TSTP Solution File: SYO062^4.004 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO062^4.004 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Zc0zqCSPcH true

% Computer : n017.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 05:49:28 EDT 2023

% Result   : Theorem 89.53s 12.23s
% Output   : Refutation 89.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   43
% Syntax   : Number of formulae    :   94 (  30 unt;  21 typ;   0 def)
%            Number of atoms       :  241 (  27 equ;   0 cnn)
%            Maximal formula atoms :   23 (   3 avg)
%            Number of connectives :  581 (  79   ~;  73   |;   8   &; 395   @)
%                                         (   0 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   85 (  85   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;   2 con; 0-3 aty)
%            Number of variables   :  146 (  51   ^;  95   !;   0   ?; 146   :)

% Comments : 
%------------------------------------------------------------------------------
thf(iatom_type,type,
    iatom: ( $i > $o ) > $i > $o ).

thf(c_type,type,
    c: $i > $o ).

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

thf(ivalid_type,type,
    ivalid: ( $i > $o ) > $o ).

thf(b_type,type,
    b: $i > $o ).

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

thf(irel_type,type,
    irel: $i > $i > $o ).

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

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

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

thf(ior_type,type,
    ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(mbox_s4_type,type,
    mbox_s4: ( $i > $o ) > $i > $o ).

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

thf(a_type,type,
    a: $i > $o ).

thf(iand_type,type,
    iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

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

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

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

thf(inot_type,type,
    inot: ( $i > $o ) > $i > $o ).

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

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

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

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

thf(ior,axiom,
    ( ior
    = ( ^ [P: $i > $o,Q: $i > $o] : ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ) ).

thf(mbox_s4,axiom,
    ( mbox_s4
    = ( ^ [P: $i > $o,X: $i] :
        ! [Y: $i] :
          ( ( irel @ X @ Y )
         => ( P @ Y ) ) ) ) ).

thf('2',plain,
    ( mbox_s4
    = ( ^ [P: $i > $o,X: $i] :
        ! [Y: $i] :
          ( ( irel @ X @ Y )
         => ( P @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).

thf('3',plain,
    ( mbox_s4
    = ( ^ [V_1: $i > $o,V_2: $i] :
        ! [X4: $i] :
          ( ( irel @ V_2 @ X4 )
         => ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ) ).

thf('4',plain,
    ( mor
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('5',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('6',plain,
    ( ior
    = ( ^ [P: $i > $o,Q: $i > $o] : ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[ior,'3','5']) ).

thf('7',plain,
    ( ior
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(iand,axiom,
    ( iand
    = ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ) ).

thf(mand,axiom,
    ( mand
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ( Y @ U ) ) ) ) ).

thf('8',plain,
    ( mand
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          & ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand]) ).

thf('9',plain,
    ( mand
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          & ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf('10',plain,
    ( iand
    = ( ^ [P: $i > $o,Q: $i > $o] : ( mand @ P @ Q ) ) ),
    inference(simplify_rw_rule,[status(thm)],[iand,'9']) ).

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

thf(inot,axiom,
    ( inot
    = ( ^ [P: $i > $o] : ( mnot @ ( mbox_s4 @ P ) ) ) ) ).

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

thf('12',plain,
    ( mnot
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

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

thf('14',plain,
    ( inot
    = ( ^ [P: $i > $o] : ( mnot @ ( mbox_s4 @ P ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[inot,'3','13']) ).

thf('15',plain,
    ( inot
    = ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_s4 @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(iatom,axiom,
    ( iatom
    = ( ^ [P: $i > $o] : P ) ) ).

thf('16',plain,
    ( iatom
    = ( ^ [P: $i > $o] : P ) ),
    inference(simplify_rw_rule,[status(thm)],[iatom]) ).

thf('17',plain,
    ( iatom
    = ( ^ [V_1: $i > $o] : V_1 ) ),
    define([status(thm)]) ).

thf(con,conjecture,
    ivalid @ ( inot @ ( inot @ ( ior @ ( iand @ ( iatom @ a ) @ ( iand @ ( iatom @ b ) @ ( iatom @ c ) ) ) @ ( ior @ ( inot @ ( iatom @ a ) ) @ ( ior @ ( inot @ ( iatom @ b ) ) @ ( inot @ ( iatom @ c ) ) ) ) ) ) ) ).

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

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

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( irel @ X0 @ ( sk__6 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(trans_axiom,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( irel @ X @ Y )
        & ( irel @ Y @ Z ) )
     => ( irel @ X @ Z ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( irel @ X0 @ X1 )
      | ~ ( irel @ X1 @ X2 )
      | ( irel @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[trans_axiom]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ X0 @ X1 )
      | ~ ( irel @ ( sk__6 @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( irel @ ( sk__6 @ X0 ) @ ( sk__12 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i] :
      ( ( irel @ X0 @ ( sk__12 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl25,zip_derived_cl10]) ).

thf(zip_derived_cl159,plain,
    ! [X0: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ X0 @ ( sk__12 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl155]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X3: $i] :
      ( ~ ( irel @ ( sk__10 @ X0 ) @ X3 )
      | ( b @ X3 )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i] :
      ( ~ ( irel @ sk__5 @ ( sk__10 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 )
      | ( b @ ( sk__12 @ ( sk__10 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl8]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ~ ( c @ ( sk__12 @ X0 ) )
      | ~ ( b @ ( sk__12 @ X0 ) )
      | ~ ( a @ ( sk__12 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( irel @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( irel @ ( sk__7 @ X0 ) @ ( sk__8 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( irel @ X0 @ X1 )
      | ~ ( irel @ X1 @ X2 )
      | ( irel @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[trans_axiom]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ ( sk__7 @ X0 ) @ X1 )
      | ~ ( irel @ ( sk__8 @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).

thf(zip_derived_cl542,plain,
    ! [X0: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ ( sk__7 @ X0 ) @ ( sk__9 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl92]) ).

thf(zip_derived_cl572,plain,
    ! [X0: $i] :
      ( ( irel @ ( sk__7 @ X0 ) @ ( sk__9 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl542]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( irel @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl25_002,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ X0 @ X1 )
      | ~ ( irel @ ( sk__6 @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ X0 @ ( sk__7 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl25]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] :
      ( ( irel @ X0 @ ( sk__7 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl1_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( irel @ X0 @ X1 )
      | ~ ( irel @ X1 @ X2 )
      | ( irel @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[trans_axiom]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ X0 @ X1 )
      | ~ ( irel @ ( sk__7 @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl1]) ).

thf(refl_axiom,axiom,
    ! [X: $i] : ( irel @ X @ X ) ).

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

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ ( sk__11 @ X0 ) @ X1 )
      | ( a @ X1 )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X2: $i] :
      ( ~ ( irel @ ( sk__9 @ X0 ) @ X2 )
      | ( c @ X2 )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl159_004,plain,
    ! [X0: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ X0 @ ( sk__12 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl155]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( irel @ ( sk__7 @ X0 ) @ ( sk__11 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2_005,plain,
    ! [X0: $i] :
      ( ( irel @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( irel @ X0 @ X1 )
      | ~ ( irel @ X1 @ X2 )
      | ( irel @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[trans_axiom]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ ( sk__6 @ X0 ) @ X1 )
      | ~ ( irel @ ( sk__7 @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl473,plain,
    ! [X0: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ ( sk__6 @ X0 ) @ ( sk__11 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl24]) ).

thf(zip_derived_cl503,plain,
    ! [X0: $i] :
      ( ( irel @ ( sk__6 @ X0 ) @ ( sk__11 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl473]) ).

thf(zip_derived_cl1_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( irel @ X0 @ X1 )
      | ~ ( irel @ X1 @ X2 )
      | ( irel @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[trans_axiom]) ).

thf(zip_derived_cl24_008,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ ( sk__6 @ X0 ) @ X1 )
      | ~ ( irel @ ( sk__7 @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( irel @ ( sk__8 @ X0 ) @ ( sk__10 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl92_009,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ ( sk__7 @ X0 ) @ X1 )
      | ~ ( irel @ ( sk__8 @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl1]) ).

thf(zip_derived_cl541,plain,
    ! [X0: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ ( sk__7 @ X0 ) @ ( sk__10 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl92]) ).

thf(zip_derived_cl571,plain,
    ! [X0: $i] :
      ( ( irel @ ( sk__7 @ X0 ) @ ( sk__10 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl541]) ).

thf(zip_derived_cl615,plain,
    ! [X0: $i] :
      ( ( irel @ ( sk__6 @ X0 ) @ ( sk__10 @ X0 ) )
      | ~ ( irel @ sk__5 @ X0 )
      | ~ ( irel @ sk__5 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl571]) ).

thf(zip_derived_cl622,plain,
    ! [X0: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ ( sk__6 @ X0 ) @ ( sk__10 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl615]) ).

thf(zip_derived_cl25_010,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ sk__5 @ X0 )
      | ( irel @ X0 @ X1 )
      | ~ ( irel @ ( sk__6 @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1]) ).

thf(zip_derived_cl17371,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl165,zip_derived_cl11,zip_derived_cl572,zip_derived_cl63,zip_derived_cl0,zip_derived_cl3,zip_derived_cl6,zip_derived_cl159,zip_derived_cl503,zip_derived_cl1,zip_derived_cl622,zip_derived_cl25]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO062^4.004 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Zc0zqCSPcH true
% 0.14/0.35  % Computer : n017.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 06:39:40 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/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
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.84  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 89.53/12.23  % Solved by lams/40_c_ic.sh.
% 89.53/12.23  % done 756 iterations in 11.427s
% 89.53/12.23  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 89.53/12.23  % SZS output start Refutation
% See solution above
% 89.53/12.23  
% 89.53/12.23  
% 89.53/12.23  % Terminating...
% 89.53/12.32  % Runner terminated.
% 89.53/12.33  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------