TSTP Solution File: LCL868^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL868^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Je3sIffJcH 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 09:02:28 EDT 2023

% Result   : Theorem 0.58s 0.84s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   90 (  31 unt;  12 typ;   0 def)
%            Number of atoms       :  161 (  12 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  521 (  57   ~;  69   |;  21   &; 359   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   44 (  44   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  129 (  12   ^; 112   !;   5   ?; 129   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__13_type,type,
    sk__13: $i ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(sk__9_type,type,
    sk__9: $i > $i > $o ).

thf(meuclidean_type,type,
    meuclidean: ( $i > $i > $o ) > $o ).

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

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

thf(mreflexive_type,type,
    mreflexive: ( $i > $i > $o ) > $o ).

thf(mtransitive_type,type,
    mtransitive: ( $i > $i > $o ) > $o ).

thf(mserial_type,type,
    mserial: ( $i > $i > $o ) > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(meuclidean,axiom,
    ( meuclidean
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ S @ U ) )
         => ( R @ T @ U ) ) ) ) ).

thf('0',plain,
    ( meuclidean
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ S @ U ) )
         => ( R @ T @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[meuclidean]) ).

thf('1',plain,
    ( meuclidean
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i,X6: $i,X8: $i] :
          ( ( ( V_1 @ X4 @ X6 )
            & ( V_1 @ X4 @ X8 ) )
         => ( V_1 @ X6 @ X8 ) ) ) ),
    define([status(thm)]) ).

thf(mtransitive,axiom,
    ( mtransitive
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ T @ U ) )
         => ( R @ S @ U ) ) ) ) ).

thf('2',plain,
    ( mtransitive
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ T @ U ) )
         => ( R @ S @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mtransitive]) ).

thf('3',plain,
    ( mtransitive
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i,X6: $i,X8: $i] :
          ( ( ( V_1 @ X4 @ X6 )
            & ( V_1 @ X6 @ X8 ) )
         => ( V_1 @ X4 @ X8 ) ) ) ),
    define([status(thm)]) ).

thf(mserial,axiom,
    ( mserial
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i] :
        ? [T: $i] : ( R @ S @ T ) ) ) ).

thf('4',plain,
    ( mserial
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i] :
        ? [T: $i] : ( R @ S @ T ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mserial]) ).

thf('5',plain,
    ( mserial
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i] :
        ? [X6: $i] : ( V_1 @ X4 @ X6 ) ) ),
    define([status(thm)]) ).

thf(mreflexive,axiom,
    ( mreflexive
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i] : ( R @ S @ S ) ) ) ).

thf('6',plain,
    ( mreflexive
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i] : ( R @ S @ S ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mreflexive]) ).

thf('7',plain,
    ( mreflexive
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
    define([status(thm)]) ).

thf(conj,conjecture,
    ! [R: $i > $i > $o] :
      ( ( ( mreflexive @ R )
        & ( meuclidean @ R ) )
     => ( ( mserial @ R )
        & ( mtransitive @ R )
        & ( meuclidean @ R ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $i > $o] :
      ( ( ! [X6: $i] : ( X4 @ X6 @ X6 )
        & ! [X8: $i,X10: $i,X12: $i] :
            ( ( ( X4 @ X8 @ X10 )
              & ( X4 @ X8 @ X12 ) )
           => ( X4 @ X10 @ X12 ) ) )
     => ( ! [X14: $i] :
          ? [X16: $i] : ( X4 @ X14 @ X16 )
        & ! [X18: $i,X20: $i,X22: $i] :
            ( ( ( X4 @ X18 @ X20 )
              & ( X4 @ X20 @ X22 ) )
           => ( X4 @ X18 @ X22 ) )
        & ! [X24: $i,X26: $i,X28: $i] :
            ( ( ( X4 @ X24 @ X26 )
              & ( X4 @ X24 @ X28 ) )
           => ( X4 @ X26 @ X28 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $i > $o] :
        ( ( ! [X6: $i] : ( X4 @ X6 @ X6 )
          & ! [X8: $i,X10: $i,X12: $i] :
              ( ( ( X4 @ X8 @ X10 )
                & ( X4 @ X8 @ X12 ) )
             => ( X4 @ X10 @ X12 ) ) )
       => ( ! [X14: $i] :
            ? [X16: $i] : ( X4 @ X14 @ X16 )
          & ! [X18: $i,X20: $i,X22: $i] :
              ( ( ( X4 @ X18 @ X20 )
                & ( X4 @ X20 @ X22 ) )
             => ( X4 @ X18 @ X22 ) )
          & ! [X24: $i,X26: $i,X28: $i] :
              ( ( ( X4 @ X24 @ X26 )
                & ( X4 @ X24 @ X28 ) )
             => ( X4 @ X26 @ X28 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X4: $i] :
      ( ~ ( sk__9 @ sk__10 @ X4 )
      | ( sk__9 @ sk__12 @ sk__13 )
      | ( sk__9 @ sk__14 @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11,plain,
    ( ( sk__9 @ sk__14 @ sk__16 )
    | ( sk__9 @ sk__12 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X4: $i] :
      ( ~ ( sk__9 @ sk__10 @ X4 )
      | ( sk__9 @ sk__12 @ sk__13 )
      | ( sk__9 @ sk__14 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl13,plain,
    ( ( sk__9 @ sk__14 @ sk__15 )
    | ( sk__9 @ sk__12 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl7]) ).

thf(zip_derived_cl1,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( sk__9 @ X1 @ X2 )
      | ~ ( sk__9 @ X1 @ X3 )
      | ( sk__9 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( sk__9 @ sk__12 @ sk__13 )
      | ( sk__9 @ sk__15 @ X0 )
      | ~ ( sk__9 @ sk__14 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).

thf(zip_derived_cl80,plain,
    ( ( sk__9 @ sk__12 @ sk__13 )
    | ( sk__9 @ sk__15 @ sk__16 )
    | ( sk__9 @ sk__12 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl19]) ).

thf(zip_derived_cl89,plain,
    ( ( sk__9 @ sk__15 @ sk__16 )
    | ( sk__9 @ sk__12 @ sk__13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl5,plain,
    ! [X4: $i] :
      ( ~ ( sk__9 @ sk__10 @ X4 )
      | ( sk__9 @ sk__12 @ sk__13 )
      | ~ ( sk__9 @ sk__15 @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i] :
      ( ( sk__9 @ sk__12 @ sk__13 )
      | ( sk__9 @ sk__12 @ sk__13 )
      | ~ ( sk__9 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl5]) ).

thf(zip_derived_cl105,plain,
    ! [X0: $i] :
      ( ~ ( sk__9 @ sk__10 @ X0 )
      | ( sk__9 @ sk__12 @ sk__13 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl100]) ).

thf(zip_derived_cl109,plain,
    sk__9 @ sk__12 @ sk__13,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl105]) ).

thf(zip_derived_cl1_005,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( sk__9 @ X1 @ X2 )
      | ~ ( sk__9 @ X1 @ X3 )
      | ( sk__9 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i] :
      ( ( sk__9 @ sk__13 @ X0 )
      | ~ ( sk__9 @ sk__12 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl1]) ).

thf(zip_derived_cl1_006,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( sk__9 @ X1 @ X2 )
      | ~ ( sk__9 @ X1 @ X3 )
      | ( sk__9 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( sk__9 @ sk__12 @ X0 )
      | ( sk__9 @ X0 @ X1 )
      | ~ ( sk__9 @ sk__13 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl1]) ).

thf(zip_derived_cl0_007,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl156,plain,
    ! [X0: $i] :
      ( ( sk__9 @ X0 @ sk__13 )
      | ~ ( sk__9 @ sk__12 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl0]) ).

thf(zip_derived_cl0_008,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0_009,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ! [X4: $i] :
      ( ~ ( sk__9 @ sk__10 @ X4 )
      | ( sk__9 @ sk__11 @ sk__12 )
      | ( sk__9 @ sk__14 @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl15,plain,
    ( ( sk__9 @ sk__14 @ sk__16 )
    | ( sk__9 @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl9]) ).

thf(zip_derived_cl0_010,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ! [X4: $i] :
      ( ~ ( sk__9 @ sk__10 @ X4 )
      | ( sk__9 @ sk__11 @ sk__12 )
      | ( sk__9 @ sk__14 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl53,plain,
    ( ( sk__9 @ sk__14 @ sk__15 )
    | ( sk__9 @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl10]) ).

thf(zip_derived_cl1_011,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( sk__9 @ X1 @ X2 )
      | ~ ( sk__9 @ X1 @ X3 )
      | ( sk__9 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i] :
      ( ( sk__9 @ sk__11 @ sk__12 )
      | ( sk__9 @ sk__15 @ X0 )
      | ~ ( sk__9 @ sk__14 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl1]) ).

thf(zip_derived_cl128,plain,
    ( ( sk__9 @ sk__11 @ sk__12 )
    | ( sk__9 @ sk__15 @ sk__16 )
    | ( sk__9 @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl56]) ).

thf(zip_derived_cl134,plain,
    ( ( sk__9 @ sk__15 @ sk__16 )
    | ( sk__9 @ sk__11 @ sk__12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl128]) ).

thf(zip_derived_cl8,plain,
    ! [X4: $i] :
      ( ~ ( sk__9 @ sk__10 @ X4 )
      | ( sk__9 @ sk__11 @ sk__12 )
      | ~ ( sk__9 @ sk__15 @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl140,plain,
    ! [X0: $i] :
      ( ( sk__9 @ sk__11 @ sk__12 )
      | ( sk__9 @ sk__11 @ sk__12 )
      | ~ ( sk__9 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl8]) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i] :
      ( ~ ( sk__9 @ sk__10 @ X0 )
      | ( sk__9 @ sk__11 @ sk__12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl140]) ).

thf(zip_derived_cl146,plain,
    sk__9 @ sk__11 @ sk__12,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl144]) ).

thf(zip_derived_cl1_012,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( sk__9 @ X1 @ X2 )
      | ~ ( sk__9 @ X1 @ X3 )
      | ( sk__9 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl148,plain,
    ! [X0: $i] :
      ( ( sk__9 @ sk__12 @ X0 )
      | ~ ( sk__9 @ sk__11 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl1]) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i] :
      ( ( sk__9 @ X0 @ sk__13 )
      | ~ ( sk__9 @ sk__11 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl156,zip_derived_cl148]) ).

thf(zip_derived_cl4,plain,
    ! [X4: $i] :
      ( ~ ( sk__9 @ sk__10 @ X4 )
      | ~ ( sk__9 @ sk__11 @ sk__13 )
      | ( sk__9 @ sk__14 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl224,plain,
    ! [X0: $i] :
      ( ~ ( sk__9 @ sk__11 @ sk__11 )
      | ( sk__9 @ sk__14 @ sk__15 )
      | ~ ( sk__9 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl4]) ).

thf(zip_derived_cl0_013,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl243,plain,
    ! [X0: $i] :
      ( ( sk__9 @ sk__14 @ sk__15 )
      | ~ ( sk__9 @ sk__10 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl224,zip_derived_cl0]) ).

thf(zip_derived_cl253,plain,
    sk__9 @ sk__14 @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl243]) ).

thf(zip_derived_cl1_014,plain,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( sk__9 @ X1 @ X2 )
      | ~ ( sk__9 @ X1 @ X3 )
      | ( sk__9 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl255,plain,
    ! [X0: $i] :
      ( ( sk__9 @ sk__15 @ X0 )
      | ~ ( sk__9 @ sk__14 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl1]) ).

thf(zip_derived_cl191_015,plain,
    ! [X0: $i] :
      ( ( sk__9 @ X0 @ sk__13 )
      | ~ ( sk__9 @ sk__11 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl156,zip_derived_cl148]) ).

thf(zip_derived_cl2,plain,
    ! [X4: $i] :
      ( ~ ( sk__9 @ sk__10 @ X4 )
      | ~ ( sk__9 @ sk__11 @ sk__13 )
      | ~ ( sk__9 @ sk__15 @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl226,plain,
    ! [X0: $i] :
      ( ~ ( sk__9 @ sk__11 @ sk__11 )
      | ~ ( sk__9 @ sk__15 @ sk__16 )
      | ~ ( sk__9 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl0_016,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl245,plain,
    ! [X0: $i] :
      ( ~ ( sk__9 @ sk__15 @ sk__16 )
      | ~ ( sk__9 @ sk__10 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl226,zip_derived_cl0]) ).

thf(zip_derived_cl266,plain,
    ! [X0: $i] :
      ( ~ ( sk__9 @ sk__14 @ sk__16 )
      | ~ ( sk__9 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl255,zip_derived_cl245]) ).

thf(zip_derived_cl0_017,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl191_018,plain,
    ! [X0: $i] :
      ( ( sk__9 @ X0 @ sk__13 )
      | ~ ( sk__9 @ sk__11 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl156,zip_derived_cl148]) ).

thf(zip_derived_cl3,plain,
    ! [X4: $i] :
      ( ~ ( sk__9 @ sk__10 @ X4 )
      | ~ ( sk__9 @ sk__11 @ sk__13 )
      | ( sk__9 @ sk__14 @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl225,plain,
    ! [X0: $i] :
      ( ~ ( sk__9 @ sk__11 @ sk__11 )
      | ( sk__9 @ sk__14 @ sk__16 )
      | ~ ( sk__9 @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl191,zip_derived_cl3]) ).

thf(zip_derived_cl0_019,plain,
    ! [X0: $i] : ( sk__9 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl244,plain,
    ! [X0: $i] :
      ( ( sk__9 @ sk__14 @ sk__16 )
      | ~ ( sk__9 @ sk__10 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl225,zip_derived_cl0]) ).

thf(zip_derived_cl257,plain,
    sk__9 @ sk__14 @ sk__16,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl244]) ).

thf(zip_derived_cl270,plain,
    ! [X0: $i] :
      ~ ( sk__9 @ sk__10 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl257]) ).

thf(zip_derived_cl272,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl270]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL868^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Je3sIffJcH true
% 0.13/0.35  % Computer : n009.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 : Fri Aug 25 04:18:06 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/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 HO mode
% 0.42/0.67  % Total configuration time : 828
% 0.42/0.67  % Estimated wc time : 1656
% 0.42/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.84  % Solved by lams/40_c.s.sh.
% 0.58/0.84  % done 96 iterations in 0.055s
% 0.58/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.84  % SZS output start Refutation
% See solution above
% 0.58/0.84  
% 0.58/0.84  
% 0.58/0.84  % Terminating...
% 0.58/0.88  % Runner terminated.
% 1.69/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------