TSTP Solution File: ITP121^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP121^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jRIwfkC0Bi 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 05:22:19 EDT 2023

% Result   : Theorem 26.93s 4.09s
% Output   : Refutation 26.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   33 (  12 unt;  11 typ;   0 def)
%            Number of atoms       :   47 (  17 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  416 (   2   ~;   0   |;   0   &; 389   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   42 (  42   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   5 con; 0-5 aty)
%                                         (  21  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   42 (  21   ^;  21   !;   0   ?;  42   :)

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

thf(modula17988509_aux_a_type,type,
    modula17988509_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(a2_type,type,
    a2: a ).

thf(modula1936294176_aux_a_type,type,
    modula1936294176_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(b_type,type,
    b: a ).

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

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

thf(c_type,type,
    c: a ).

thf(modula1144073633_aux_a_type,type,
    modula1144073633_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

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

thf(modula1373251614_aux_a_type,type,
    modula1373251614_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(fact_50_d__less__e,axiom,
    less_eq @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ).

thf(zip_derived_cl50,plain,
    less_eq @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ),
    inference(cnf,[status(esa)],[fact_50_d__less__e]) ).

thf(fact_92_local_Oinf_Ocobounded2,axiom,
    ! [A: a,B: a] : ( less_eq @ ( inf @ A @ B ) @ B ) ).

thf(zip_derived_cl92,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] : ( less_eq @ ( inf @ Y0 @ Y1 ) @ Y1 ) ) ),
    inference(cnf,[status(esa)],[fact_92_local_Oinf_Ocobounded2]) ).

thf(fact_126_local_Omodular,axiom,
    ! [X: a,Y: a,Z: a] :
      ( ( less_eq @ X @ Y )
     => ( ( sup @ X @ ( inf @ Y @ Z ) )
        = ( inf @ Y @ ( sup @ X @ Z ) ) ) ) ).

thf(zip_derived_cl126,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( less_eq @ Y0 @ Y1 )
               => ( ( sup @ Y0 @ ( inf @ Y1 @ Y2 ) )
                  = ( inf @ Y1 @ ( sup @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_126_local_Omodular]) ).

thf(fact_9_local_Osup__assoc,axiom,
    ! [X: a,Y: a,Z: a] :
      ( ( sup @ ( sup @ X @ Y ) @ Z )
      = ( sup @ X @ ( sup @ Y @ Z ) ) ) ).

thf(zip_derived_cl9,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( sup @ ( sup @ Y0 @ Y1 ) @ Y2 )
                = ( sup @ Y0 @ ( sup @ Y1 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_9_local_Osup__assoc]) ).

thf(fact_10_local_Osup__commute,axiom,
    ! [X: a,Y: a] :
      ( ( sup @ X @ Y )
      = ( sup @ Y @ X ) ) ).

thf(zip_derived_cl10,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( sup @ Y0 @ Y1 )
            = ( sup @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_10_local_Osup__commute]) ).

thf(conj_0,conjecture,
    ( ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) )
    = ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) )
   != ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl254,plain,
    ( ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) )
   != ( inf @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( sup @ ( inf @ ( sup @ b @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) @ ( sup @ a2 @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_61_local_Ob__a,axiom,
    ! [A: a,B: a,C: a] :
      ( ( modula1373251614_aux_a @ inf @ sup @ A @ B @ C )
      = ( modula17988509_aux_a @ inf @ sup @ B @ C @ A ) ) ).

thf(zip_derived_cl61,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( modula1373251614_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 )
                = ( modula17988509_aux_a @ inf @ sup @ Y1 @ Y2 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_61_local_Ob__a]) ).

thf(fact_16_local_Ob__join__d,axiom,
    ! [B: a,A: a,C: a] :
      ( ( sup @ B @ ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) )
      = ( sup @ B @ ( inf @ C @ A ) ) ) ).

thf(zip_derived_cl16,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( sup @ Y0 @ ( modula1936294176_aux_a @ inf @ sup @ Y1 @ Y0 @ Y2 ) )
                = ( sup @ Y0 @ ( inf @ Y2 @ Y1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_16_local_Ob__join__d]) ).

thf(fact_139_b__def__equiv,axiom,
    ! [A: a,B: a,C: a] :
      ( ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) @ ( modula1144073633_aux_a @ inf @ sup @ A @ B @ C ) )
     => ( ( modula1373251614_aux_a @ inf @ sup @ A @ B @ C )
        = ( inf @ ( sup @ B @ ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) ) @ ( modula1144073633_aux_a @ inf @ sup @ A @ B @ C ) ) ) ) ).

thf(zip_derived_cl139,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 ) @ ( modula1144073633_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 ) )
               => ( ( modula1373251614_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 )
                  = ( inf @ ( sup @ Y1 @ ( modula1936294176_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 ) ) @ ( modula1144073633_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_139_b__def__equiv]) ).

thf(fact_4_local_Oinf__commute,axiom,
    ! [X: a,Y: a] :
      ( ( inf @ X @ Y )
      = ( inf @ Y @ X ) ) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( inf @ Y0 @ Y1 )
            = ( inf @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_4_local_Oinf__commute]) ).

thf(zip_derived_cl5492,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl50,zip_derived_cl92,zip_derived_cl126,zip_derived_cl9,zip_derived_cl10,zip_derived_cl254,zip_derived_cl61,zip_derived_cl16,zip_derived_cl139,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP121^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jRIwfkC0Bi true
% 0.12/0.35  % Computer : n024.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Sun Aug 27 14:52:38 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.36  % Python version: Python 3.6.8
% 0.20/0.36  % Running in HO mode
% 0.20/0.62  % Total configuration time : 828
% 0.20/0.62  % Estimated wc time : 1656
% 0.20/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.37/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 26.93/4.09  % Solved by lams/15_e_short1.sh.
% 26.93/4.09  % done 498 iterations in 3.299s
% 26.93/4.09  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.93/4.09  % SZS output start Refutation
% See solution above
% 26.93/4.09  
% 26.93/4.09  
% 26.93/4.09  % Terminating...
% 26.93/4.14  % Runner terminated.
% 26.93/4.15  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------