TSTP Solution File: SYO048^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO048^1 : 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.Igw2csbTvF true

% Computer : n024.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 0.69s 0.80s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  112 (  43 unt;  15 typ;   0 def)
%            Number of atoms       :  251 (  24 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  629 ( 130   ~; 129   |;   0   &; 370   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  103 ( 103   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   5 con; 0-3 aty)
%            Number of variables   :  104 (  53   ^;  51   !;   0   ?; 104   :)

% 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__8_type,type,
    sk__8: $i ).

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__4_type,type,
    sk__4: $i ).

thf(sk__7_type,type,
    sk__7: $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(sk__9_type,type,
    sk__9: $i ).

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

thf('4',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('5',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('6',plain,
    ( mor
    = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
          ( ( Phi @ W )
          | ( Psi @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('7',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(mnot,axiom,
    ( mnot
    = ( ^ [Phi: $i > $o,W: $i] :
          ~ ( Phi @ W ) ) ) ).

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

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

thf('10',plain,
    ( mimplies
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies,'7','9']) ).

thf('11',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('12',plain,
    ( mand
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand,'7','9']) ).

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

thf('14',plain,
    ( mequiv
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mequiv,'11','13','7','9']) ).

thf('15',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 @ ( mbox @ R @ ( mand @ A @ B ) ) @ ( mand @ ( mbox @ R @ A ) @ ( mbox @ 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 ) ) ) )
        | ~ ( ~ ! [X20: $i] :
                  ( ( X10 @ X20 )
                  | ~ ( X4 @ X6 @ X20 ) )
            | ~ ! [X18: $i] :
                  ( ( X8 @ X18 )
                  | ~ ( X4 @ X6 @ X18 ) )
            | ! [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 ) ) ) )
          | ~ ( ~ ! [X20: $i] :
                    ( ( X10 @ X20 )
                    | ~ ( X4 @ X6 @ X20 ) )
              | ~ ! [X18: $i] :
                    ( ( X8 @ X18 )
                    | ~ ( X4 @ X6 @ X18 ) )
              | ! [X22: $i] :
                  ( ~ ( ~ ( X8 @ X22 )
                      | ~ ( X10 @ X22 ) )
                  | ~ ( X4 @ X6 @ X22 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    ( ~ ( sk__6 @ sk__8 )
    | ~ ( sk__5 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ( ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ( sk__6 @ X0 )
      | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl24,plain,
    ( ( sk__3 @ sk__4 @ sk__9 )
    | ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__9 )
    | ( sk__6 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl2]) ).

thf(zip_derived_cl26,plain,
    ( ( sk__6 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl14,plain,
    ( ~ ( sk__6 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl70,plain,
    ( ( sk__3 @ sk__4 @ sk__9 )
    | ( sk__3 @ sk__4 @ sk__7 ) ),
    inference(clc,[status(thm)],[zip_derived_cl26,zip_derived_cl14]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ( sk__5 @ X0 )
      | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl71,plain,
    ( ( sk__3 @ sk__4 @ sk__9 )
    | ( sk__3 @ sk__4 @ sk__9 )
    | ( sk__5 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl6]) ).

thf(zip_derived_cl79,plain,
    ( ( sk__5 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl18,plain,
    ( ( sk__3 @ sk__4 @ sk__8 )
    | ~ ( sk__5 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl83,plain,
    ( ( sk__3 @ sk__4 @ sk__9 )
    | ( sk__3 @ sk__4 @ sk__9 )
    | ( sk__3 @ sk__4 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl18]) ).

thf(zip_derived_cl85,plain,
    ( ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl83]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ( sk__6 @ X0 )
      | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl88,plain,
    ( ( sk__3 @ sk__4 @ sk__9 )
    | ( sk__3 @ sk__4 @ sk__9 )
    | ( sk__6 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl2]) ).

thf(zip_derived_cl96,plain,
    ( ( sk__6 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl103,plain,
    ( ( sk__3 @ sk__4 @ sk__9 )
    | ~ ( sk__5 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl96]) ).

thf(zip_derived_cl115,plain,
    ( ~ ( sk__5 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl79_002,plain,
    ( ( sk__5 @ sk__7 )
    | ( sk__3 @ sk__4 @ sk__9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl119,plain,
    sk__3 @ sk__4 @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl115,zip_derived_cl79]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X2: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ( sk__5 @ X0 )
      | ( sk__5 @ X2 )
      | ~ ( sk__3 @ sk__4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl176,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ( sk__5 @ X0 )
      | ( sk__5 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ( sk__5 @ X0 )
      | ~ ( sk__5 @ sk__9 )
      | ~ ( sk__6 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl119_003,plain,
    sk__3 @ sk__4 @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl115,zip_derived_cl79]) ).

thf(zip_derived_cl119_004,plain,
    sk__3 @ sk__4 @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl115,zip_derived_cl79]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ( sk__6 @ X0 )
      | ( sk__6 @ X1 )
      | ~ ( sk__3 @ sk__4 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ( sk__6 @ X0 )
      | ( sk__6 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl0]) ).

thf(zip_derived_cl140,plain,
    ( ( sk__6 @ sk__9 )
    | ( sk__6 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl121]) ).

thf(zip_derived_cl142,plain,
    sk__6 @ sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl140]) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ( sk__5 @ X0 )
      | ~ ( sk__5 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl142]) ).

thf(zip_derived_cl178,plain,
    ! [X0: $i] :
      ( ( sk__5 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl176,zip_derived_cl145]) ).

thf(zip_derived_cl11,plain,
    ( ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 )
    | ~ ( sk__5 @ sk__9 )
    | ~ ( sk__6 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl142_005,plain,
    sk__6 @ sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl140]) ).

thf(zip_derived_cl146,plain,
    ( ( sk__3 @ sk__4 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 )
    | ~ ( sk__5 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl142]) ).

thf(zip_derived_cl178_006,plain,
    ! [X0: $i] :
      ( ( sk__5 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl176,zip_derived_cl145]) ).

thf(zip_derived_cl178_007,plain,
    ! [X0: $i] :
      ( ( sk__5 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl176,zip_derived_cl145]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ( sk__6 @ X0 )
      | ~ ( sk__5 @ sk__9 )
      | ~ ( sk__6 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl23,plain,
    ( ~ ( sk__6 @ sk__8 )
    | ~ ( sk__5 @ sk__7 )
    | ~ ( sk__5 @ sk__9 )
    | ~ ( sk__6 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl32,plain,
    ( ~ ( sk__6 @ sk__9 )
    | ~ ( sk__5 @ sk__9 )
    | ~ ( sk__3 @ sk__4 @ sk__8 )
    | ~ ( sk__6 @ sk__9 )
    | ~ ( sk__5 @ sk__9 )
    | ~ ( sk__5 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl23]) ).

thf(zip_derived_cl47,plain,
    ( ~ ( sk__5 @ sk__7 )
    | ~ ( sk__3 @ sk__4 @ sk__8 )
    | ~ ( sk__5 @ sk__9 )
    | ~ ( sk__6 @ sk__9 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl19,plain,
    ( ( sk__3 @ sk__4 @ sk__8 )
    | ~ ( sk__5 @ sk__7 )
    | ~ ( sk__5 @ sk__9 )
    | ~ ( sk__6 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl52,plain,
    ( ~ ( sk__6 @ sk__9 )
    | ~ ( sk__5 @ sk__9 )
    | ~ ( sk__5 @ sk__7 ) ),
    inference(clc,[status(thm)],[zip_derived_cl47,zip_derived_cl19]) ).

thf(zip_derived_cl142_008,plain,
    sk__6 @ sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl140]) ).

thf(zip_derived_cl148,plain,
    ( ~ ( sk__5 @ sk__9 )
    | ~ ( sk__5 @ sk__7 ) ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl142]) ).

thf(zip_derived_cl179,plain,
    ( ~ ( sk__3 @ sk__4 @ sk__9 )
    | ~ ( sk__5 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl148]) ).

thf(zip_derived_cl119_009,plain,
    sk__3 @ sk__4 @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl115,zip_derived_cl79]) ).

thf(zip_derived_cl186,plain,
    ~ ( sk__5 @ sk__7 ),
    inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl119]) ).

thf(zip_derived_cl191,plain,
    ~ ( sk__3 @ sk__4 @ sk__7 ),
    inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl186]) ).

thf(zip_derived_cl218,plain,
    ( ( sk__3 @ sk__4 @ sk__8 )
    | ~ ( sk__5 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl191]) ).

thf(zip_derived_cl178_010,plain,
    ! [X0: $i] :
      ( ( sk__5 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl176,zip_derived_cl145]) ).

thf(zip_derived_cl3_011,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ( sk__6 @ X0 )
      | ~ ( sk__5 @ sk__9 )
      | ~ ( sk__6 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl142_012,plain,
    sk__6 @ sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl140]) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i] :
      ( ~ ( sk__3 @ sk__4 @ X0 )
      | ( sk__6 @ X0 )
      | ~ ( sk__5 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl142]) ).

thf(zip_derived_cl178_013,plain,
    ! [X0: $i] :
      ( ( sk__5 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl176,zip_derived_cl145]) ).

thf(zip_derived_cl181,plain,
    ! [X0: $i] :
      ( ( sk__6 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 )
      | ~ ( sk__3 @ sk__4 @ sk__9 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl144,zip_derived_cl178]) ).

thf(zip_derived_cl119_014,plain,
    sk__3 @ sk__4 @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl115,zip_derived_cl79]) ).

thf(zip_derived_cl185,plain,
    ! [X0: $i] :
      ( ( sk__6 @ X0 )
      | ~ ( sk__3 @ sk__4 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl181,zip_derived_cl119]) ).

thf(zip_derived_cl15,plain,
    ( ~ ( sk__6 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 )
    | ~ ( sk__5 @ sk__9 )
    | ~ ( sk__6 @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl142_015,plain,
    sk__6 @ sk__9,
    inference(simplify,[status(thm)],[zip_derived_cl140]) ).

thf(zip_derived_cl147,plain,
    ( ~ ( sk__6 @ sk__8 )
    | ( sk__3 @ sk__4 @ sk__7 )
    | ~ ( sk__5 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl142]) ).

thf(zip_derived_cl191_016,plain,
    ~ ( sk__3 @ sk__4 @ sk__7 ),
    inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl186]) ).

thf(zip_derived_cl193,plain,
    ( ~ ( sk__6 @ sk__8 )
    | ~ ( sk__5 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl191]) ).

thf(zip_derived_cl195,plain,
    ( ~ ( sk__3 @ sk__4 @ sk__8 )
    | ~ ( sk__5 @ sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl185,zip_derived_cl193]) ).

thf(zip_derived_cl197,plain,
    ( ~ ( sk__3 @ sk__4 @ sk__9 )
    | ~ ( sk__3 @ sk__4 @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl195]) ).

thf(zip_derived_cl119_017,plain,
    sk__3 @ sk__4 @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl115,zip_derived_cl79]) ).

thf(zip_derived_cl199,plain,
    ~ ( sk__3 @ sk__4 @ sk__8 ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl119]) ).

thf(zip_derived_cl219,plain,
    ~ ( sk__5 @ sk__9 ),
    inference(clc,[status(thm)],[zip_derived_cl218,zip_derived_cl199]) ).

thf(zip_derived_cl220,plain,
    ~ ( sk__3 @ sk__4 @ sk__9 ),
    inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl219]) ).

thf(zip_derived_cl119_018,plain,
    sk__3 @ sk__4 @ sk__9,
    inference(clc,[status(thm)],[zip_derived_cl115,zip_derived_cl79]) ).

thf(zip_derived_cl222,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl119]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO048^1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Igw2csbTvF true
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 00:26:09 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.21/0.68  % Total configuration time : 828
% 0.21/0.68  % Estimated wc time : 1656
% 0.21/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.69/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.69/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.69/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.69/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.69/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.69/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.69/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.69/0.80  % Solved by lams/40_c.s.sh.
% 0.69/0.80  % done 72 iterations in 0.050s
% 0.69/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.69/0.80  % SZS output start Refutation
% See solution above
% 0.69/0.80  
% 0.69/0.80  
% 0.69/0.80  % Terminating...
% 1.83/0.87  % Runner terminated.
% 1.83/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------