TSTP Solution File: SYO091^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO091^5 : 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.Nk1vGnJIey 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 05:49:42 EDT 2023

% Result   : Theorem 1.22s 0.74s
% Output   : Refutation 1.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   32 (   8 unt;   3 typ;   0 def)
%            Number of atoms       :  145 (  22 equ;   2 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  125 (  23   ~;  20   |;   0   &;   8   @)
%                                         (  68 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   3 usr;   7 con; 0-2 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   12 (   6   ^;   6   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk1_type',type,
    '#sk1': $o ).

thf('#sk3_type',type,
    '#sk3': $o ).

thf('#sk2_type',type,
    '#sk2': $o ).

thf(cTHM50Q,conjecture,
    ! [P: $o,Q: $o,R: $o] :
      ( ( ( P
        <=> Q )
      <=> R )
    <=> ( P
      <=> ( Q
        <=> R ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [P: $o,Q: $o,R: $o] :
        ( ( ( P
          <=> Q )
        <=> R )
      <=> ( P
        <=> ( Q
          <=> R ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM50Q]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $o] :
          ( !!
          @ ^ [Y1: $o] :
              ( !!
              @ ^ [Y2: $o] :
                  ( ( ( Y0
                    <=> Y1 )
                  <=> Y2 )
                <=> ( Y0
                  <=> ( Y1
                    <=> Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: $o] :
          ( !!
          @ ^ [Y1: $o] :
              ( ( ( '#sk1'
                <=> Y0 )
              <=> Y1 )
            <=> ( '#sk1'
              <=> ( Y0
                <=> Y1 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $o] :
          ( ( ( '#sk1'
            <=> '#sk2' )
          <=> Y0 )
        <=> ( '#sk1'
          <=> ( '#sk2'
            <=> Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( ( ( '#sk1'
        <=> '#sk2' )
      <=> '#sk3' )
    <=> ( '#sk1'
      <=> ( '#sk2'
        <=> '#sk3' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ( ( ( '#sk1'
      <=> '#sk2' )
    <=> '#sk3' )
   != ( '#sk1'
    <=> ( '#sk2'
      <=> '#sk3' ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl4_001,plain,
    ( ( ( '#sk1'
      <=> '#sk2' )
    <=> '#sk3' )
   != ( '#sk1'
    <=> ( '#sk2'
      <=> '#sk3' ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( ( '#sk1'
        <=> '#sk2' )
      <=> '#sk3' )
    | ~ ( '#sk1'
      <=> ( '#sk2'
        <=> '#sk3' ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    ( ( ( '#sk1'
      <=> '#sk2' )
     != '#sk3' )
    | ( '#sk1'
     != ( '#sk2'
      <=> '#sk3' ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    ( ( '#sk1'
    <=> '#sk2' )
    | '#sk3'
    | ( '#sk1'
     != ( '#sk2'
      <=> '#sk3' ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl19,plain,
    ( ( '#sk1'
    <=> '#sk2' )
    | '#sk3'
    | ( '#sk1'
     != ( '#sk2'
      <=> $false ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl20,plain,
    ( ( '#sk1' = '#sk2' )
    | '#sk3'
    | ( '#sk1'
     != ( '#sk2'
      <=> $false ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl21,plain,
    ( ( '#sk1' = '#sk2' )
    | '#sk3'
    | ( '#sk1'
     != ( (~) @ '#sk2' ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl22,plain,
    ( ( '#sk1' = '#sk2' )
    | '#sk3'
    | ( '#sk1' = '#sk2' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl23,plain,
    ( '#sk3'
    | ( '#sk1' = '#sk2' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl4_002,plain,
    ( ( ( '#sk1'
      <=> '#sk2' )
    <=> '#sk3' )
   != ( '#sk1'
    <=> ( '#sk2'
      <=> '#sk3' ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl54,plain,
    ( ( ( ( '#sk1'
        <=> '#sk1' )
      <=> '#sk3' )
     != ( '#sk1'
      <=> ( '#sk2'
        <=> '#sk3' ) ) )
    | '#sk3' ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl4]) ).

thf(zip_derived_cl66,plain,
    ( ( '#sk3'
     != ( '#sk1'
      <=> ( '#sk2'
        <=> '#sk3' ) ) )
    | '#sk3' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl67,plain,
    ( ( '#sk1'
    <=> ( '#sk2'
      <=> $false ) )
    | '#sk3' ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl68,plain,
    ( ( '#sk1'
      = ( '#sk2'
      <=> $false ) )
    | '#sk3' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl67]) ).

thf(zip_derived_cl69,plain,
    ( ( '#sk1'
      = ( (~) @ '#sk2' ) )
    | '#sk3' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl70,plain,
    ( ( '#sk1' != '#sk2' )
    | '#sk3' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl69]) ).

thf(zip_derived_cl23_003,plain,
    ( '#sk3'
    | ( '#sk1' = '#sk2' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl119,plain,
    '#sk3',
    inference(clc,[status(thm)],[zip_derived_cl70,zip_derived_cl23]) ).

thf(zip_derived_cl119_004,plain,
    '#sk3',
    inference(clc,[status(thm)],[zip_derived_cl70,zip_derived_cl23]) ).

thf(zip_derived_cl120,plain,
    ( ( ( '#sk1'
      <=> '#sk2' )
    <=> $true )
   != ( '#sk1'
    <=> ( '#sk2'
      <=> $true ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl119,zip_derived_cl119]) ).

thf(zip_derived_cl121,plain,
    ( ( '#sk1'
    <=> '#sk2' )
   != ( '#sk1'
    <=> '#sk2' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl120]) ).

thf(zip_derived_cl122,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl121]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYO091^5 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Nk1vGnJIey true
% 0.11/0.34  % Computer : n024.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Sat Aug 26 07:44:24 EDT 2023
% 0.11/0.34  % CPUTime  : 
% 0.11/0.34  % Running portfolio for 300 s
% 0.11/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34  % Number of cores: 8
% 0.11/0.34  % Python version: Python 3.6.8
% 0.11/0.35  % Running in HO mode
% 0.18/0.61  % Total configuration time : 828
% 0.18/0.61  % Estimated wc time : 1656
% 0.18/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.69  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.22/0.74  % Solved by lams/35_full_unif4.sh.
% 1.22/0.74  % done 9 iterations in 0.019s
% 1.22/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.22/0.74  % SZS output start Refutation
% See solution above
% 1.22/0.75  
% 1.22/0.75  
% 1.22/0.75  % Terminating...
% 1.38/0.80  % Runner terminated.
% 1.38/0.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------