TSTP Solution File: SYO049^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO049^1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uDn62xDNhC true

% Computer : n029.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 : Fri Sep  1 05:49:24 EDT 2023

% Result   : Theorem 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  113 (  49 unt;  16 typ;   0 def)
%            Number of atoms       :  249 (  27 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  583 ( 111   ~; 115   |;   0   &; 357   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  118 ( 118   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   5 con; 0-3 aty)
%            Number of variables   :  105 (  59   ^;  46   !;   0   ?; 105   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__3_type,type,
    sk__3: $i > $i > $o ).

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

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

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

thf(mnot_type,type,
    mnot: ( $i > $o ) > $i > $o ).

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

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

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

thf(mdia_type,type,
    mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(sk__7_type,type,
    sk__7: $i ).

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

thf(mequiv_type,type,
    mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(sk__5_type,type,
    sk__5: $i > $o ).

thf(mor_type,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(mforall_prop_type,type,
    mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).

thf(mvalid_type,type,
    mvalid: ( $i > $o ) > $o ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ) ).

thf('0',plain,
    ( mvalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mvalid]) ).

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

thf(mdia,axiom,
    ( mdia
    = ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).

thf(mbox,axiom,
    ( mbox
    = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
        ! [V: $i] :
          ( ( Phi @ V )
          | ~ ( R @ W @ V ) ) ) ) ).

thf('2',plain,
    ( mbox
    = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
        ! [V: $i] :
          ( ( Phi @ V )
          | ~ ( R @ W @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox]) ).

thf('3',plain,
    ( mbox
    = ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
        ! [X4: $i] :
          ( ( V_2 @ X4 )
          | ~ ( V_1 @ V_3 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [Phi: $i > $o,W: $i] :
          ~ ( Phi @ W ) ) ) ).

thf('4',plain,
    ( mnot
    = ( ^ [Phi: $i > $o,W: $i] :
          ~ ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

thf('5',plain,
    ( mnot
    = ( ^ [V_1: $i > $o,V_2: $i] :
          ~ ( V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf('6',plain,
    ( mdia
    = ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mdia,'3','5']) ).

thf('7',plain,
    ( mdia
    = ( ^ [V_1: $i > $i > $o,V_2: $i > $o] : ( mnot @ ( mbox @ V_1 @ ( mnot @ V_2 ) ) ) ) ),
    define([status(thm)]) ).

thf(mforall_prop,axiom,
    ( mforall_prop
    = ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
        ! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).

thf('8',plain,
    ( mforall_prop
    = ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
        ! [P: $i > $o] : ( Phi @ P @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mforall_prop]) ).

thf('9',plain,
    ( mforall_prop
    = ( ^ [V_1: ( $i > $o ) > $i > $o,V_2: $i] :
        ! [X4: $i > $o] : ( V_1 @ X4 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(mequiv,axiom,
    ( mequiv
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).

thf(mor,axiom,
    ( mor
    = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
          ( ( Phi @ W )
          | ( Psi @ W ) ) ) ) ).

thf('10',plain,
    ( mor
    = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
          ( ( Phi @ W )
          | ( Psi @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('11',plain,
    ( mor
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          | ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf('12',plain,
    ( mimplies
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies,'11','5']) ).

thf('13',plain,
    ( mimplies
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
    define([status(thm)]) ).

thf(mand,axiom,
    ( mand
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).

thf('14',plain,
    ( mand
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand,'11','5']) ).

thf('15',plain,
    ( mand
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
    define([status(thm)]) ).

thf('16',plain,
    ( mequiv
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mequiv,'13','15','11','5']) ).

thf('17',plain,
    ( mequiv
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mand @ ( mimplies @ V_1 @ V_2 ) @ ( mimplies @ V_2 @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(conj,conjecture,
    ! [R: $i > $i > $o] :
      ( mvalid
      @ ( mforall_prop
        @ ^ [A: $i > $o] :
            ( mforall_prop
            @ ^ [B: $i > $o] : ( mequiv @ ( mdia @ R @ ( mor @ A @ B ) ) @ ( mor @ ( mdia @ R @ A ) @ ( mdia @ R @ B ) ) ) ) ) ) ).

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

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

thf(zip_derived_cl8,plain,
    ( ( sk__6 @ sk__7 )
    | ( sk__5 @ sk__7 )
    | ( sk__5 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ( ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__5 @ sk__8 )
    | ( sk__6 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ( ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__5 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ( ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( sk__3 @ sk__4 @ sk__7 )
      | ~ ( sk__6 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl28,plain,
    ( ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 )
    | ~ ( sk__6 @ sk__9 )
    | ( sk__3 @ sk__4 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl35,plain,
    ( ~ ( sk__6 @ sk__9 )
    | ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl1,plain,
    ( ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__6 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl68,plain,
    ( ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 ) ),
    inference(clc,[status(thm)],[zip_derived_cl35,zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( sk__3 @ sk__4 @ sk__7 )
      | ~ ( sk__5 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl76,plain,
    ( ( sk__3 @ sk__4 @ sk__7 )
    | ~ ( sk__5 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl5]) ).

thf(zip_derived_cl87,plain,
    ( ~ ( sk__5 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl94,plain,
    ( ( sk__3 @ sk__4 @ sk__9 )
    | ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl87]) ).

thf(zip_derived_cl99,plain,
    ( ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl4_001,plain,
    ! [X0: $i] :
      ( ( sk__3 @ sk__4 @ sk__7 )
      | ~ ( sk__6 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl111,plain,
    ( ( sk__3 @ sk__4 @ sk__7 )
    | ~ ( sk__6 @ sk__9 )
    | ( sk__3 @ sk__4 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl4]) ).

thf(zip_derived_cl122,plain,
    ( ~ ( sk__6 @ sk__9 )
    | ( sk__3 @ sk__4 @ sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl111]) ).

thf(zip_derived_cl130,plain,
    ( ( sk__5 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl122]) ).

thf(zip_derived_cl137,plain,
    ( ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__5 @ sk__8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl130]) ).

thf(zip_derived_cl87_002,plain,
    ( ~ ( sk__5 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl149,plain,
    sk__3 @ sk__4 @ sk__7,
    inference(clc,[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X2: $i] :
      ( ~ ( sk__3 @ sk__4 @ X2 )
      | ~ ( sk__6 @ X2 )
      | ~ ( sk__6 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ~ ( sk__6 @ X0 )
      | ~ ( sk__6 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl22]) ).

thf(zip_derived_cl166,plain,
    ( ~ ( sk__6 @ sk__7 )
    | ~ ( sk__3 @ sk__4 @ sk__7 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl150]) ).

thf(zip_derived_cl149_003,plain,
    sk__3 @ sk__4 @ sk__7,
    inference(clc,[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).

thf(zip_derived_cl168,plain,
    ~ ( sk__6 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl149]) ).

thf(zip_derived_cl172,plain,
    ( ( sk__5 @ sk__7 )
    | ( sk__5 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl168]) ).

thf(zip_derived_cl149_004,plain,
    sk__3 @ sk__4 @ sk__7,
    inference(clc,[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( sk__3 @ sk__4 @ X1 )
      | ~ ( sk__5 @ X1 )
      | ~ ( sk__5 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl152,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ~ ( sk__5 @ X0 )
      | ~ ( sk__5 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl17]) ).

thf(zip_derived_cl178,plain,
    ( ~ ( sk__5 @ sk__7 )
    | ~ ( sk__3 @ sk__4 @ sk__7 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl152]) ).

thf(zip_derived_cl149_005,plain,
    sk__3 @ sk__4 @ sk__7,
    inference(clc,[status(thm)],[zip_derived_cl137,zip_derived_cl87]) ).

thf(zip_derived_cl180,plain,
    ~ ( sk__5 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl149]) ).

thf(zip_derived_cl201,plain,
    ( ( sk__5 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl180]) ).

thf(zip_derived_cl6,plain,
    ( ( sk__6 @ sk__7 )
    | ( sk__5 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl168_006,plain,
    ~ ( sk__6 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl149]) ).

thf(zip_derived_cl170,plain,
    ( ( sk__5 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl168]) ).

thf(zip_derived_cl180_007,plain,
    ~ ( sk__5 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl149]) ).

thf(zip_derived_cl202,plain,
    ( ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl170,zip_derived_cl180]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( sk__6 @ sk__7 )
      | ( sk__5 @ sk__7 )
      | ~ ( sk__6 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl180_008,plain,
    ~ ( sk__5 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl149]) ).

thf(zip_derived_cl182,plain,
    ! [X0: $i] :
      ( ( sk__6 @ sk__7 )
      | ~ ( sk__6 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl180]) ).

thf(zip_derived_cl168_009,plain,
    ~ ( sk__6 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl149]) ).

thf(zip_derived_cl198,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ~ ( sk__6 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl182,zip_derived_cl168]) ).

thf(zip_derived_cl204,plain,
    ( ( sk__3 @ sk__4 @ sk__8 )
    | ~ ( sk__6 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl198]) ).

thf(zip_derived_cl7,plain,
    ( ( sk__6 @ sk__7 )
    | ( sk__5 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__6 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl168_010,plain,
    ~ ( sk__6 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl149]) ).

thf(zip_derived_cl171,plain,
    ( ( sk__5 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__6 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl168]) ).

thf(zip_derived_cl180_011,plain,
    ~ ( sk__5 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl149]) ).

thf(zip_derived_cl184,plain,
    ( ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__6 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl180]) ).

thf(zip_derived_cl207,plain,
    sk__3 @ sk__4 @ sk__8,
    inference(clc,[status(thm)],[zip_derived_cl204,zip_derived_cl184]) ).

thf(zip_derived_cl17_012,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( sk__3 @ sk__4 @ X1 )
      | ~ ( sk__5 @ X1 )
      | ~ ( sk__5 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl208,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ~ ( sk__5 @ X0 )
      | ~ ( sk__5 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl17]) ).

thf(zip_derived_cl213,plain,
    ( ~ ( sk__5 @ sk__8 )
    | ~ ( sk__3 @ sk__4 @ sk__8 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl208]) ).

thf(zip_derived_cl207_013,plain,
    sk__3 @ sk__4 @ sk__8,
    inference(clc,[status(thm)],[zip_derived_cl204,zip_derived_cl184]) ).

thf(zip_derived_cl216,plain,
    ~ ( sk__5 @ sk__8 ),
    inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl207]) ).

thf(zip_derived_cl219,plain,
    sk__3 @ sk__4 @ sk__9,
    inference('sup-',[status(thm)],[zip_derived_cl201,zip_derived_cl216]) ).

thf(zip_derived_cl198_014,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ~ ( sk__6 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl182,zip_derived_cl168]) ).

thf(zip_derived_cl222,plain,
    ~ ( sk__6 @ sk__9 ),
    inference('sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl198]) ).

thf(zip_derived_cl9,plain,
    ( ( sk__6 @ sk__7 )
    | ( sk__5 @ sk__7 )
    | ( sk__5 @ sk__8 )
    | ( sk__6 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl168_015,plain,
    ~ ( sk__6 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl149]) ).

thf(zip_derived_cl173,plain,
    ( ( sk__5 @ sk__7 )
    | ( sk__5 @ sk__8 )
    | ( sk__6 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl168]) ).

thf(zip_derived_cl180_016,plain,
    ~ ( sk__5 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl178,zip_derived_cl149]) ).

thf(zip_derived_cl185,plain,
    ( ( sk__5 @ sk__8 )
    | ( sk__6 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl180]) ).

thf(zip_derived_cl216_017,plain,
    ~ ( sk__5 @ sk__8 ),
    inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl207]) ).

thf(zip_derived_cl218,plain,
    sk__6 @ sk__9,
    inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl216]) ).

thf(zip_derived_cl225,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl218]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO049^1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uDn62xDNhC true
% 0.17/0.35  % Computer : n029.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Sat Aug 26 01:19:55 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.36  % Running in HO mode
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77  % Solved by lams/40_c.s.sh.
% 0.21/0.77  % done 64 iterations in 0.047s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% See solution above
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.21/0.77  % Terminating...
% 1.76/0.85  % Runner terminated.
% 1.76/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------