TSTP Solution File: NUM756^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM756^1 : 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.qbH5CM5yRw true

% Computer : n003.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 12:43:57 EDT 2023

% Result   : Theorem 0.21s 0.74s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   30 (  11 unt;   8 typ;   0 def)
%            Number of atoms       :   39 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  149 (  20   ~;   8   |;   0   &; 112   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   25 (   0   ^;  25   !;   0   ?;  25   :)

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

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

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

thf(y_type,type,
    y: frac ).

thf(lessf_type,type,
    lessf: frac > frac > $o ).

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

thf(z_type,type,
    z: frac ).

thf(x_type,type,
    x: frac ).

thf(satz62c,axiom,
    ! [Xx: frac,Xy: frac,Xz: frac] :
      ( ( lessf @ Xx @ Xy )
     => ( lessf @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( ~ ( lessf @ X0 @ X1 )
      | ( lessf @ ( pf @ X0 @ X2 ) @ ( pf @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[satz62c]) ).

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

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

thf(satz41b,axiom,
    ! [Xx: frac,Xy: frac] :
      ~ ( ( ( eq @ Xx @ Xy )
         => ~ ( moref @ Xx @ Xy ) )
       => ( ( ( moref @ Xx @ Xy )
           => ~ ( lessf @ Xx @ Xy ) )
         => ~ ( ( lessf @ Xx @ Xy )
             => ~ ( eq @ Xx @ Xy ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: frac,X1: frac] :
      ( ~ ( eq @ X0 @ X1 )
      | ~ ( lessf @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz41b]) ).

thf(zip_derived_cl9,plain,
    ~ ( lessf @ ( pf @ x @ z ) @ ( pf @ y @ z ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl17,plain,
    ~ ( lessf @ x @ y ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).

thf(satz41a,axiom,
    ! [Xx: frac,Xy: frac] :
      ( ~ ( eq @ Xx @ Xy )
     => ( ~ ( moref @ Xx @ Xy )
       => ( lessf @ Xx @ Xy ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: frac,X1: frac] :
      ( ( moref @ X0 @ X1 )
      | ( lessf @ X0 @ X1 )
      | ( eq @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz41a]) ).

thf(zip_derived_cl0_001,plain,
    eq @ ( pf @ x @ z ) @ ( pf @ y @ z ),
    inference(cnf,[status(esa)],[e]) ).

thf(satz62a,axiom,
    ! [Xx: frac,Xy: frac,Xz: frac] :
      ( ( moref @ Xx @ Xy )
     => ( moref @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( ~ ( moref @ X0 @ X1 )
      | ( moref @ ( pf @ X0 @ X2 ) @ ( pf @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[satz62a]) ).

thf(zip_derived_cl2,plain,
    ! [X0: frac,X1: frac] :
      ( ~ ( moref @ X0 @ X1 )
      | ~ ( eq @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz41b]) ).

thf(zip_derived_cl11,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( ~ ( moref @ X2 @ X1 )
      | ~ ( eq @ ( pf @ X2 @ X0 ) @ ( pf @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).

thf(zip_derived_cl19,plain,
    ~ ( moref @ x @ y ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl11]) ).

thf(zip_derived_cl21,plain,
    ( ( eq @ x @ y )
    | ( lessf @ x @ y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl19]) ).

thf(satz63b,conjecture,
    eq @ x @ y ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( eq @ x @ y ),
    inference('cnf.neg',[status(esa)],[satz63b]) ).

thf(zip_derived_cl8,plain,
    ~ ( eq @ x @ y ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    lessf @ x @ y,
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl8]) ).

thf(zip_derived_cl25,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl23]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM756^1 : 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.qbH5CM5yRw true
% 0.14/0.34  % Computer : n003.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 14:46:53 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.62  % Total configuration time : 828
% 0.21/0.62  % Estimated wc time : 1656
% 0.21/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74  % Solved by lams/40_c.s.sh.
% 0.21/0.74  % done 16 iterations in 0.019s
% 0.21/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.74  % SZS output start Refutation
% See solution above
% 0.21/0.74  
% 0.21/0.74  
% 0.21/0.74  % Terminating...
% 1.52/0.82  % Runner terminated.
% 1.52/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------