TSTP Solution File: SYO299^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO299^5 : 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.h4yDCHmuse 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 05:50:37 EDT 2023

% Result   : Theorem 1.39s 0.78s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   27 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :   85 (   6 equ;   1 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  104 (  17   ~;   0   |;   0   &;  11   @)
%                                         (  54 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 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  !!;   4  ??;   0 @@+;   0 @@-)
%            Number of variables   :   21 (  10   ^;   9   !;   2   ?;  21   :)

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

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

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

thf(cTHM51,conjecture,
    ! [P: $o,Q: $o,R: $o] :
    ? [S: $o] :
      ( ( ( P
        <=> Q )
      <=> R )
     => ( P
      <=> ( Q
        <=> S ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [P: $o,Q: $o,R: $o] :
      ? [S: $o] :
        ( ( ( P
          <=> Q )
        <=> R )
       => ( P
        <=> ( Q
          <=> S ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM51]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $o] :
          ( !!
          @ ^ [Y1: $o] :
              ( !!
              @ ^ [Y2: $o] :
                  ( ??
                  @ ^ [Y3: $o] :
                      ( ( ( Y0
                        <=> Y1 )
                      <=> Y2 )
                     => ( Y0
                      <=> ( Y1
                        <=> Y3 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: $o] :
          ( !!
          @ ^ [Y1: $o] :
              ( ??
              @ ^ [Y2: $o] :
                  ( ( ( '#sk1'
                    <=> Y0 )
                  <=> Y1 )
                 => ( '#sk1'
                  <=> ( Y0
                    <=> Y2 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $o] :
          ( ??
          @ ^ [Y1: $o] :
              ( ( ( '#sk1'
                <=> '#sk2' )
              <=> Y0 )
             => ( '#sk1'
              <=> ( '#sk2'
                <=> Y1 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( ??
      @ ^ [Y0: $o] :
          ( ( ( '#sk1'
            <=> '#sk2' )
          <=> '#sk3' )
         => ( '#sk1'
          <=> ( '#sk2'
            <=> Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $o] :
      ~ ( ( ( '#sk1'
          <=> '#sk2' )
        <=> '#sk3' )
       => ( '#sk1'
        <=> ( '#sk2'
          <=> X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ~ ( ( ( '#sk1'
        <=> '#sk2' )
      <=> '#sk3' )
     => ( '#sk1'
      <=> ( '#sk2'
        <=> '#sk3' ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl45,plain,
    ~ ( '#sk1'
    <=> ( '#sk2'
      <=> '#sk3' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl47,plain,
    ( '#sk1'
   != ( '#sk2'
    <=> '#sk3' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl4_001,plain,
    ! [X2: $o] :
      ~ ( ( ( '#sk1'
          <=> '#sk2' )
        <=> '#sk3' )
       => ( '#sk1'
        <=> ( '#sk2'
          <=> X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

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

thf(zip_derived_cl66,plain,
    ~ ( ( ( '#sk1'
        <=> '#sk2' )
      <=> '#sk3' )
     => '#sk1' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl68,plain,
    ~ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl76,plain,
    ( '#sk2'
  <=> '#sk3' ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl68]) ).

thf(zip_derived_cl77,plain,
    '#sk2' = '#sk3',
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl4_002,plain,
    ! [X2: $o] :
      ~ ( ( ( '#sk1'
          <=> '#sk2' )
        <=> '#sk3' )
       => ( '#sk1'
        <=> ( '#sk2'
          <=> X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl8,plain,
    ( ( '#sk1'
    <=> '#sk2' )
  <=> '#sk3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    ( ( '#sk1'
    <=> '#sk2' )
    = '#sk3' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl68_003,plain,
    ~ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl70,plain,
    ( ( $false
    <=> '#sk2' )
    = '#sk3' ),
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl68]) ).

thf(zip_derived_cl71,plain,
    ( ( (~) @ '#sk2' )
    = '#sk3' ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl70]) ).

thf(zip_derived_cl72,plain,
    '#sk2' != '#sk3',
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl71]) ).

thf(zip_derived_cl84,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl77,zip_derived_cl72]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem  : SYO299^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.h4yDCHmuse true
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 01:11:54 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % Running in HO mode
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.93/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.93/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.93/0.76  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.39/0.78  % Solved by lams/35_full_unif4.sh.
% 1.39/0.78  % done 11 iterations in 0.018s
% 1.39/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.39/0.78  % SZS output start Refutation
% See solution above
% 1.39/0.78  
% 1.39/0.78  
% 1.39/0.78  % Terminating...
% 1.68/0.86  % Runner terminated.
% 1.68/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------