TSTP Solution File: LCL956^18 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL956^18 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.b9vpM7nx6b true

% Computer : n014.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 09:02:49 EDT 2023

% Result   : Theorem 0.20s 0.76s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  101 (  43 unt;  19 typ;   0 def)
%            Number of atoms       :  242 (  15 equ;   0 cnn)
%            Maximal formula atoms :   30 (   2 avg)
%            Number of connectives :  587 (  56   ~;  66   |;  25   &; 409   @)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   52 (  52   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   8 con; 0-3 aty)
%            Number of variables   :  161 (  37   ^; 113   !;  11   ?; 161   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mworld_type,type,
    mworld: $tType ).

thf(p_type,type,
    p: mworld > $o ).

thf(mimplies_type,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

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

thf(mbox_type,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(mactual_type,type,
    mactual: mworld ).

thf(mand_type,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

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

thf(sk__5_type,type,
    sk__5: mworld ).

thf(sk__11_type,type,
    sk__11: mworld ).

thf(mlocal_type,type,
    mlocal: ( mworld > $o ) > $o ).

thf(sk__9_type,type,
    sk__9: mworld ).

thf(big_q_type,type,
    big_q: $i > mworld > $o ).

thf(sk__7_type,type,
    sk__7: mworld ).

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

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

thf(mrel_type,type,
    mrel: mworld > mworld > $o ).

thf(mexists_di_type,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf(eiw_di_type,type,
    eiw_di: $i > mworld > $o ).

thf(mexists_di_def,axiom,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ? [X: $i] :
          ( ( A @ X @ W )
          & ( eiw_di @ X @ W ) ) ) ) ).

thf('0',plain,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ? [X: $i] :
          ( ( A @ X @ W )
          & ( eiw_di @ X @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mexists_di_def]) ).

thf('1',plain,
    ( mexists_di
    = ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
        ? [X4: $i] :
          ( ( V_1 @ X4 @ V_2 )
          & ( eiw_di @ X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(mbox_def,axiom,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ) ).

thf('2',plain,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).

thf('3',plain,
    ( mbox
    = ( ^ [V_1: mworld > $o,V_2: mworld] :
        ! [X4: mworld] :
          ( ( mrel @ V_2 @ X4 )
         => ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(mimplies_def,axiom,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
         => ( B @ W ) ) ) ) ).

thf('4',plain,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
         => ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).

thf('5',plain,
    ( mimplies
    = ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
          ( ( V_1 @ V_3 )
         => ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(mand_def,axiom,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ) ).

thf('6',plain,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand_def]) ).

thf('7',plain,
    ( mand
    = ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
          ( ( V_1 @ V_3 )
          & ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(mlocal_def,axiom,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).

thf('8',plain,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).

thf('9',plain,
    ( mlocal
    = ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
    define([status(thm)]) ).

thf(x2109,conjecture,
    ( mlocal
    @ ( mand
      @ ( mbox
        @ ( mimplies
          @ ( mexists_di
            @ ^ [X: $i] : ( mand @ ( mbox @ p ) @ ( mbox @ ( big_q @ X ) ) ) )
          @ ( mand @ ( mbox @ p )
            @ ( mexists_di
              @ ^ [X: $i] : ( mbox @ ( big_q @ X ) ) ) ) ) )
      @ ( mbox
        @ ( mimplies
          @ ( mand @ ( mbox @ p )
            @ ( mexists_di
              @ ^ [X: $i] : ( mbox @ ( big_q @ X ) ) ) )
          @ ( mexists_di
            @ ^ [X: $i] : ( mand @ ( mbox @ p ) @ ( mbox @ ( big_q @ X ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X18: mworld] :
        ( ( mrel @ mactual @ X18 )
       => ( ( ! [X20: mworld] :
                ( ( mrel @ X18 @ X20 )
               => ( p @ X20 ) )
            & ? [X22: $i] :
                ( ! [X24: mworld] :
                    ( ( mrel @ X18 @ X24 )
                   => ( big_q @ X22 @ X24 ) )
                & ( eiw_di @ X22 @ X18 ) ) )
         => ? [X26: $i] :
              ( ! [X28: mworld] :
                  ( ( mrel @ X18 @ X28 )
                 => ( p @ X28 ) )
              & ! [X30: mworld] :
                  ( ( mrel @ X18 @ X30 )
                 => ( big_q @ X26 @ X30 ) )
              & ( eiw_di @ X26 @ X18 ) ) ) )
    & ! [X4: mworld] :
        ( ( mrel @ mactual @ X4 )
       => ( ? [X6: $i] :
              ( ! [X8: mworld] :
                  ( ( mrel @ X4 @ X8 )
                 => ( p @ X8 ) )
              & ! [X10: mworld] :
                  ( ( mrel @ X4 @ X10 )
                 => ( big_q @ X6 @ X10 ) )
              & ( eiw_di @ X6 @ X4 ) )
         => ( ! [X12: mworld] :
                ( ( mrel @ X4 @ X12 )
               => ( p @ X12 ) )
            & ? [X14: $i] :
                ( ! [X16: mworld] :
                    ( ( mrel @ X4 @ X16 )
                   => ( big_q @ X14 @ X16 ) )
                & ( eiw_di @ X14 @ X4 ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X18: mworld] :
          ( ( mrel @ mactual @ X18 )
         => ( ( ! [X20: mworld] :
                  ( ( mrel @ X18 @ X20 )
                 => ( p @ X20 ) )
              & ? [X22: $i] :
                  ( ! [X24: mworld] :
                      ( ( mrel @ X18 @ X24 )
                     => ( big_q @ X22 @ X24 ) )
                  & ( eiw_di @ X22 @ X18 ) ) )
           => ? [X26: $i] :
                ( ! [X28: mworld] :
                    ( ( mrel @ X18 @ X28 )
                   => ( p @ X28 ) )
                & ! [X30: mworld] :
                    ( ( mrel @ X18 @ X30 )
                   => ( big_q @ X26 @ X30 ) )
                & ( eiw_di @ X26 @ X18 ) ) ) )
      & ! [X4: mworld] :
          ( ( mrel @ mactual @ X4 )
         => ( ? [X6: $i] :
                ( ! [X8: mworld] :
                    ( ( mrel @ X4 @ X8 )
                   => ( p @ X8 ) )
                & ! [X10: mworld] :
                    ( ( mrel @ X4 @ X10 )
                   => ( big_q @ X6 @ X10 ) )
                & ( eiw_di @ X6 @ X4 ) )
           => ( ! [X12: mworld] :
                  ( ( mrel @ X4 @ X12 )
                 => ( p @ X12 ) )
              & ? [X14: $i] :
                  ( ! [X16: mworld] :
                      ( ( mrel @ X4 @ X16 )
                     => ( big_q @ X14 @ X16 ) )
                  & ( eiw_di @ X14 @ X4 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ! [X1: mworld,X4: mworld] :
      ( ~ ( mrel @ sk__5 @ X4 )
      | ( big_q @ sk__6 @ X4 )
      | ( big_q @ sk__10 @ X1 )
      | ~ ( mrel @ sk__9 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(mrel_universal,axiom,
    ! [W: mworld,V: mworld] : ( mrel @ W @ V ) ).

thf(zip_derived_cl0,plain,
    ! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl181,plain,
    ! [X1: mworld,X4: mworld] :
      ( ( big_q @ sk__6 @ X4 )
      | ( big_q @ sk__10 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl24,plain,
    ! [X3: $i,X4: mworld] :
      ( ~ ( mrel @ sk__5 @ X4 )
      | ( big_q @ sk__6 @ X4 )
      | ~ ( p @ sk__11 )
      | ~ ( eiw_di @ X3 @ sk__9 )
      | ~ ( big_q @ X3 @ ( sk__12 @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl5,plain,
    ! [X0: mworld,X2: mworld] :
      ( ~ ( mrel @ sk__5 @ X0 )
      | ( p @ X0 )
      | ( p @ X2 )
      | ~ ( mrel @ sk__9 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl77,plain,
    ! [X0: mworld,X2: mworld] :
      ( ( p @ X0 )
      | ( p @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl78,plain,
    ! [X0: mworld] : ( p @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl164,plain,
    ! [X3: $i,X4: mworld] :
      ( ( big_q @ sk__6 @ X4 )
      | ~ ( eiw_di @ X3 @ sk__9 )
      | ~ ( big_q @ X3 @ ( sk__12 @ X3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl0,zip_derived_cl78]) ).

thf(zip_derived_cl182,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( big_q @ sk__6 @ X1 )
      | ~ ( eiw_di @ sk__10 @ sk__9 )
      | ( big_q @ sk__6 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl164]) ).

thf(zip_derived_cl19,plain,
    ! [X4: mworld] :
      ( ~ ( mrel @ sk__5 @ X4 )
      | ( big_q @ sk__6 @ X4 )
      | ( eiw_di @ sk__10 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl105,plain,
    ! [X4: mworld] :
      ( ( big_q @ sk__6 @ X4 )
      | ( eiw_di @ sk__10 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).

thf(zip_derived_cl43,plain,
    ! [X5: $i] :
      ( ~ ( big_q @ X5 @ ( sk__8 @ X5 ) )
      | ~ ( eiw_di @ X5 @ sk__5 )
      | ~ ( p @ sk__7 )
      | ( eiw_di @ sk__10 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl78_006,plain,
    ! [X0: mworld] : ( p @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl147,plain,
    ! [X5: $i] :
      ( ~ ( big_q @ X5 @ ( sk__8 @ X5 ) )
      | ~ ( eiw_di @ X5 @ sk__5 )
      | ( eiw_di @ sk__10 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl78]) ).

thf(zip_derived_cl148,plain,
    ( ( eiw_di @ sk__10 @ sk__9 )
    | ( eiw_di @ sk__10 @ sk__9 )
    | ~ ( eiw_di @ sk__6 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl147]) ).

thf(zip_derived_cl12,plain,
    ! [X1: mworld] :
      ( ( eiw_di @ sk__6 @ sk__5 )
      | ( big_q @ sk__10 @ X1 )
      | ~ ( mrel @ sk__9 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0_007,plain,
    ! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl104,plain,
    ! [X1: mworld] :
      ( ( eiw_di @ sk__6 @ sk__5 )
      | ( big_q @ sk__10 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl0]) ).

thf(zip_derived_cl16,plain,
    ! [X3: $i] :
      ( ( eiw_di @ sk__6 @ sk__5 )
      | ~ ( p @ sk__11 )
      | ~ ( eiw_di @ X3 @ sk__9 )
      | ~ ( big_q @ X3 @ ( sk__12 @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl78_008,plain,
    ! [X0: mworld] : ( p @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl108,plain,
    ! [X3: $i] :
      ( ( eiw_di @ sk__6 @ sk__5 )
      | ~ ( eiw_di @ X3 @ sk__9 )
      | ~ ( big_q @ X3 @ ( sk__12 @ X3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl78]) ).

thf(zip_derived_cl109,plain,
    ( ( eiw_di @ sk__6 @ sk__5 )
    | ~ ( eiw_di @ sk__10 @ sk__9 )
    | ( eiw_di @ sk__6 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl108]) ).

thf(zip_derived_cl113,plain,
    ( ~ ( eiw_di @ sk__10 @ sk__9 )
    | ( eiw_di @ sk__6 @ sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl109]) ).

thf(zip_derived_cl11,plain,
    ( ( eiw_di @ sk__6 @ sk__5 )
    | ( eiw_di @ sk__10 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(eiw_di_cumul,axiom,
    ! [W: mworld,V: mworld,X: $i] :
      ( ( ( eiw_di @ X @ W )
        & ( mrel @ W @ V ) )
     => ( eiw_di @ X @ V ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: mworld,X1: mworld,X2: $i] :
      ( ~ ( mrel @ X0 @ X1 )
      | ~ ( eiw_di @ X2 @ X0 )
      | ( eiw_di @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[eiw_di_cumul]) ).

thf(zip_derived_cl0_009,plain,
    ! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl79,plain,
    ! [X0: mworld,X1: mworld,X2: $i] :
      ( ~ ( eiw_di @ X2 @ X0 )
      | ( eiw_di @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl80,plain,
    ! [X0: mworld] :
      ( ( eiw_di @ sk__6 @ sk__5 )
      | ( eiw_di @ sk__10 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl79]) ).

thf(zip_derived_cl79_010,plain,
    ! [X0: mworld,X1: mworld,X2: $i] :
      ( ~ ( eiw_di @ X2 @ X0 )
      | ( eiw_di @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl97,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( eiw_di @ sk__10 @ X1 )
      | ( eiw_di @ sk__6 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl79]) ).

thf(zip_derived_cl115,plain,
    eiw_di @ sk__6 @ sk__5,
    inference(clc,[status(thm)],[zip_derived_cl113,zip_derived_cl97]) ).

thf(zip_derived_cl79_011,plain,
    ! [X0: mworld,X1: mworld,X2: $i] :
      ( ~ ( eiw_di @ X2 @ X0 )
      | ( eiw_di @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl116,plain,
    ! [X0: mworld] : ( eiw_di @ sk__6 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl79]) ).

thf(zip_derived_cl150,plain,
    ( ( eiw_di @ sk__10 @ sk__9 )
    | ( eiw_di @ sk__10 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl116]) ).

thf(zip_derived_cl151,plain,
    eiw_di @ sk__10 @ sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl150]) ).

thf(zip_derived_cl79_012,plain,
    ! [X0: mworld,X1: mworld,X2: $i] :
      ( ~ ( eiw_di @ X2 @ X0 )
      | ( eiw_di @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl154,plain,
    ! [X0: mworld] : ( eiw_di @ sk__10 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl79]) ).

thf(zip_derived_cl194,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( big_q @ sk__6 @ X1 )
      | ( big_q @ sk__6 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl182,zip_derived_cl154]) ).

thf(zip_derived_cl206,plain,
    ! [X0: mworld] : ( big_q @ sk__6 @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl194]) ).

thf(zip_derived_cl44,plain,
    ! [X1: mworld,X5: $i] :
      ( ~ ( big_q @ X5 @ ( sk__8 @ X5 ) )
      | ~ ( eiw_di @ X5 @ sk__5 )
      | ~ ( p @ sk__7 )
      | ( big_q @ sk__10 @ X1 )
      | ~ ( mrel @ sk__9 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl78_013,plain,
    ! [X0: mworld] : ( p @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl0_014,plain,
    ! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
    inference(cnf,[status(esa)],[mrel_universal]) ).

thf(zip_derived_cl168,plain,
    ! [X1: mworld,X5: $i] :
      ( ~ ( big_q @ X5 @ ( sk__8 @ X5 ) )
      | ~ ( eiw_di @ X5 @ sk__5 )
      | ( big_q @ sk__10 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl78,zip_derived_cl0]) ).

thf(zip_derived_cl208,plain,
    ! [X0: mworld] :
      ( ( big_q @ sk__10 @ X0 )
      | ~ ( eiw_di @ sk__6 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl168]) ).

thf(zip_derived_cl116_015,plain,
    ! [X0: mworld] : ( eiw_di @ sk__6 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl79]) ).

thf(zip_derived_cl212,plain,
    ! [X0: mworld] : ( big_q @ sk__10 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl116]) ).

thf(zip_derived_cl206_016,plain,
    ! [X0: mworld] : ( big_q @ sk__6 @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl194]) ).

thf(zip_derived_cl48,plain,
    ! [X3: $i,X5: $i] :
      ( ~ ( big_q @ X5 @ ( sk__8 @ X5 ) )
      | ~ ( eiw_di @ X5 @ sk__5 )
      | ~ ( p @ sk__7 )
      | ~ ( p @ sk__11 )
      | ~ ( eiw_di @ X3 @ sk__9 )
      | ~ ( big_q @ X3 @ ( sk__12 @ X3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl78_017,plain,
    ! [X0: mworld] : ( p @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl78_018,plain,
    ! [X0: mworld] : ( p @ X0 ),
    inference(condensation,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl172,plain,
    ! [X3: $i,X5: $i] :
      ( ~ ( big_q @ X5 @ ( sk__8 @ X5 ) )
      | ~ ( eiw_di @ X5 @ sk__5 )
      | ~ ( eiw_di @ X3 @ sk__9 )
      | ~ ( big_q @ X3 @ ( sk__12 @ X3 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl78,zip_derived_cl78]) ).

thf(zip_derived_cl207,plain,
    ! [X0: $i] :
      ( ~ ( big_q @ X0 @ ( sk__12 @ X0 ) )
      | ~ ( eiw_di @ X0 @ sk__9 )
      | ~ ( eiw_di @ sk__6 @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl172]) ).

thf(zip_derived_cl116_019,plain,
    ! [X0: mworld] : ( eiw_di @ sk__6 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl79]) ).

thf(zip_derived_cl211,plain,
    ! [X0: $i] :
      ( ~ ( big_q @ X0 @ ( sk__12 @ X0 ) )
      | ~ ( eiw_di @ X0 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl116]) ).

thf(zip_derived_cl219,plain,
    ~ ( eiw_di @ sk__10 @ sk__9 ),
    inference('sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl211]) ).

thf(zip_derived_cl154_020,plain,
    ! [X0: mworld] : ( eiw_di @ sk__10 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl79]) ).

thf(zip_derived_cl223,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl154]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL956^18 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.b9vpM7nx6b true
% 0.13/0.35  % Computer : n014.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 : Thu Aug 24 23:41:33 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
% 0.20/0.68  % Total configuration time : 828
% 0.20/0.68  % Estimated wc time : 1656
% 0.20/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76  % Solved by lams/40_c.s.sh.
% 0.20/0.76  % done 60 iterations in 0.033s
% 0.20/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.76  % SZS output start Refutation
% See solution above
% 0.20/0.76  
% 0.20/0.76  
% 0.20/0.76  % Terminating...
% 1.46/0.86  % Runner terminated.
% 1.64/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------