TSTP Solution File: ITP123^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP123^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Iu2kJrgT4B true

% Computer : n006.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 05:22:19 EDT 2023

% Result   : Theorem 1.88s 1.07s
% Output   : Refutation 1.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   24 (  12 unt;   7 typ;   0 def)
%            Number of atoms       :   24 (   2 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  108 (   9   ~;   4   |;   0   &;  92   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(inf_type,type,
    inf: a > a > a ).

thf(sup_type,type,
    sup: a > a > a ).

thf(x_type,type,
    x: a ).

thf(y_type,type,
    y: a ).

thf(z_type,type,
    z: a ).

thf(less_eq_type,type,
    less_eq: a > a > $o ).

thf(fact_75_local_Oinf_OboundedI,axiom,
    ! [A: a,B: a,C: a] :
      ( ( less_eq @ A @ B )
     => ( ( less_eq @ A @ C )
       => ( less_eq @ A @ ( inf @ B @ C ) ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ~ ( less_eq @ X0 @ X1 )
      | ( less_eq @ X0 @ ( inf @ X1 @ X2 ) )
      | ~ ( less_eq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[fact_75_local_Oinf_OboundedI]) ).

thf(fact_99_local_Ole__supI2,axiom,
    ! [X: a,B: a,A: a] :
      ( ( less_eq @ X @ B )
     => ( less_eq @ X @ ( sup @ A @ B ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ~ ( less_eq @ X0 @ X1 )
      | ( less_eq @ X0 @ ( sup @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_99_local_Ole__supI2]) ).

thf(conj_4,conjecture,
    less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) ),
    inference('cnf.neg',[status(esa)],[conj_4]) ).

thf(zip_derived_cl111,plain,
    ~ ( less_eq @ x @ ( sup @ ( inf @ y @ ( sup @ x @ z ) ) @ z ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_39_local_Osup_Ocommute,axiom,
    ! [A: a,B: a] :
      ( ( sup @ A @ B )
      = ( sup @ B @ A ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: a,X1: a] :
      ( ( sup @ X1 @ X0 )
      = ( sup @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_39_local_Osup_Ocommute]) ).

thf(zip_derived_cl218,plain,
    ~ ( less_eq @ x @ ( sup @ z @ ( inf @ y @ ( sup @ x @ z ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl7]) ).

thf(zip_derived_cl1079,plain,
    ~ ( less_eq @ x @ ( inf @ y @ ( sup @ x @ z ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl218]) ).

thf(zip_derived_cl1146,plain,
    ( ~ ( less_eq @ x @ ( sup @ x @ z ) )
    | ~ ( less_eq @ x @ y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl1079]) ).

thf(fact_106_local_Osup_Ocobounded1,axiom,
    ! [A: a,B: a] : ( less_eq @ A @ ( sup @ A @ B ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: a,X1: a] : ( less_eq @ X0 @ ( sup @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_106_local_Osup_Ocobounded1]) ).

thf(conj_1,axiom,
    less_eq @ x @ y ).

thf(zip_derived_cl108,plain,
    less_eq @ x @ y,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl1175,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1146,zip_derived_cl61,zip_derived_cl108]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP123^1 : TPTP v8.1.2. Released v7.5.0.
% 0.14/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Iu2kJrgT4B true
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 13:28:07 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in HO mode
% 0.23/0.65  % Total configuration time : 828
% 0.23/0.65  % Estimated wc time : 1656
% 0.23/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.80  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.82  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.84  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.36/0.86  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.36/0.88  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.65/0.99  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.88/1.07  % Solved by lams/40_c_ic.sh.
% 1.88/1.07  % done 174 iterations in 0.239s
% 1.88/1.07  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.88/1.07  % SZS output start Refutation
% See solution above
% 1.88/1.07  
% 1.88/1.07  
% 1.88/1.07  % Terminating...
% 2.34/1.20  % Runner terminated.
% 2.34/1.22  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------