TSTP Solution File: SWW298+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW298+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ONZTEX4RrX true

% Computer : n026.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 : Fri Sep  1 01:41:29 EDT 2023

% Result   : Theorem 6.09s 1.42s
% Output   : Refutation 6.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   21 (   5 unt;  10 typ;   0 def)
%            Number of atoms       :   17 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   88 (   4   ~;   2   |;   0   &;  78   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(t_a_type,type,
    t_a: $i ).

thf(v_ts_type,type,
    v_ts: $i ).

thf(tc_Hoare__Mirabelle_Otriple_type,type,
    tc_Hoare__Mirabelle_Otriple: $i > $i ).

thf(v_n_type,type,
    v_n: $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(hAPP_type,type,
    hAPP: $i > $i > $i ).

thf(c_Nat_OSuc_type,type,
    c_Nat_OSuc: $i ).

thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(c_member_type,type,
    c_member: $i > $i ).

thf(c_Hoare__Mirabelle_Otriple__valid_type,type,
    c_Hoare__Mirabelle_Otriple__valid: $i > $i > $i > $o ).

thf(conj_1,conjecture,
    ! [B_x: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_ts ) )
     => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ B_x ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B_x: $i] :
        ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_ts ) )
       => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ B_x ) ),
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl22,plain,
    ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conj_0,axiom,
    ! [B_x: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_ts ) )
     => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ ( hAPP @ c_Nat_OSuc @ v_n ) @ B_x ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ ( hAPP @ c_Nat_OSuc @ v_n ) @ X0 )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_ts ) ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl21,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ sk__1 ) @ v_ts ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    c_Hoare__Mirabelle_Otriple__valid @ t_a @ ( hAPP @ c_Nat_OSuc @ v_n ) @ sk__1,
    inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl21]) ).

thf(fact_triple__valid__Suc,axiom,
    ! [V_t: $i,V_n: $i,T_a: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ T_a @ ( hAPP @ c_Nat_OSuc @ V_n ) @ V_t )
     => ( c_Hoare__Mirabelle_Otriple__valid @ T_a @ V_n @ V_t ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ X0 @ X1 @ X2 )
      | ~ ( c_Hoare__Mirabelle_Otriple__valid @ X0 @ ( hAPP @ c_Nat_OSuc @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[fact_triple__valid__Suc]) ).

thf(zip_derived_cl31,plain,
    c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_n @ sk__1,
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl1]) ).

thf(zip_derived_cl33,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl31]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWW298+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ONZTEX4RrX true
% 0.12/0.31  % Computer : n026.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 300
% 0.12/0.31  % DateTime : Sun Aug 27 19:40:04 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.12/0.32  % Running portfolio for 300 s
% 0.12/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32  % Number of cores: 8
% 0.12/0.32  % Python version: Python 3.6.8
% 0.12/0.32  % Running in FO mode
% 0.16/0.53  % Total configuration time : 435
% 0.16/0.53  % Estimated wc time : 1092
% 0.16/0.53  % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.60  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.63  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.09/1.42  % Solved by fo/fo4.sh.
% 6.09/1.42  % done 13 iterations in 0.717s
% 6.09/1.42  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.09/1.42  % SZS output start Refutation
% See solution above
% 6.09/1.42  
% 6.09/1.42  
% 6.09/1.42  % Terminating...
% 6.09/1.47  % Runner terminated.
% 6.09/1.50  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------