TSTP Solution File: ITP124^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP124^1 : 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.Y2UjuFiko6 true

% Computer : n008.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 05:22:20 EDT 2023

% Result   : Theorem 2.67s 0.97s
% Output   : Refutation 2.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   45 (  25 unt;   7 typ;   0 def)
%            Number of atoms       :   62 (  37 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  362 (   3   ~;   0   |;   0   &; 335   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   5 con; 0-5 aty)
%                                         (  24  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   86 (  24   ^;  62   !;   0   ?;  86   :)

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

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

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

thf(a2_type,type,
    a2: a ).

thf(b_type,type,
    b: a ).

thf(c_type,type,
    c: a ).

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

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

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

thf(zip_derived_cl101,plain,
    ( ( modula1144073633_aux_a @ inf @ sup @ b @ c @ a2 )
   != ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_14_e__aux__def,axiom,
    ! [A: a,B: a,C: a] :
      ( ( modula1144073633_aux_a @ inf @ sup @ A @ B @ C )
      = ( inf @ ( inf @ ( sup @ A @ B ) @ ( sup @ B @ C ) ) @ ( sup @ C @ A ) ) ) ).

thf(zip_derived_cl14,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( modula1144073633_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 )
                = ( inf @ ( inf @ ( sup @ Y0 @ Y1 ) @ ( sup @ Y1 @ Y2 ) ) @ ( sup @ Y2 @ Y0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_14_e__aux__def]) ).

thf(zip_derived_cl420,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( modula1144073633_aux_a @ inf @ sup @ X2 @ Y0 @ Y1 )
              = ( inf @ ( inf @ ( sup @ X2 @ Y0 ) @ ( sup @ Y0 @ Y1 ) ) @ ( sup @ Y1 @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl421,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ Y0 )
          = ( inf @ ( inf @ ( sup @ X2 @ X4 ) @ ( sup @ X4 @ Y0 ) ) @ ( sup @ Y0 @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl420]) ).

thf(zip_derived_cl422,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( inf @ ( inf @ ( sup @ X2 @ X4 ) @ ( sup @ X4 @ X6 ) ) @ ( sup @ X6 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl421]) ).

thf(zip_derived_cl423,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( inf @ ( inf @ ( sup @ X2 @ X4 ) @ ( sup @ X4 @ X6 ) ) @ ( sup @ X6 @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl422]) ).

thf(fact_7_local_Osup_Ocommute,axiom,
    ! [A: a,B: a] :
      ( ( sup @ A @ B )
      = ( sup @ B @ A ) ) ).

thf(zip_derived_cl7,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( sup @ Y0 @ Y1 )
            = ( sup @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_7_local_Osup_Ocommute]) ).

thf(zip_derived_cl138,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( sup @ X2 @ Y0 )
          = ( sup @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl139,plain,
    ! [X2: a,X4: a] :
      ( ( sup @ X2 @ X4 )
      = ( sup @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl138]) ).

thf(zip_derived_cl140,plain,
    ! [X2: a,X4: a] :
      ( ( sup @ X2 @ X4 )
      = ( sup @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl139]) ).

thf(fact_1_local_Oinf_Ocommute,axiom,
    ! [A: a,B: a] :
      ( ( inf @ A @ B )
      = ( inf @ B @ A ) ) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( inf @ Y0 @ Y1 )
            = ( inf @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_1_local_Oinf_Ocommute]) ).

thf(zip_derived_cl132,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( inf @ X2 @ Y0 )
          = ( inf @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl133,plain,
    ! [X2: a,X4: a] :
      ( ( inf @ X2 @ X4 )
      = ( inf @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl132]) ).

thf(zip_derived_cl134,plain,
    ! [X2: a,X4: a] :
      ( ( inf @ X2 @ X4 )
      = ( inf @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl133]) ).

thf(fact_0_local_Oinf_Oassoc,axiom,
    ! [A: a,B: a,C: a] :
      ( ( inf @ ( inf @ A @ B ) @ C )
      = ( inf @ A @ ( inf @ B @ C ) ) ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( inf @ ( inf @ Y0 @ Y1 ) @ Y2 )
                = ( inf @ Y0 @ ( inf @ Y1 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_0_local_Oinf_Oassoc]) ).

thf(zip_derived_cl118,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( inf @ ( inf @ X2 @ Y0 ) @ Y1 )
              = ( inf @ X2 @ ( inf @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl119,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( inf @ ( inf @ X2 @ X4 ) @ Y0 )
          = ( inf @ X2 @ ( inf @ X4 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl118]) ).

thf(zip_derived_cl120,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( inf @ ( inf @ X2 @ X4 ) @ X6 )
      = ( inf @ X2 @ ( inf @ X4 @ X6 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl121,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( inf @ ( inf @ X2 @ X4 ) @ X6 )
      = ( inf @ X2 @ ( inf @ X4 @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl120]) ).

thf(zip_derived_cl134_001,plain,
    ! [X2: a,X4: a] :
      ( ( inf @ X2 @ X4 )
      = ( inf @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl133]) ).

thf(fact_2_local_Oinf_Oleft__commute,axiom,
    ! [B: a,A: a,C: a] :
      ( ( inf @ B @ ( inf @ A @ C ) )
      = ( inf @ A @ ( inf @ B @ C ) ) ) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( inf @ Y0 @ ( inf @ Y1 @ Y2 ) )
                = ( inf @ Y1 @ ( inf @ Y0 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_2_local_Oinf_Oleft__commute]) ).

thf(zip_derived_cl150,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( inf @ X2 @ ( inf @ Y0 @ Y1 ) )
              = ( inf @ Y0 @ ( inf @ X2 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl151,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( inf @ X2 @ ( inf @ X4 @ Y0 ) )
          = ( inf @ X4 @ ( inf @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl150]) ).

thf(zip_derived_cl152,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( inf @ X2 @ ( inf @ X4 @ X6 ) )
      = ( inf @ X4 @ ( inf @ X2 @ X6 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl151]) ).

thf(zip_derived_cl153,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( inf @ X2 @ ( inf @ X4 @ X6 ) )
      = ( inf @ X4 @ ( inf @ X2 @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl152]) ).

thf(zip_derived_cl423_002,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( inf @ ( inf @ ( sup @ X2 @ X4 ) @ ( sup @ X4 @ X6 ) ) @ ( sup @ X6 @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl422]) ).

thf(zip_derived_cl140_003,plain,
    ! [X2: a,X4: a] :
      ( ( sup @ X2 @ X4 )
      = ( sup @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl121_004,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( inf @ ( inf @ X2 @ X4 ) @ X6 )
      = ( inf @ X2 @ ( inf @ X4 @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl120]) ).

thf(zip_derived_cl134_005,plain,
    ! [X2: a,X4: a] :
      ( ( inf @ X2 @ X4 )
      = ( inf @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl424,plain,
    ( ( inf @ ( sup @ a2 @ b ) @ ( inf @ ( sup @ a2 @ c ) @ ( sup @ b @ c ) ) )
   != ( inf @ ( sup @ a2 @ b ) @ ( inf @ ( sup @ a2 @ c ) @ ( sup @ b @ c ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl423,zip_derived_cl140,zip_derived_cl134,zip_derived_cl121,zip_derived_cl134,zip_derived_cl153,zip_derived_cl423,zip_derived_cl140,zip_derived_cl121,zip_derived_cl134]) ).

thf(zip_derived_cl425,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl424]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP124^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Y2UjuFiko6 true
% 0.14/0.36  % Computer : n008.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 11:09:17 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.86  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 2.67/0.97  % Solved by lams/30_b.l.sh.
% 2.67/0.97  % done 0 iterations in 0.088s
% 2.67/0.97  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.67/0.97  % SZS output start Refutation
% See solution above
% 2.67/0.97  
% 2.67/0.97  
% 2.67/0.97  % Terminating...
% 3.18/1.09  % Runner terminated.
% 3.18/1.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------