TSTP Solution File: NUM753^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM753^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SiUiKTIz9i true

% Computer : n013.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 12:43:55 EDT 2023

% Result   : Theorem 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (  11 unt;   8 typ;   0 def)
%            Number of atoms       :   45 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  171 (  20   ~;  17   |;   0   &; 128   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   41 (   0   ^;  41   !;   0   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(frac_type,type,
    frac: $tType ).

thf(u_type,type,
    u: frac ).

thf(y_type,type,
    y: frac ).

thf(moref_type,type,
    moref: frac > frac > $o ).

thf(pf_type,type,
    pf: frac > frac > frac ).

thf(eq_type,type,
    eq: frac > frac > $o ).

thf(z_type,type,
    z: frac ).

thf(x_type,type,
    x: frac ).

thf(m,axiom,
    moref @ z @ u ).

thf(zip_derived_cl1,plain,
    moref @ z @ u,
    inference(cnf,[status(esa)],[m]) ).

thf(satz62d,axiom,
    ! [Xx: frac,Xy: frac,Xz: frac] :
      ( ( moref @ Xx @ Xy )
     => ( moref @ ( pf @ Xz @ Xx ) @ ( pf @ Xz @ Xy ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( ~ ( moref @ X0 @ X1 )
      | ( moref @ ( pf @ X2 @ X0 ) @ ( pf @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[satz62d]) ).

thf(satz56,axiom,
    ! [Xx: frac,Xy: frac,Xz: frac,Xu: frac] :
      ( ( eq @ Xx @ Xy )
     => ( ( eq @ Xz @ Xu )
       => ( eq @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xu ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: frac,X1: frac,X2: frac,X3: frac] :
      ( ~ ( eq @ X0 @ X1 )
      | ( eq @ ( pf @ X0 @ X2 ) @ ( pf @ X1 @ X3 ) )
      | ~ ( eq @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[satz56]) ).

thf(satz37,axiom,
    ! [Xx: frac] : ( eq @ Xx @ Xx ) ).

thf(zip_derived_cl4,plain,
    ! [X0: frac] : ( eq @ X0 @ X0 ),
    inference(cnf,[status(esa)],[satz37]) ).

thf(satz44,axiom,
    ! [Xx: frac,Xy: frac,Xz: frac,Xu: frac] :
      ( ( moref @ Xx @ Xy )
     => ( ( eq @ Xx @ Xz )
       => ( ( eq @ Xy @ Xu )
         => ( moref @ Xz @ Xu ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: frac,X1: frac,X2: frac,X3: frac] :
      ( ~ ( eq @ X0 @ X1 )
      | ~ ( moref @ X0 @ X2 )
      | ~ ( eq @ X2 @ X3 )
      | ( moref @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[satz44]) ).

thf(zip_derived_cl9,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( ( moref @ X0 @ X1 )
      | ~ ( eq @ X2 @ X1 )
      | ~ ( moref @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl26,plain,
    ! [X0: frac,X1: frac,X2: frac,X3: frac,X4: frac] :
      ( ~ ( eq @ X2 @ X0 )
      | ~ ( eq @ X3 @ X1 )
      | ~ ( moref @ X4 @ ( pf @ X3 @ X2 ) )
      | ( moref @ X4 @ ( pf @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).

thf(zip_derived_cl40,plain,
    ! [X0: frac,X1: frac,X2: frac,X3: frac,X4: frac] :
      ( ~ ( moref @ X2 @ X0 )
      | ( moref @ ( pf @ X1 @ X2 ) @ ( pf @ X4 @ X3 ) )
      | ~ ( eq @ X1 @ X4 )
      | ~ ( eq @ X0 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl26]) ).

thf(zip_derived_cl48,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( ~ ( eq @ u @ X0 )
      | ~ ( eq @ X2 @ X1 )
      | ( moref @ ( pf @ X2 @ z ) @ ( pf @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl40]) ).

thf(satz62g,conjecture,
    moref @ ( pf @ x @ z ) @ ( pf @ y @ u ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( moref @ ( pf @ x @ z ) @ ( pf @ y @ u ) ),
    inference('cnf.neg',[status(esa)],[satz62g]) ).

thf(zip_derived_cl6,plain,
    ~ ( moref @ ( pf @ x @ z ) @ ( pf @ y @ u ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    ( ~ ( eq @ x @ y )
    | ~ ( eq @ u @ u ) ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl6]) ).

thf(e,axiom,
    eq @ x @ y ).

thf(zip_derived_cl0,plain,
    eq @ x @ y,
    inference(cnf,[status(esa)],[e]) ).

thf(zip_derived_cl4_001,plain,
    ! [X0: frac] : ( eq @ X0 @ X0 ),
    inference(cnf,[status(esa)],[satz37]) ).

thf(zip_derived_cl65,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl0,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM753^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SiUiKTIz9i true
% 0.14/0.34  % Computer : n013.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 08:22:47 EDT 2023
% 0.20/0.34  % CPUTime  : 
% 0.20/0.34  % Running portfolio for 300 s
% 0.20/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.34  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in HO mode
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.73  % /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
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.77  % Solved by lams/40_c_ic.sh.
% 0.21/0.77  % done 29 iterations in 0.028s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% See solution above
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.77  % Terminating...
% 1.07/0.86  % Runner terminated.
% 1.07/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------