TSTP Solution File: SYO538^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO538^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OMdAo51lF1 true

% Computer : n001.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 05:51:59 EDT 2023

% Result   : Theorem 0.21s 0.80s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   27 (   8 unt;   4 typ;   0 def)
%            Number of atoms       :   72 (  63 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :   96 (  22   ~;  20   |;  15   &;  38   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   4 con; 0-3 aty)
%            Number of variables   :   48 (  32   ^;  15   !;   1   ?;  48   :)

% Comments : 
%------------------------------------------------------------------------------
thf(eps_type,type,
    eps: ( $i > $o ) > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(if_type,type,
    if: $o > $i > $i > $i ).

thf(sk__type,type,
    sk_: $i ).

thf(ifd,axiom,
    ( if
    = ( ^ [B: $o,X: $i,Y: $i] :
          ( eps
          @ ^ [Z: $i] :
              ( ( B
                & ( Z = X ) )
              | ( ~ B
                & ( Z = Y ) ) ) ) ) ) ).

thf('0',plain,
    ( if
    = ( ^ [B: $o,X: $i,Y: $i] :
          ( eps
          @ ^ [Z: $i] :
              ( ( B
                & ( Z = X ) )
              | ( ~ B
                & ( Z = Y ) ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[ifd]) ).

thf('1',plain,
    ( if
    = ( ^ [V_1: $o,V_2: $i,V_3: $i] :
          ( eps
          @ ^ [V_4: $i] :
              ( ( V_1
                & ( V_4 = V_2 ) )
              | ( ~ V_1
                & ( V_4 = V_3 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(conj,conjecture,
    ! [X: $i,Y: $i] :
      ( ( ( if @ $false @ X @ Y )
        = Y )
      & ( ( if @ $true @ X @ Y )
        = X ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i,X6: $i] :
      ( ( ( eps
          @ ^ [V_1: $i] :
              ( ( V_1 = X6 )
              | ( ( V_1 = X4 )
                & $false ) ) )
        = X6 )
      & ( ( eps
          @ ^ [V_2: $i] :
              ( ( ( V_2 = X6 )
                & $false )
              | ( V_2 = X4 ) ) )
        = X4 ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i,X6: $i] :
        ( ( ( eps
            @ ^ [V_1: $i] :
                ( ( V_1 = X6 )
                | ( ( V_1 = X4 )
                  & $false ) ) )
          = X6 )
        & ( ( eps
            @ ^ [V_2: $i] :
                ( ( ( V_2 = X6 )
                  & $false )
                | ( V_2 = X4 ) ) )
          = X4 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( ( ( eps
        @ ^ [Y0: $i] :
            ( ( Y0 = sk__1 )
            | ( ( Y0 = sk_ )
              & $false ) ) )
     != sk__1 )
    | ( ( eps
        @ ^ [Y0: $i] :
            ( ( ( Y0 = sk__1 )
              & $false )
            | ( Y0 = sk_ ) ) )
     != sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ( ( ( eps
        @ ^ [Y0: $i] : ( Y0 = sk__1 ) )
     != sk__1 )
    | ( ( eps
        @ ^ [Y0: $i] : ( Y0 = sk_ ) )
     != sk_ ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1]) ).

thf(choiceax,axiom,
    ! [P: $i > $o] :
      ( ? [X: $i] : ( P @ X )
     => ( P @ ( eps @ P ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( X0 @ ( eps @ X0 ) )
      | ~ ( X0 @ X1 ) ),
    inference(cnf,[status(esa)],[choiceax]) ).

thf(zip_derived_cl2_001,plain,
    ( ( ( eps
        @ ^ [Y0: $i] : ( Y0 = sk__1 ) )
     != sk__1 )
    | ( ( eps
        @ ^ [Y0: $i] : ( Y0 = sk_ ) )
     != sk_ ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X4: $i] :
      ( ( X4 != sk_ )
      | ( ( eps
          @ ^ [Y0: $i] : ( Y0 = sk_ ) )
        = sk_ ) ),
    inference('inst_choice(((^[Y0 : $i]: (((Y0) = (sk_))))))',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ! [X4: $i] :
      ( ( X4 != sk_ )
      | ( ( eps
          @ ^ [Y0: $i] : ( Y0 = sk_ ) )
        = sk_ ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl9,plain,
    ( ( eps
      @ ^ [Y0: $i] : ( Y0 = sk_ ) )
    = sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ( ( ( eps
        @ ^ [Y0: $i] : ( Y0 = sk__1 ) )
     != sk__1 )
    | ( sk_ != sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl9]) ).

thf(zip_derived_cl14,plain,
    ( ( eps
      @ ^ [Y0: $i] : ( Y0 = sk__1 ) )
   != sk__1 ),
    inference(simplify,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( X0 @ ( eps @ X0 ) )
      | ~ ( X0 @ X1 ) ),
    inference(cnf,[status(esa)],[choiceax]) ).

thf(zip_derived_cl2_003,plain,
    ( ( ( eps
        @ ^ [Y0: $i] : ( Y0 = sk__1 ) )
     != sk__1 )
    | ( ( eps
        @ ^ [Y0: $i] : ( Y0 = sk_ ) )
     != sk_ ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i] :
      ( ( X2 != sk__1 )
      | ( ( eps
          @ ^ [Y0: $i] : ( Y0 = sk__1 ) )
        = sk__1 ) ),
    inference('inst_choice(((^[Y0 : $i]: (((Y0) = (sk__1))))))',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] :
      ( ( X2 != sk__1 )
      | ( ( eps
          @ ^ [Y0: $i] : ( Y0 = sk__1 ) )
        = sk__1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl12,plain,
    ( ( eps
      @ ^ [Y0: $i] : ( Y0 = sk__1 ) )
    = sk__1 ),
    inference(simplify,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl27,plain,
    sk__1 != sk__1,
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).

thf(zip_derived_cl28,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl27]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO538^1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OMdAo51lF1 true
% 0.12/0.34  % Computer : n001.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 08:39:45 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % 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
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.80  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.80  % Solved by lams/40_c.s.sh.
% 0.21/0.80  % done 6 iterations in 0.010s
% 0.21/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.80  % SZS output start Refutation
% See solution above
% 0.21/0.81  
% 0.21/0.81  
% 0.21/0.81  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.81  % Terminating...
% 1.14/0.88  % Runner terminated.
% 1.14/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------