TSTP Solution File: NUM742^1 by Zipperpin---2.1.9999

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM742^1 : 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.nOeIYcClQT true

% Computer : n019.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 12:43:50 EDT 2023

% Result   : Theorem 0.19s 0.80s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   48 (  13 unt;   6 typ;   0 def)
%            Number of atoms       :  117 (   0 equ;   1 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  305 (  20   ~;  16   |;   0   &; 211   @)
%                                         (   0 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   6 con; 0-2 aty)
%                                         (  20  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   75 (  20   ^;  55   !;   0   ?;  75   :)

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

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

thf(y_type,type,
    y: frac ).

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

thf(z_type,type,
    z: frac ).

thf(x_type,type,
    x: frac ).

thf(satz51a,conjecture,
    lessf @ x @ z ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( lessf @ x @ z ),
    inference('cnf.neg',[status(esa)],[satz51a]) ).

thf(zip_derived_cl7,plain,
    ~ ( lessf @ x @ z ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l,axiom,
    ( ~ ( lessf @ x @ y )
   => ( eq @ x @ y ) ) ).

thf(zip_derived_cl0,plain,
    ( ( (~) @ ( lessf @ x @ y ) )
   => ( eq @ x @ y ) ),
    inference(cnf,[status(esa)],[l]) ).

thf(zip_derived_cl8,plain,
    ( ( lessf @ x @ y )
    | ( eq @ x @ y ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(satz38,axiom,
    ! [Xx: frac,Xy: frac] :
      ( ( eq @ Xx @ Xy )
     => ( eq @ Xy @ Xx ) ) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: frac] :
        ( !!
        @ ^ [Y1: frac] :
            ( ( eq @ Y0 @ Y1 )
           => ( eq @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[satz38]) ).

thf(zip_derived_cl11,plain,
    ! [X2: frac] :
      ( !!
      @ ^ [Y0: frac] :
          ( ( eq @ X2 @ Y0 )
         => ( eq @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl12,plain,
    ! [X2: frac,X4: frac] :
      ( ( eq @ X2 @ X4 )
     => ( eq @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl13,plain,
    ! [X2: frac,X4: frac] :
      ( ~ ( eq @ X2 @ X4 )
      | ( eq @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    ( ( lessf @ x @ y )
    | ( eq @ y @ x ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl13]) ).

thf(k,axiom,
    lessf @ y @ z ).

thf(zip_derived_cl1,plain,
    lessf @ y @ z,
    inference(cnf,[status(esa)],[k]) ).

thf(satz50,axiom,
    ! [Xx: frac,Xy: frac,Xz: frac] :
      ( ( lessf @ Xx @ Xy )
     => ( ( lessf @ Xy @ Xz )
       => ( lessf @ Xx @ Xz ) ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: frac] :
        ( !!
        @ ^ [Y1: frac] :
            ( !!
            @ ^ [Y2: frac] :
                ( ( lessf @ Y0 @ Y1 )
               => ( ( lessf @ Y1 @ Y2 )
                 => ( lessf @ Y0 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[satz50]) ).

thf(zip_derived_cl43,plain,
    ! [X2: frac] :
      ( !!
      @ ^ [Y0: frac] :
          ( !!
          @ ^ [Y1: frac] :
              ( ( lessf @ X2 @ Y0 )
             => ( ( lessf @ Y0 @ Y1 )
               => ( lessf @ X2 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl44,plain,
    ! [X2: frac,X4: frac] :
      ( !!
      @ ^ [Y0: frac] :
          ( ( lessf @ X2 @ X4 )
         => ( ( lessf @ X4 @ Y0 )
           => ( lessf @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl45,plain,
    ! [X2: frac,X4: frac,X6: frac] :
      ( ( lessf @ X2 @ X4 )
     => ( ( lessf @ X4 @ X6 )
       => ( lessf @ X2 @ X6 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl46,plain,
    ! [X2: frac,X4: frac,X6: frac] :
      ( ~ ( lessf @ X2 @ X4 )
      | ( ( lessf @ X4 @ X6 )
       => ( lessf @ X2 @ X6 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl47,plain,
    ! [X2: frac,X4: frac,X6: frac] :
      ( ~ ( lessf @ X4 @ X6 )
      | ( lessf @ X2 @ X6 )
      | ~ ( lessf @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl48,plain,
    ! [X0: frac] :
      ( ~ ( lessf @ X0 @ y )
      | ( lessf @ X0 @ z ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl47]) ).

thf(zip_derived_cl7_001,plain,
    ~ ( lessf @ x @ z ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl54,plain,
    ~ ( lessf @ x @ y ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl7]) ).

thf(zip_derived_cl61,plain,
    eq @ y @ x,
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl54]) ).

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

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: frac] : ( eq @ Y0 @ Y0 ) ),
    inference(cnf,[status(esa)],[satz37]) ).

thf(zip_derived_cl10,plain,
    ! [X2: frac] : ( eq @ X2 @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(satz45,axiom,
    ! [Xx: frac,Xy: frac,Xz: frac,Xu: frac] :
      ( ( lessf @ Xx @ Xy )
     => ( ( eq @ Xx @ Xz )
       => ( ( eq @ Xy @ Xu )
         => ( lessf @ Xz @ Xu ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: frac] :
        ( !!
        @ ^ [Y1: frac] :
            ( !!
            @ ^ [Y2: frac] :
                ( !!
                @ ^ [Y3: frac] :
                    ( ( lessf @ Y0 @ Y1 )
                   => ( ( eq @ Y0 @ Y2 )
                     => ( ( eq @ Y1 @ Y3 )
                       => ( lessf @ Y2 @ Y3 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[satz45]) ).

thf(zip_derived_cl22,plain,
    ! [X2: frac] :
      ( !!
      @ ^ [Y0: frac] :
          ( !!
          @ ^ [Y1: frac] :
              ( !!
              @ ^ [Y2: frac] :
                  ( ( lessf @ X2 @ Y0 )
                 => ( ( eq @ X2 @ Y1 )
                   => ( ( eq @ Y0 @ Y2 )
                     => ( lessf @ Y1 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl23,plain,
    ! [X2: frac,X4: frac] :
      ( !!
      @ ^ [Y0: frac] :
          ( !!
          @ ^ [Y1: frac] :
              ( ( lessf @ X2 @ X4 )
             => ( ( eq @ X2 @ Y0 )
               => ( ( eq @ X4 @ Y1 )
                 => ( lessf @ Y0 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl24,plain,
    ! [X2: frac,X4: frac,X6: frac] :
      ( !!
      @ ^ [Y0: frac] :
          ( ( lessf @ X2 @ X4 )
         => ( ( eq @ X2 @ X6 )
           => ( ( eq @ X4 @ Y0 )
             => ( lessf @ X6 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl25,plain,
    ! [X2: frac,X4: frac,X6: frac,X8: frac] :
      ( ( lessf @ X2 @ X4 )
     => ( ( eq @ X2 @ X6 )
       => ( ( eq @ X4 @ X8 )
         => ( lessf @ X6 @ X8 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl26,plain,
    ! [X2: frac,X4: frac,X6: frac,X8: frac] :
      ( ~ ( lessf @ X2 @ X4 )
      | ( ( eq @ X2 @ X6 )
       => ( ( eq @ X4 @ X8 )
         => ( lessf @ X6 @ X8 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl27,plain,
    ! [X2: frac,X4: frac,X6: frac,X8: frac] :
      ( ~ ( eq @ X2 @ X6 )
      | ( ( eq @ X4 @ X8 )
       => ( lessf @ X6 @ X8 ) )
      | ~ ( lessf @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl28,plain,
    ! [X2: frac,X4: frac,X6: frac,X8: frac] :
      ( ~ ( eq @ X4 @ X8 )
      | ( lessf @ X6 @ X8 )
      | ~ ( lessf @ X2 @ X4 )
      | ~ ( eq @ X2 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl31,plain,
    ! [X0: frac,X1: frac,X2: frac] :
      ( ~ ( eq @ X2 @ X1 )
      | ~ ( lessf @ X2 @ X0 )
      | ( lessf @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl28]) ).

thf(zip_derived_cl75,plain,
    ! [X0: frac] :
      ( ( lessf @ x @ X0 )
      | ~ ( lessf @ y @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl31]) ).

thf(zip_derived_cl1_002,plain,
    lessf @ y @ z,
    inference(cnf,[status(esa)],[k]) ).

thf(zip_derived_cl87,plain,
    lessf @ x @ z,
    inference('sup+',[status(thm)],[zip_derived_cl75,zip_derived_cl1]) ).

thf(zip_derived_cl99,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl87]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM742^1 : 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.nOeIYcClQT true
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 12:17:44 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.19/0.64  % Total configuration time : 828
% 0.19/0.64  % Estimated wc time : 1656
% 0.19/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.19/0.76  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.19/0.80  % Solved by lams/35_full_unif4.sh.
% 0.19/0.80  % done 35 iterations in 0.031s
% 0.19/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.80  % SZS output start Refutation
% See solution above
% 0.19/0.80  
% 0.19/0.80  
% 0.19/0.80  % Terminating...
% 1.47/0.84  % Runner terminated.
% 1.47/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------