TSTP Solution File: ITP027^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP027^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fzGKjjjSdt true

% Computer : n020.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 : Thu Aug 31 05:21:42 EDT 2023

% Result   : Theorem 1.68s 1.00s
% Output   : Refutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   33 (   5 unt;  19 typ;   0 def)
%            Number of atoms       :   39 (  14 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  248 (  16   ~;  12   |;   6   &; 207   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :   64 (  64   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   2 con; 0-5 aty)
%            Number of variables   :   18 (   3   ^;  15   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_c_type,type,
    set_c: $tType ).

thf(set_c_d_c_d_c_d_type,type,
    set_c_d_c_d_c_d: $tType ).

thf(set_c_d_type,type,
    set_c_d: $tType ).

thf(set_c_d_c_d_type,type,
    set_c_d_c_d: $tType ).

thf(prod_m854557927_d_a_e_type,type,
    prod_m854557927_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > ( c > d ) > c > d ).

thf(pi_c_d_c_d_c_d_type,type,
    pi_c_d_c_d_c_d: set_c_d > ( ( c > d ) > set_c_d_c_d ) > set_c_d_c_d_c_d ).

thf(member_c_d_c_d_c_d_type,type,
    member_c_d_c_d_c_d: ( ( c > d ) > ( c > d ) > c > d ) > set_c_d_c_d_c_d > $o ).

thf(prod_p131511076_d_a_e_type,type,
    prod_p131511076_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > ( c > d ) > ( c > d ) > c > d ).

thf(d_type,type,
    d: $tType ).

thf(member_c_d_c_d_type,type,
    member_c_d_c_d: ( ( c > d ) > c > d ) > set_c_d_c_d > $o ).

thf(prod_z1214987823_d_a_e_type,type,
    prod_z1214987823_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > c > d ).

thf(member_c_d_type,type,
    member_c_d: ( c > d ) > set_c_d > $o ).

thf(carrie1948989069_d_a_e_type,type,
    carrie1948989069_d_a_e: $tType ).

thf(pi_c_d_c_d_type,type,
    pi_c_d_c_d: set_c_d > ( ( c > d ) > set_c_d ) > set_c_d_c_d ).

thf(carr_p1636662547_d_a_e_type,type,
    carr_p1636662547_d_a_e: set_c > ( c > carrie1948989069_d_a_e ) > set_c_d ).

thf(m_type,type,
    m: c > carrie1948989069_d_a_e ).

thf(i_type,type,
    i: set_c ).

thf(sk__15_type,type,
    sk__15: c > d ).

thf(c_type,type,
    c: $tType ).

thf(conj_1,axiom,
    ( ! [A3: c > d] :
        ( ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
       => ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ A3 )
          = A3 ) )
    & ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) )
    & ! [A3: c > d] :
        ( ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
       => ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_m854557927_d_a_e @ i @ m @ A3 ) @ A3 )
          = ( prod_z1214987823_d_a_e @ i @ m ) ) )
    & ( member_c_d_c_d @ ( prod_m854557927_d_a_e @ i @ m )
      @ ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
        @ ^ [Uu: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) )
    & ! [A3: c > d] :
        ( ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
       => ! [B3: c > d] :
            ( ( member_c_d @ B3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
           => ( ( prod_p131511076_d_a_e @ i @ m @ A3 @ B3 )
              = ( prod_p131511076_d_a_e @ i @ m @ B3 @ A3 ) ) ) )
    & ! [A3: c > d] :
        ( ( member_c_d @ A3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
       => ! [B3: c > d] :
            ( ( member_c_d @ B3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
           => ! [C3: c > d] :
                ( ( member_c_d @ C3 @ ( carr_p1636662547_d_a_e @ i @ m ) )
               => ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_p131511076_d_a_e @ i @ m @ A3 @ B3 ) @ C3 )
                  = ( prod_p131511076_d_a_e @ i @ m @ A3 @ ( prod_p131511076_d_a_e @ i @ m @ B3 @ C3 ) ) ) ) ) )
    & ( member_c_d_c_d_c_d @ ( prod_p131511076_d_a_e @ i @ m )
      @ ( pi_c_d_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
        @ ^ [Uu: c > d] :
            ( pi_c_d_c_d @ ( carr_p1636662547_d_a_e @ i @ m )
            @ ^ [Uv: c > d] : ( carr_p1636662547_d_a_e @ i @ m ) ) ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: c > d] :
      ( ( ( prod_p131511076_d_a_e @ i @ m @ ( prod_z1214987823_d_a_e @ i @ m ) @ X0 )
        = X0 )
      | ~ ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl37,plain,
    ! [X0: c > d,X1: c > d] :
      ( ~ ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
      | ( ( prod_p131511076_d_a_e @ i @ m @ X1 @ X0 )
        = ( prod_p131511076_d_a_e @ i @ m @ X0 @ X1 ) )
      | ~ ( member_c_d @ X1 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl107,plain,
    ! [X0: c > d] :
      ( ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
        = X0 )
      | ~ ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
      | ~ ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
      | ~ ( member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl37]) ).

thf(zip_derived_cl40,plain,
    member_c_d @ ( prod_z1214987823_d_a_e @ i @ m ) @ ( carr_p1636662547_d_a_e @ i @ m ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl116,plain,
    ! [X0: c > d] :
      ( ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
        = X0 )
      | ~ ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
      | ~ ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl40]) ).

thf(zip_derived_cl117,plain,
    ! [X0: c > d] :
      ( ~ ( member_c_d @ X0 @ ( carr_p1636662547_d_a_e @ i @ m ) )
      | ( ( prod_p131511076_d_a_e @ i @ m @ X0 @ ( prod_z1214987823_d_a_e @ i @ m ) )
        = X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl116]) ).

thf(conj_2,conjecture,
    ! [A4: c > d] :
      ( ( ( prod_p131511076_d_a_e @ i @ m @ A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
        = A4 )
      | ~ ( member_c_d @ A4 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A4: c > d] :
        ( ( ( prod_p131511076_d_a_e @ i @ m @ A4 @ ( prod_z1214987823_d_a_e @ i @ m ) )
          = A4 )
        | ~ ( member_c_d @ A4 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ),
    inference('cnf.neg',[status(esa)],[conj_2]) ).

thf(zip_derived_cl43,plain,
    ( ( prod_p131511076_d_a_e @ i @ m @ sk__15 @ ( prod_z1214987823_d_a_e @ i @ m ) )
   != sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl207,plain,
    ( ( sk__15 != sk__15 )
    | ~ ( member_c_d @ sk__15 @ ( carr_p1636662547_d_a_e @ i @ m ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl43]) ).

thf(zip_derived_cl42,plain,
    member_c_d @ sk__15 @ ( carr_p1636662547_d_a_e @ i @ m ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl217,plain,
    sk__15 != sk__15,
    inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl42]) ).

thf(zip_derived_cl218,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl217]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP027^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fzGKjjjSdt true
% 0.14/0.35  % Computer : n020.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 : Sun Aug 27 11:08:45 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
% 0.14/0.35  % 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
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.41/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.41/0.83  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.68/1.00  % Solved by lams/40_c_ic.sh.
% 1.68/1.00  % done 43 iterations in 0.214s
% 1.68/1.00  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.68/1.00  % SZS output start Refutation
% See solution above
% 1.68/1.00  
% 1.68/1.00  
% 1.68/1.00  % Terminating...
% 1.98/1.07  % Runner terminated.
% 1.98/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------