TSTP Solution File: ITP120^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP120^1 : 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.QQowkMOxRY true

% Computer : n015.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 05:22:18 EDT 2023

% Result   : Theorem 26.32s 4.03s
% Output   : Refutation 26.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   28 (  10 unt;  12 typ;   0 def)
%            Number of atoms       :   33 (  13 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  247 (   2   ~;   0   |;   0   &; 228   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   51 (  51   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   5 con; 0-5 aty)
%                                         (  15  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   30 (  15   ^;  15   !;   0   ?;  30   :)

% 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(b_type,type,
    b: a ).

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

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

thf(modula581031071_aux_a_type,type,
    modula581031071_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

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

thf(c_type,type,
    c: a ).

thf(a2_type,type,
    a2: a ).

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

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

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

thf(conj_0,axiom,
    less_eq @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ).

thf(zip_derived_cl248,plain,
    less_eq @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(fact_93_local_Oe__b__c__a,axiom,
    ! [B: a,C: a,A: a] :
      ( ( modula1144073633_aux_a @ inf @ sup @ B @ C @ A )
      = ( modula1144073633_aux_a @ inf @ sup @ A @ B @ C ) ) ).

thf(zip_derived_cl93,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( modula1144073633_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 )
                = ( modula1144073633_aux_a @ inf @ sup @ Y2 @ Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_93_local_Oe__b__c__a]) ).

thf(fact_87_local_Od__b__c__a,axiom,
    ! [B: a,C: a,A: a] :
      ( ( modula1936294176_aux_a @ inf @ sup @ B @ C @ A )
      = ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) ) ).

thf(zip_derived_cl87,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( modula1936294176_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 )
                = ( modula1936294176_aux_a @ inf @ sup @ Y2 @ Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_87_local_Od__b__c__a]) ).

thf(conj_1,conjecture,
    ( ( inf @ ( modula17988509_aux_a @ inf @ sup @ b @ c @ a2 ) @ ( modula581031071_aux_a @ inf @ sup @ a2 @ b @ c ) )
    = ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( inf @ ( modula17988509_aux_a @ inf @ sup @ b @ c @ a2 ) @ ( modula581031071_aux_a @ inf @ sup @ a2 @ b @ c ) )
   != ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ),
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl249,plain,
    ( ( inf @ ( modula17988509_aux_a @ inf @ sup @ b @ c @ a2 ) @ ( modula581031071_aux_a @ inf @ sup @ a2 @ b @ c ) )
   != ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_125_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_cl125,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_125_local_Ob__a]) ).

thf(fact_131_a__meet__b__eq__d,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 ) )
     => ( ( inf @ ( modula17988509_aux_a @ inf @ sup @ A @ B @ C ) @ ( modula1373251614_aux_a @ inf @ sup @ A @ B @ C ) )
        = ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) ) ) ).

thf(zip_derived_cl131,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 ) )
               => ( ( inf @ ( modula17988509_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 ) @ ( modula1373251614_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 ) )
                  = ( modula1936294176_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_131_a__meet__b__eq__d]) ).

thf(fact_112_local_Oc__a,axiom,
    ! [A: a,B: a,C: a] :
      ( ( modula581031071_aux_a @ inf @ sup @ A @ B @ C )
      = ( modula17988509_aux_a @ inf @ sup @ C @ A @ B ) ) ).

thf(zip_derived_cl112,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( modula581031071_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 )
                = ( modula17988509_aux_a @ inf @ sup @ Y2 @ Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_112_local_Oc__a]) ).

thf(zip_derived_cl4544,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl248,zip_derived_cl93,zip_derived_cl87,zip_derived_cl249,zip_derived_cl125,zip_derived_cl131,zip_derived_cl112]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP120^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QQowkMOxRY true
% 0.14/0.36  % Computer : n015.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 14:28:54 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/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
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.13/0.86  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 26.32/4.03  % Solved by lams/15_e_short1.sh.
% 26.32/4.03  % done 484 iterations in 3.199s
% 26.32/4.03  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.32/4.03  % SZS output start Refutation
% See solution above
% 26.32/4.03  
% 26.32/4.03  
% 26.32/4.04  % Terminating...
% 26.86/4.08  % Runner terminated.
% 26.86/4.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------