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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU497^1 : TPTP v9.2.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qb6L8UAKO3 true

% Computer : n031.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 Oct  2 04:54:47 PM UTC 2025

% Result   : Theorem 0.60s 0.88s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   93 (  31 unt;   0 typ;   0 def)
%            Number of atoms       :  255 ( 113 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  541 (  53   ~; 121   |;  27   &; 320   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   48 (  48   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   92 (  27   ^;  65   !;   0   ?;  92   :)

% Comments : 
%------------------------------------------------------------------------------
thf(so_type,type,
    so: ( $i > $i > $o ) > $o ).

thf(sk__18_type,type,
    sk__18: $i ).

thf(antisymm_type,type,
    antisymm: ( $i > $i > $o ) > $o ).

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

thf(refl_type,type,
    refl: ( $i > $i > $o ) > $o ).

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

thf(sk__19_type,type,
    sk__19: $i ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(trans_type,type,
    trans: ( $i > $i > $o ) > $o ).

thf(po_type,type,
    po: ( $i > $i > $o ) > $o ).

thf(asymm_type,type,
    asymm: ( $i > $i > $o ) > $o ).

thf(rc_type,type,
    rc: ( $i > $i > $o ) > $i > $i > $o ).

thf(sk__17_type,type,
    sk__17: $i ).

thf(strict_order,axiom,
    ( so
    = ( ^ [R: $i > $i > $o] :
          ( ( asymm @ R )
          & ( trans @ R ) ) ) ) ).

thf(transitive,axiom,
    ( trans
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i,Y: $i,Z: $i] :
          ( ( ( R @ X @ Y )
            & ( R @ Y @ Z ) )
         => ( R @ X @ Z ) ) ) ) ).

thf('0',plain,
    ( trans
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i,Y: $i,Z: $i] :
          ( ( ( R @ X @ Y )
            & ( R @ Y @ Z ) )
         => ( R @ X @ Z ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[transitive]) ).

thf('1',plain,
    ( trans
    = ( ^ [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(asymmetric,axiom,
    ( asymm
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i,Y: $i] :
          ( ( R @ X @ Y )
         => ~ ( R @ Y @ X ) ) ) ) ).

thf('2',plain,
    ( asymm
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i,Y: $i] :
          ( ( R @ X @ Y )
         => ~ ( R @ Y @ X ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[asymmetric]) ).

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

thf('4',plain,
    ( so
    = ( ^ [R: $i > $i > $o] :
          ( ( asymm @ R )
          & ( trans @ R ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[strict_order,'1','3']) ).

thf('5',plain,
    ( so
    = ( ^ [V_1: $i > $i > $o] :
          ( ( asymm @ V_1 )
          & ( trans @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(partial_order,axiom,
    ( po
    = ( ^ [R: $i > $i > $o] :
          ( ( refl @ R )
          & ( antisymm @ R )
          & ( trans @ R ) ) ) ) ).

thf(antisymmetric,axiom,
    ( antisymm
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i,Y: $i] :
          ( ( ( R @ X @ Y )
            & ( R @ Y @ X ) )
         => ( X = Y ) ) ) ) ).

thf('6',plain,
    ( antisymm
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i,Y: $i] :
          ( ( ( R @ X @ Y )
            & ( R @ Y @ X ) )
         => ( X = Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[antisymmetric]) ).

thf('7',plain,
    ( antisymm
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i,X6: $i] :
          ( ( ( V_1 @ X4 @ X6 )
            & ( V_1 @ X6 @ X4 ) )
         => ( X4 = X6 ) ) ) ),
    define([status(thm)]) ).

thf(reflexive,axiom,
    ( refl
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i] : ( R @ X @ X ) ) ) ).

thf('8',plain,
    ( refl
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i] : ( R @ X @ X ) ) ),
    inference(simplify_rw_rule,[status(thm)],[reflexive]) ).

thf('9',plain,
    ( refl
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
    define([status(thm)]) ).

thf('10',plain,
    ( po
    = ( ^ [R: $i > $i > $o] :
          ( ( refl @ R )
          & ( antisymm @ R )
          & ( trans @ R ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[partial_order,'1','7','9']) ).

thf('11',plain,
    ( po
    = ( ^ [V_1: $i > $i > $o] :
          ( ( refl @ V_1 )
          & ( antisymm @ V_1 )
          & ( trans @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(reflexive_closure,axiom,
    ( rc
    = ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
          ( ( X = Y )
          | ( R @ X @ Y ) ) ) ) ).

thf('12',plain,
    ( rc
    = ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
          ( ( X = Y )
          | ( R @ X @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[reflexive_closure]) ).

thf('13',plain,
    ( rc
    = ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] :
          ( ( V_2 = V_3 )
          | ( V_1 @ V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(strict_order_induces_partial_order,conjecture,
    ! [R: $i > $i > $o] :
      ( ( so @ R )
     => ( po @ ( rc @ R ) ) ) ).

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

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

thf(zip_derived_cl8,plain,
    ( ( sk__14 @ sk__17 @ sk__16 )
    | ( sk__17 = sk__16 )
    | ( sk__19 = sk__20 )
    | ( sk__14 @ sk__19 @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl12,plain,
    ( ( sk__16 != sk__17 )
    | ( sk__19 = sk__20 )
    | ( sk__14 @ sk__19 @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl55,plain,
    ( ( sk__14 @ sk__19 @ sk__20 )
    | ( sk__19 = sk__20 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl12]) ).

thf(zip_derived_cl55_001,plain,
    ( ( sk__14 @ sk__19 @ sk__20 )
    | ( sk__19 = sk__20 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl12]) ).

thf(zip_derived_cl9,plain,
    ( ( sk__14 @ sk__17 @ sk__16 )
    | ( sk__17 = sk__16 )
    | ( sk__18 = sk__19 )
    | ( sk__14 @ sk__18 @ sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl13,plain,
    ( ( sk__16 != sk__17 )
    | ( sk__18 = sk__19 )
    | ( sk__14 @ sk__18 @ sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl60,plain,
    ( ( sk__14 @ sk__18 @ sk__19 )
    | ( sk__18 = sk__19 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl9,zip_derived_cl13]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i,X3: $i,X4: $i] :
      ( ~ ( sk__14 @ X2 @ X3 )
      | ~ ( sk__14 @ X3 @ X4 )
      | ( sk__14 @ X2 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i] :
      ( ( sk__14 @ sk__17 @ sk__16 )
      | ( sk__18 = sk__19 )
      | ( sk__14 @ sk__18 @ X0 )
      | ~ ( sk__14 @ sk__19 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl1]) ).

thf(zip_derived_cl97,plain,
    ( ( sk__14 @ sk__17 @ sk__16 )
    | ( sk__19 = sk__20 )
    | ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__18 = sk__19 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl61]) ).

thf(zip_derived_cl101,plain,
    ( ( sk__18 = sk__19 )
    | ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__19 = sk__20 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl97]) ).

thf(zip_derived_cl6,plain,
    ( ( sk__14 @ sk__17 @ sk__16 )
    | ( sk__17 = sk__16 )
    | ~ ( sk__14 @ sk__18 @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ( ( sk__16 != sk__17 )
    | ~ ( sk__14 @ sk__18 @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl49,plain,
    ( ~ ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).

thf(zip_derived_cl106,plain,
    ( ( sk__14 @ sk__17 @ sk__16 )
    | ( sk__19 = sk__20 )
    | ( sk__18 = sk__19 ) ),
    inference(clc,[status(thm)],[zip_derived_cl101,zip_derived_cl49]) ).

thf(zip_derived_cl4,plain,
    ( ( sk__14 @ sk__16 @ sk__17 )
    | ( sk__16 = sk__17 )
    | ( sk__19 = sk__20 )
    | ( sk__14 @ sk__19 @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl12_002,plain,
    ( ( sk__16 != sk__17 )
    | ( sk__19 = sk__20 )
    | ( sk__14 @ sk__19 @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl28,plain,
    ( ( sk__14 @ sk__19 @ sk__20 )
    | ( sk__19 = sk__20 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).

thf(zip_derived_cl5,plain,
    ( ( sk__14 @ sk__16 @ sk__17 )
    | ( sk__16 = sk__17 )
    | ( sk__18 = sk__19 )
    | ( sk__14 @ sk__18 @ sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl13_003,plain,
    ( ( sk__16 != sk__17 )
    | ( sk__18 = sk__19 )
    | ( sk__14 @ sk__18 @ sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl50,plain,
    ( ( sk__14 @ sk__18 @ sk__19 )
    | ( sk__18 = sk__19 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).

thf(zip_derived_cl1_004,plain,
    ! [X2: $i,X3: $i,X4: $i] :
      ( ~ ( sk__14 @ X2 @ X3 )
      | ~ ( sk__14 @ X3 @ X4 )
      | ( sk__14 @ X2 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( sk__14 @ sk__16 @ sk__17 )
      | ( sk__18 = sk__19 )
      | ( sk__14 @ sk__18 @ X0 )
      | ~ ( sk__14 @ sk__19 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl1]) ).

thf(zip_derived_cl82,plain,
    ( ( sk__14 @ sk__16 @ sk__17 )
    | ( sk__19 = sk__20 )
    | ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__18 = sk__19 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl51]) ).

thf(zip_derived_cl85,plain,
    ( ( sk__18 = sk__19 )
    | ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__19 = sk__20 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl82]) ).

thf(zip_derived_cl2,plain,
    ( ( sk__14 @ sk__16 @ sk__17 )
    | ( sk__16 = sk__17 )
    | ~ ( sk__14 @ sk__18 @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10_005,plain,
    ( ( sk__16 != sk__17 )
    | ~ ( sk__14 @ sk__18 @ sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl46,plain,
    ( ~ ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2,zip_derived_cl10]) ).

thf(zip_derived_cl87,plain,
    ( ( sk__14 @ sk__16 @ sk__17 )
    | ( sk__19 = sk__20 )
    | ( sk__18 = sk__19 ) ),
    inference(clc,[status(thm)],[zip_derived_cl85,zip_derived_cl46]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( sk__14 @ X0 @ X1 )
      | ~ ( sk__14 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl89,plain,
    ( ( sk__18 = sk__19 )
    | ( sk__19 = sk__20 )
    | ~ ( sk__14 @ sk__17 @ sk__16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl0]) ).

thf(zip_derived_cl107,plain,
    ( ( sk__18 = sk__19 )
    | ( sk__19 = sk__20 ) ),
    inference(clc,[status(thm)],[zip_derived_cl106,zip_derived_cl89]) ).

thf(zip_derived_cl46_006,plain,
    ( ~ ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2,zip_derived_cl10]) ).

thf(zip_derived_cl112,plain,
    ( ~ ( sk__14 @ sk__18 @ sk__19 )
    | ( sk__18 = sk__19 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl46]) ).

thf(zip_derived_cl50_007,plain,
    ( ( sk__14 @ sk__18 @ sk__19 )
    | ( sk__18 = sk__19 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).

thf(zip_derived_cl129,plain,
    ( ( sk__14 @ sk__16 @ sk__17 )
    | ( sk__18 = sk__19 ) ),
    inference(clc,[status(thm)],[zip_derived_cl112,zip_derived_cl50]) ).

thf(zip_derived_cl107_008,plain,
    ( ( sk__18 = sk__19 )
    | ( sk__19 = sk__20 ) ),
    inference(clc,[status(thm)],[zip_derived_cl106,zip_derived_cl89]) ).

thf(zip_derived_cl49_009,plain,
    ( ~ ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).

thf(zip_derived_cl111,plain,
    ( ~ ( sk__14 @ sk__18 @ sk__19 )
    | ( sk__18 = sk__19 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl49]) ).

thf(zip_derived_cl60_010,plain,
    ( ( sk__14 @ sk__18 @ sk__19 )
    | ( sk__18 = sk__19 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl9,zip_derived_cl13]) ).

thf(zip_derived_cl118,plain,
    ( ( sk__14 @ sk__17 @ sk__16 )
    | ( sk__18 = sk__19 ) ),
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl60]) ).

thf(zip_derived_cl0_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( sk__14 @ X0 @ X1 )
      | ~ ( sk__14 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl120,plain,
    ( ( sk__18 = sk__19 )
    | ~ ( sk__14 @ sk__16 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl0]) ).

thf(zip_derived_cl130,plain,
    sk__18 = sk__19,
    inference(clc,[status(thm)],[zip_derived_cl129,zip_derived_cl120]) ).

thf(zip_derived_cl130_012,plain,
    sk__18 = sk__19,
    inference(clc,[status(thm)],[zip_derived_cl129,zip_derived_cl120]) ).

thf(zip_derived_cl139,plain,
    ( ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__18 = sk__20 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl130,zip_derived_cl130]) ).

thf(zip_derived_cl7,plain,
    ( ( sk__14 @ sk__17 @ sk__16 )
    | ( sk__17 = sk__16 )
    | ( sk__18 != sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11,plain,
    ( ( sk__16 != sk__17 )
    | ( sk__18 != sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl27,plain,
    ( ( sk__18 != sk__20 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl7,zip_derived_cl11]) ).

thf(zip_derived_cl0_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( sk__14 @ X0 @ X1 )
      | ~ ( sk__14 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl30,plain,
    ( ( sk__18 != sk__20 )
    | ~ ( sk__14 @ sk__16 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ( ( sk__14 @ sk__16 @ sk__17 )
    | ( sk__16 = sk__17 )
    | ( sk__18 != sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl11_014,plain,
    ( ( sk__16 != sk__17 )
    | ( sk__18 != sk__20 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl26,plain,
    ( ( sk__18 != sk__20 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3,zip_derived_cl11]) ).

thf(zip_derived_cl37,plain,
    sk__18 != sk__20,
    inference(clc,[status(thm)],[zip_derived_cl30,zip_derived_cl26]) ).

thf(zip_derived_cl140,plain,
    ( ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl139,zip_derived_cl37]) ).

thf(zip_derived_cl49_015,plain,
    ( ~ ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__14 @ sk__17 @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).

thf(zip_derived_cl150,plain,
    sk__14 @ sk__17 @ sk__16,
    inference(clc,[status(thm)],[zip_derived_cl140,zip_derived_cl49]) ).

thf(zip_derived_cl0_016,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( sk__14 @ X0 @ X1 )
      | ~ ( sk__14 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl152,plain,
    ~ ( sk__14 @ sk__16 @ sk__17 ),
    inference('sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl0]) ).

thf(zip_derived_cl28_017,plain,
    ( ( sk__14 @ sk__19 @ sk__20 )
    | ( sk__19 = sk__20 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl12]) ).

thf(zip_derived_cl130_018,plain,
    sk__18 = sk__19,
    inference(clc,[status(thm)],[zip_derived_cl129,zip_derived_cl120]) ).

thf(zip_derived_cl130_019,plain,
    sk__18 = sk__19,
    inference(clc,[status(thm)],[zip_derived_cl129,zip_derived_cl120]) ).

thf(zip_derived_cl133,plain,
    ( ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__18 = sk__20 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl130,zip_derived_cl130]) ).

thf(zip_derived_cl37_020,plain,
    sk__18 != sk__20,
    inference(clc,[status(thm)],[zip_derived_cl30,zip_derived_cl26]) ).

thf(zip_derived_cl134,plain,
    ( ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl133,zip_derived_cl37]) ).

thf(zip_derived_cl46_021,plain,
    ( ~ ( sk__14 @ sk__18 @ sk__20 )
    | ( sk__14 @ sk__16 @ sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2,zip_derived_cl10]) ).

thf(zip_derived_cl145,plain,
    sk__14 @ sk__16 @ sk__17,
    inference(clc,[status(thm)],[zip_derived_cl134,zip_derived_cl46]) ).

thf(zip_derived_cl155,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl145]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SEU497^1 : TPTP v9.2.0. Released v3.6.0.
% 0.04/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qb6L8UAKO3 true
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  1 16:10:23 EDT 2025
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.22/0.37  % Running in HO mode
% 0.57/0.68  % Total configuration time : 828
% 0.57/0.68  % Estimated wc time : 1656
% 0.57/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.81  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.81  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.86  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.87  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.60/0.88  % Solved by lams/40_c.s.sh.
% 0.60/0.88  % done 59 iterations in 0.081s
% 0.60/0.88  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.88  % SZS output start Refutation
% See solution above
% 0.60/0.88  
% 0.60/0.88  
% 0.60/0.88  % Terminating...
% 2.18/1.00  % Runner terminated.
% 2.18/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------