV8jxL1r3 true

% Computer : n009.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 19:11:09 EDT 2023

% Result   : Theorem 119.99s 17.99s
% Output   : Refutation 119.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   81 (  17 unt;   9 typ;   0 def)
%            Number of atoms       :  187 (   7 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  789 (  87   ~; 100   |;   3   &; 587   @)
%                                         (   6 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :  106 (   0   ^; 105   !;   1   ?; 106   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__11_type,type,
    sk__11: $i ).

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

thf(sk__12_type,type,
    sk__12: $i ).

thf(sk__4_type,type,
    sk__4: $i > $i > $i ).

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

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

thf(relation_rng_restriction_type,type,
    relation_rng_restriction: $i > $i > $i ).

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

thf(sk__10_type,type,
    sk__10: $i ).

thf(dt_k8_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ( relation @ ( relation_rng_restriction @ A @ B ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k8_relat_1]) ).

thf(t115_relat_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation @ C )
     => ( ( in @ A @ ( relation_rng @ ( relation_rng_restriction @ B @ C ) ) )
      <=> ( ( in @ A @ B )
          & ( in @ A @ ( relation_rng @ C ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( relation @ C )
       => ( ( in @ A @ ( relation_rng @ ( relation_rng_restriction @ B @ C ) ) )
        <=> ( ( in @ A @ B )
            & ( in @ A @ ( relation_rng @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t115_relat_1]) ).

thf(zip_derived_cl40,plain,
    ( ( in @ sk__10 @ ( relation_rng @ sk__12 ) )
    | ( in @ sk__10 @ ( relation_rng @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d5_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( B
            = ( relation_rng @ A ) )
        <=> ! [C: $i] :
              ( ( in @ C @ B )
            <=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( relation_rng @ X0 ) )
      | ( in @ ( ordered_pair @ ( sk__4 @ X2 @ X0 ) @ X2 ) @ X0 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d5_relat_1]) ).

thf(zip_derived_cl1612,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ X1 @ ( relation_rng @ X0 ) )
      | ( in @ ( ordered_pair @ ( sk__4 @ X1 @ X0 ) @ X1 ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl1615,plain,
    ( ( in @ sk__10 @ ( relation_rng @ sk__12 ) )
    | ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ sk__10 ) @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
    | ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl1612]) ).

thf(zip_derived_cl31783,plain,
    ( ~ ( relation @ sk__12 )
    | ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ sk__10 ) @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
    | ( in @ sk__10 @ ( relation_rng @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1615]) ).

thf(zip_derived_cl37,plain,
    relation @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31790,plain,
    ( ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ sk__10 ) @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
    | ( in @ sk__10 @ ( relation_rng @ sk__12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl31783,zip_derived_cl37]) ).

thf(zip_derived_cl1612_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ X1 @ ( relation_rng @ X0 ) )
      | ( in @ ( ordered_pair @ ( sk__4 @ X1 @ X0 ) @ X1 ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl31796,plain,
    ( ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ sk__10 ) @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
    | ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ sk__12 ) @ sk__10 ) @ sk__12 )
    | ~ ( relation @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31790,zip_derived_cl1612]) ).

thf(zip_derived_cl37_002,plain,
    relation @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31807,plain,
    ( ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ sk__10 ) @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
    | ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ sk__12 ) @ sk__10 ) @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl31796,zip_derived_cl37]) ).

thf(d12_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ! [C: $i] :
          ( ( relation @ C )
         => ( ( C
              = ( relation_rng_restriction @ A @ B ) )
          <=> ! [D: $i,E: $i] :
                ( ( in @ ( ordered_pair @ D @ E ) @ C )
              <=> ( ( in @ E @ A )
                  & ( in @ ( ordered_pair @ D @ E ) @ B ) ) ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( relation @ X0 )
      | ( X0
       != ( relation_rng_restriction @ X1 @ X2 ) )
      | ( in @ ( ordered_pair @ X3 @ X4 ) @ X2 )
      | ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[d12_relat_1]) ).

thf(zip_derived_cl1633,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ ( relation_rng_restriction @ X1 @ X0 ) )
      | ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
      | ~ ( relation @ ( relation_rng_restriction @ X1 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl19_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k8_relat_1]) ).

thf(zip_derived_cl1634,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
      | ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ ( relation_rng_restriction @ X1 @ X0 ) )
      | ~ ( relation @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1633,zip_derived_cl19]) ).

thf(zip_derived_cl37694,plain,
    ( ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ sk__12 ) @ sk__10 ) @ sk__12 )
    | ~ ( relation @ sk__12 )
    | ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ sk__10 ) @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31807,zip_derived_cl1634]) ).

thf(zip_derived_cl37_004,plain,
    relation @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37730,plain,
    ( ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ sk__12 ) @ sk__10 ) @ sk__12 )
    | ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ sk__10 ) @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl37694,zip_derived_cl37]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1
       != ( relation_rng @ X0 ) )
      | ( in @ X2 @ X1 )
      | ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d5_relat_1]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ X0 )
      | ( in @ X1 @ ( relation_rng @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl38278,plain,
    ( ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ sk__12 ) @ sk__10 ) @ sk__12 )
    | ( in @ sk__10 @ ( relation_rng @ sk__12 ) )
    | ~ ( relation @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37730,zip_derived_cl155]) ).

thf(zip_derived_cl37_005,plain,
    relation @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38308,plain,
    ( ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ sk__12 ) @ sk__10 ) @ sk__12 )
    | ( in @ sk__10 @ ( relation_rng @ sk__12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl38278,zip_derived_cl37]) ).

thf(zip_derived_cl1612_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ X1 @ ( relation_rng @ X0 ) )
      | ( in @ ( ordered_pair @ ( sk__4 @ X1 @ X0 ) @ X1 ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl38327,plain,
    ( ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ sk__12 ) @ sk__10 ) @ sk__12 )
    | ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ sk__12 ) @ sk__10 ) @ sk__12 )
    | ~ ( relation @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38308,zip_derived_cl1612]) ).

thf(zip_derived_cl37_007,plain,
    relation @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38342,plain,
    ( ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ sk__12 ) @ sk__10 ) @ sk__12 )
    | ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ sk__12 ) @ sk__10 ) @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl38327,zip_derived_cl37]) ).

thf(zip_derived_cl38343,plain,
    in @ ( ordered_pair @ ( sk__4 @ sk__10 @ sk__12 ) @ sk__10 ) @ sk__12,
    inference(simplify,[status(thm)],[zip_derived_cl38342]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( relation @ X0 )
      | ( X0
       != ( relation_rng_restriction @ X1 @ X2 ) )
      | ( in @ ( ordered_pair @ X3 @ X4 ) @ X0 )
      | ~ ( in @ ( ordered_pair @ X3 @ X4 ) @ X2 )
      | ~ ( in @ X4 @ X1 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[d12_relat_1]) ).

thf(zip_derived_cl1683,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
      | ( in @ ( ordered_pair @ X3 @ X2 ) @ ( relation_rng_restriction @ X1 @ X0 ) )
      | ~ ( relation @ ( relation_rng_restriction @ X1 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl19_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k8_relat_1]) ).

thf(zip_derived_cl18417,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( in @ ( ordered_pair @ X3 @ X2 ) @ ( relation_rng_restriction @ X1 @ X0 ) )
      | ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1683,zip_derived_cl19]) ).

thf(zip_derived_cl155_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ X0 )
      | ( in @ X1 @ ( relation_rng @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl18421,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
      | ( in @ X2 @ ( relation_rng @ ( relation_rng_restriction @ X1 @ X0 ) ) )
      | ~ ( relation @ ( relation_rng_restriction @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18417,zip_derived_cl155]) ).

thf(zip_derived_cl19_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k8_relat_1]) ).

thf(zip_derived_cl19147,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( in @ X2 @ ( relation_rng @ ( relation_rng_restriction @ X1 @ X0 ) ) )
      | ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl18421,zip_derived_cl19]) ).

thf(zip_derived_cl38349,plain,
    ! [X0: $i] :
      ( ~ ( relation @ sk__12 )
      | ~ ( in @ sk__10 @ X0 )
      | ( in @ sk__10 @ ( relation_rng @ ( relation_rng_restriction @ X0 @ sk__12 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38343,zip_derived_cl19147]) ).

thf(zip_derived_cl37_011,plain,
    relation @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38379,plain,
    ! [X0: $i] :
      ( ~ ( in @ sk__10 @ X0 )
      | ( in @ sk__10 @ ( relation_rng @ ( relation_rng_restriction @ X0 @ sk__12 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl38349,zip_derived_cl37]) ).

thf(zip_derived_cl38,plain,
    ( ~ ( in @ sk__10 @ ( relation_rng @ sk__12 ) )
    | ~ ( in @ sk__10 @ sk__11 )
    | ~ ( in @ sk__10 @ ( relation_rng @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19_012,plain,
    ! [X0: $i,X1: $i] :
      ( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k8_relat_1]) ).

thf(zip_derived_cl39,plain,
    ( ( in @ sk__10 @ sk__11 )
    | ( in @ sk__10 @ ( relation_rng @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1612_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ X1 @ ( relation_rng @ X0 ) )
      | ( in @ ( ordered_pair @ ( sk__4 @ X1 @ X0 ) @ X1 ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl1614,plain,
    ( ( in @ sk__10 @ sk__11 )
    | ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ sk__10 ) @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
    | ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl1612]) ).

thf(zip_derived_cl31448,plain,
    ( ~ ( relation @ sk__12 )
    | ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ sk__10 ) @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
    | ( in @ sk__10 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1614]) ).

thf(zip_derived_cl37_014,plain,
    relation @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31455,plain,
    ( ( in @ ( ordered_pair @ ( sk__4 @ sk__10 @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) @ sk__10 ) @ ( relation_rng_restriction @ sk__11 @ sk__12 ) )
    | ( in @ sk__10 @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl31448,zip_derived_cl37]) ).

thf(zip_derived_cl19_015,plain,
    ! [X0: $i,X1: $i] :
      ( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k8_relat_1]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( relation @ X0 )
      | ( X0
       != ( relation_rng_restriction @ X1 @ X2 ) )
      | ( in @ X3 @ X1 )
      | ~ ( in @ ( ordered_pair @ X4 @ X3 ) @ X0 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[d12_relat_1]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ ( relation_rng_restriction @ X1 @ X0 ) )
      | ( in @ X2 @ X1 )
      | ~ ( relation @ ( relation_rng_restriction @ X1 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl269,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( relation @ X0 )
      | ( in @ X2 @ X1 )
      | ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ ( relation_rng_restriction @ X1 @ X0 ) )
      | ~ ( relation @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl262]) ).

thf(zip_derived_cl273,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ ( ordered_pair @ X3 @ X2 ) @ ( relation_rng_restriction @ X1 @ X0 ) )
      | ( in @ X2 @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl269]) ).

thf(zip_derived_cl31656,plain,
    ( ( in @ sk__10 @ sk__11 )
    | ~ ( relation @ sk__12 )
    | ( in @ sk__10 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31455,zip_derived_cl273]) ).

thf(zip_derived_cl37_016,plain,
    relation @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31684,plain,
    ( ( in @ sk__10 @ sk__11 )
    | ( in @ sk__10 @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl31656,zip_derived_cl37]) ).

thf(zip_derived_cl31685,plain,
    in @ sk__10 @ sk__11,
    inference(simplify,[status(thm)],[zip_derived_cl31684]) ).

thf(zip_derived_cl31687,plain,
    ( ~ ( in @ sk__10 @ ( relation_rng @ sk__12 ) )
    | ~ ( in @ sk__10 @ ( relation_rng @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl31685]) ).

thf(zip_derived_cl38343_017,plain,
    in @ ( ordered_pair @ ( sk__4 @ sk__10 @ sk__12 ) @ sk__10 ) @ sk__12,
    inference(simplify,[status(thm)],[zip_derived_cl38342]) ).

thf(zip_derived_cl155_018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ ( ordered_pair @ X2 @ X1 ) @ X0 )
      | ( in @ X1 @ ( relation_rng @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl38350,plain,
    ( ( in @ sk__10 @ ( relation_rng @ sk__12 ) )
    | ~ ( relation @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38343,zip_derived_cl155]) ).

thf(zip_derived_cl37_019,plain,
    relation @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38380,plain,
    in @ sk__10 @ ( relation_rng @ sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl38350,zip_derived_cl37]) ).

thf(zip_derived_cl38389,plain,
    ~ ( in @ sk__10 @ ( relation_rng @ ( relation_rng_restriction @ sk__11 @ sk__12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl31687,zip_derived_cl38380]) ).

thf(zip_derived_cl38591,plain,
    ~ ( in @ sk__10 @ sk__11 ),
    inference('sup-',[status(thm)],[zip_derived_cl38379,zip_derived_cl38389]) ).

thf(zip_derived_cl31685_020,plain,
    in @ sk__10 @ sk__11,
    inference(simplify,[status(thm)],[zip_derived_cl31684]) ).

thf(zip_derived_cl38606,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl38591,zip_derived_cl31685]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU197+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gqV8jxL1r3 true
% 0.18/0.34  % Computer : n009.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Wed Aug 23 14:28:21 EDT 2023
% 0.18/0.34  % CPUTime  : 
% 0.18/0.34  % Running portfolio for 300 s
% 0.18/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.34  % Number of cores: 8
% 0.18/0.35  % Python version: Python 3.6.8
% 0.18/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.28/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.28/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 119.99/17.99  % Solved by fo/fo7.sh.
% 119.99/17.99  % done 2783 iterations in 17.204s
% 119.99/17.99  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 119.99/17.99  % SZS output start Refutation
% See solution above
% 119.99/17.99  
% 119.99/17.99  
% 119.99/17.99  % Terminating...
% 120.60/18.10  % Runner terminated.
% 120.60/18.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------