TSTP Solution File: ITP198^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP198^1 : 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.5m2e1w2awo true

% Computer : n032.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 05:22:48 EDT 2023

% Result   : Theorem 1.66s 0.92s
% Output   : Refutation 1.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   31 (   8 unt;  19 typ;   0 def)
%            Number of atoms       :   43 (  14 equ;   0 cnn)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :  132 (   3   ~;   0   |;   0   &; 119   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    8 (   7 usr)
%            Number of type conns  :   77 (  77   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  12 usr;   5 con; 0-3 aty)
%                                         (  10  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   31 (  13   ^;  18   !;   0   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(denotational_interp_type,type,
    denotational_interp: $tType ).

thf(produc1993135732e_real_type,type,
    produc1993135732e_real: $tType ).

thf(real_type,type,
    real: $tType ).

thf(char_type,type,
    char: $tType ).

thf(produc1020032539e_real_type,type,
    produc1020032539e_real: $tType ).

thf(produc104944723e_real_type,type,
    produc104944723e_real: $tType ).

thf(f_type,type,
    f: char ).

thf(if_real_type,type,
    if_real: $o > real > real > real ).

thf(i_type,type,
    i: denotational_interp ).

thf(denotational_Funcs_type,type,
    denotational_Funcs: denotational_interp > char > real > real ).

thf(d_type,type,
    d: real ).

thf(produc141013715e_real_type,type,
    produc141013715e_real: ( char > real > real ) > produc104944723e_real > produc1020032539e_real ).

thf(denotational_Consts_type,type,
    denotational_Consts: denotational_interp > char > real ).

thf(produc2125489830e_real_type,type,
    produc2125489830e_real: ( char > real ) > produc1020032539e_real > produc1993135732e_real ).

thf(denotational_Preds_type,type,
    denotational_Preds: denotational_interp > char > real > $o ).

thf(produc2007437005e_real_type,type,
    produc2007437005e_real: ( char > real > $o ) > ( char > set_variable_real > set_variable_real ) > produc104944723e_real ).

thf(denota1150374853interp_type,type,
    denota1150374853interp: produc1993135732e_real > denotational_interp ).

thf(denotational_Games_type,type,
    denotational_Games: denotational_interp > char > set_variable_real > set_variable_real ).

thf(set_variable_real_type,type,
    set_variable_real: $tType ).

thf(conj_0,conjecture,
    ( ( denotational_Preds
      @ ( denota1150374853interp
        @ ( produc2125489830e_real
          @ ^ [C2: char] : ( if_real @ ( C2 = f ) @ d @ ( denotational_Consts @ i @ C2 ) )
          @ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) )
    = ( denotational_Preds @ i ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( denotational_Preds
      @ ( denota1150374853interp
        @ ( produc2125489830e_real
          @ ^ [C2: char] : ( if_real @ ( C2 = f ) @ d @ ( denotational_Consts @ i @ C2 ) )
          @ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) )
   != ( denotational_Preds @ i ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl48,plain,
    ( ( denotational_Preds
      @ ( denota1150374853interp
        @ ( produc2125489830e_real
          @ ^ [Y0: char] : ( if_real @ ( Y0 = f ) @ d @ ( denotational_Consts @ i @ Y0 ) )
          @ ( produc141013715e_real @ ( denotational_Funcs @ i ) @ ( produc2007437005e_real @ ( denotational_Preds @ i ) @ ( denotational_Games @ i ) ) ) ) ) )
   != ( denotational_Preds @ i ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_0_Preds__mkinterp,axiom,
    ! [C: char > real,F: char > real > real,P: char > real > $o,G: char > set_variable_real > set_variable_real] :
      ( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ C @ ( produc141013715e_real @ F @ ( produc2007437005e_real @ P @ G ) ) ) ) )
      = P ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: char > real] :
        ( !!
        @ ^ [Y1: char > real > real] :
            ( !!
            @ ^ [Y2: char > real > $o] :
                ( !!
                @ ^ [Y3: char > set_variable_real > set_variable_real] :
                    ( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ Y0 @ ( produc141013715e_real @ Y1 @ ( produc2007437005e_real @ Y2 @ Y3 ) ) ) ) )
                    = Y2 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_0_Preds__mkinterp]) ).

thf(zip_derived_cl73,plain,
    ! [X2: char > real] :
      ( !!
      @ ^ [Y0: char > real > real] :
          ( !!
          @ ^ [Y1: char > real > $o] :
              ( !!
              @ ^ [Y2: char > set_variable_real > set_variable_real] :
                  ( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X2 @ ( produc141013715e_real @ Y0 @ ( produc2007437005e_real @ Y1 @ Y2 ) ) ) ) )
                  = Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl74,plain,
    ! [X2: char > real,X4: char > real > real] :
      ( !!
      @ ^ [Y0: char > real > $o] :
          ( !!
          @ ^ [Y1: char > set_variable_real > set_variable_real] :
              ( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X2 @ ( produc141013715e_real @ X4 @ ( produc2007437005e_real @ Y0 @ Y1 ) ) ) ) )
              = Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl75,plain,
    ! [X2: char > real,X4: char > real > real,X6: char > real > $o] :
      ( !!
      @ ^ [Y0: char > set_variable_real > set_variable_real] :
          ( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X2 @ ( produc141013715e_real @ X4 @ ( produc2007437005e_real @ X6 @ Y0 ) ) ) ) )
          = X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl79,plain,
    ! [X2: char > real,X4: char > real > real,X6: char > real > $o,X8: char > set_variable_real > set_variable_real] :
      ( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X2 @ ( produc141013715e_real @ X4 @ ( produc2007437005e_real @ X6 @ X8 ) ) ) ) )
      = X6 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl80,plain,
    ! [X2: char > real,X4: char > real > real,X6: char > real > $o,X8: char > set_variable_real > set_variable_real] :
      ( ( denotational_Preds @ ( denota1150374853interp @ ( produc2125489830e_real @ X2 @ ( produc141013715e_real @ X4 @ ( produc2007437005e_real @ X6 @ X8 ) ) ) ) )
      = X6 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl81,plain,
    ( ( denotational_Preds @ i )
   != ( denotational_Preds @ i ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl80]) ).

thf(zip_derived_cl82,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP198^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5m2e1w2awo true
% 0.12/0.34  % Computer : n032.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Aug 27 12:06:29 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.20/0.64  % Total configuration time : 828
% 0.20/0.64  % Estimated wc time : 1656
% 0.20/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.83  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.66/0.92  % Solved by lams/30_sp5.sh.
% 1.66/0.92  % done 0 iterations in 0.087s
% 1.66/0.92  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.66/0.92  % SZS output start Refutation
% See solution above
% 1.66/0.92  
% 1.66/0.92  
% 1.66/0.92  % Terminating...
% 2.59/0.97  % Runner terminated.
% 2.59/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------