TSTP Solution File: NUM691^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM691^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rH8y7SIe5k 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 : Thu Aug 31 12:43:29 EDT 2023

% Result   : Theorem 1.28s 0.78s
% Output   : Refutation 1.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   39 (  12 unt;   7 typ;   0 def)
%            Number of atoms       :   59 (  23 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  201 (  28   ~;  17   |;   0   &; 146   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(u_type,type,
    u: nat ).

thf(y_type,type,
    y: nat ).

thf(pl_type,type,
    pl: nat > nat > nat ).

thf(more_type,type,
    more: nat > nat > $o ).

thf(z_type,type,
    z: nat ).

thf(x_type,type,
    x: nat ).

thf(satz23,conjecture,
    ( ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) )
   => ( ( pl @ x @ z )
      = ( pl @ y @ u ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) )
     => ( ( pl @ x @ z )
        = ( pl @ y @ u ) ) ),
    inference('cnf.neg',[status(esa)],[satz23]) ).

thf(zip_derived_cl8,plain,
    ( ( pl @ x @ z )
   != ( pl @ y @ u ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(n,axiom,
    ( ~ ( more @ z @ u )
   => ( z = u ) ) ).

thf(zip_derived_cl1,plain,
    ( ( z = u )
    | ( more @ z @ u ) ),
    inference(cnf,[status(esa)],[n]) ).

thf(satz22a,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat,Xu: nat] :
      ( ( ~ ( more @ Xx @ Xy )
       => ( Xx = Xy ) )
     => ( ( more @ Xz @ Xu )
       => ( more @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xu ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( ~ ( more @ X0 @ X1 )
      | ( more @ ( pl @ X0 @ X2 ) @ ( pl @ X1 @ X3 ) )
      | ~ ( more @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[satz22a]) ).

thf(zip_derived_cl7,plain,
    ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ( ~ ( more @ z @ u )
    | ~ ( more @ x @ y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl13,plain,
    ( ( z = u )
    | ~ ( more @ x @ y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl11]) ).

thf(m,axiom,
    ( ~ ( more @ x @ y )
   => ( x = y ) ) ).

thf(zip_derived_cl0,plain,
    ( ( x = y )
    | ( more @ x @ y ) ),
    inference(cnf,[status(esa)],[m]) ).

thf(zip_derived_cl15,plain,
    ( ( z = u )
    | ( x = y ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl0]) ).

thf(zip_derived_cl7_001,plain,
    ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ( ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ z ) )
    | ( x = y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl7]) ).

thf(satz22b,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat,Xu: nat] :
      ( ( more @ Xx @ Xy )
     => ( ( ~ ( more @ Xz @ Xu )
         => ( Xz = Xu ) )
       => ( more @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xu ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( ~ ( more @ X0 @ X1 )
      | ( more @ ( pl @ X0 @ X2 ) @ ( pl @ X1 @ X3 ) )
      | ( X2 != X3 ) ),
    inference(cnf,[status(esa)],[satz22b]) ).

thf(zip_derived_cl10,plain,
    ! [X0: nat,X1: nat,X3: nat] :
      ( ( more @ ( pl @ X0 @ X3 ) @ ( pl @ X1 @ X3 ) )
      | ~ ( more @ X0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl25,plain,
    ( ( x = y )
    | ~ ( more @ x @ y ) ),
    inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl10]) ).

thf(zip_derived_cl0_002,plain,
    ( ( x = y )
    | ( more @ x @ y ) ),
    inference(cnf,[status(esa)],[m]) ).

thf(zip_derived_cl33,plain,
    x = y,
    inference(clc,[status(thm)],[zip_derived_cl25,zip_derived_cl0]) ).

thf(zip_derived_cl35,plain,
    ( ( pl @ x @ z )
   != ( pl @ x @ u ) ),
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl33]) ).

thf(zip_derived_cl1_003,plain,
    ( ( z = u )
    | ( more @ z @ u ) ),
    inference(cnf,[status(esa)],[n]) ).

thf(zip_derived_cl3,plain,
    ! [X0: nat,X1: nat,X2: nat,X3: nat] :
      ( ( X1 != X0 )
      | ( more @ ( pl @ X1 @ X2 ) @ ( pl @ X0 @ X3 ) )
      | ~ ( more @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[satz22a]) ).

thf(zip_derived_cl9,plain,
    ! [X0: nat,X2: nat,X3: nat] :
      ( ~ ( more @ X2 @ X3 )
      | ( more @ ( pl @ X0 @ X2 ) @ ( pl @ X0 @ X3 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7_004,plain,
    ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ u ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33_005,plain,
    x = y,
    inference(clc,[status(thm)],[zip_derived_cl25,zip_derived_cl0]) ).

thf(zip_derived_cl34,plain,
    ~ ( more @ ( pl @ x @ z ) @ ( pl @ x @ u ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl33]) ).

thf(zip_derived_cl40,plain,
    ~ ( more @ z @ u ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl34]) ).

thf(zip_derived_cl44,plain,
    z = u,
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl40]) ).

thf(zip_derived_cl48,plain,
    ( ( pl @ x @ z )
   != ( pl @ x @ z ) ),
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl44]) ).

thf(zip_derived_cl49,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl48]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM691^1 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rH8y7SIe5k true
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 11:22:39 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
% 0.14/0.35  % Running in HO mode
% 0.21/0.68  % Total configuration time : 828
% 0.21/0.68  % Estimated wc time : 1656
% 0.21/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.28/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.28/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.28/0.78  % Solved by lams/40_c.s.sh.
% 1.28/0.78  % done 31 iterations in 0.016s
% 1.28/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.28/0.78  % SZS output start Refutation
% See solution above
% 1.28/0.78  
% 1.28/0.78  
% 1.28/0.78  % Terminating...
% 1.78/0.86  % Runner terminated.
% 1.78/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------