TSTP Solution File: SWW334+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW334+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sa64tgUsM4 true

% Computer : n009.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 01:41:36 EDT 2023

% Result   : Theorem 55.87s 8.60s
% Output   : Refutation 55.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   29 (   8 unt;  17 typ;   0 def)
%            Number of atoms       :   16 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  197 (   6   ~;   2   |;   0   &; 187   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  17 usr;  10 con; 0-3 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_P_type,type,
    v_P: $i > $i ).

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

thf(tc_Com_Ocom_type,type,
    tc_Com_Ocom: $i ).

thf(t_a_type,type,
    t_a: $i ).

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

thf(tc_Com_Opname_type,type,
    tc_Com_Opname: $i ).

thf(v_x_type,type,
    v_x: $i ).

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

thf(v_Procs_type,type,
    v_Procs: $i ).

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

thf(c_Option_Othe_type,type,
    c_Option_Othe: $i > $i ).

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

thf(c_Com_Ocom_OBODY_type,type,
    c_Com_Ocom_OBODY: $i ).

thf(c_Com_Obody_type,type,
    c_Com_Obody: $i ).

thf(v_Q_type,type,
    v_Q: $i > $i ).

thf(c_Hoare__Mirabelle_Otriple_Otriple_type,type,
    c_Hoare__Mirabelle_Otriple_Otriple: $i > $i ).

thf(v_na_type,type,
    v_na: $i ).

thf(conj_3,axiom,
    ! [B_x: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ B_x ) @ v_Procs ) )
     => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_na @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ ( v_P @ B_x ) ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ B_x ) ) ) @ ( v_Q @ B_x ) ) ) ) ).

thf(zip_derived_cl157,plain,
    ! [X0: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_na @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ ( v_P @ X0 ) ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ X0 ) ) ) @ ( v_Q @ X0 ) ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ X0 ) @ v_Procs ) ) ),
    inference(cnf,[status(esa)],[conj_3]) ).

thf(fact_Body__triple__valid__Suc,axiom,
    ! [V_Qa_2: $i,V_pn_2: $i,V_Pa_2: $i,V_n_2: $i,T_b: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ T_b @ V_n_2 @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ T_b ) @ V_Pa_2 ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ V_pn_2 ) ) ) @ V_Qa_2 ) )
    <=> ( c_Hoare__Mirabelle_Otriple__valid @ T_b @ ( hAPP @ c_Nat_OSuc @ V_n_2 ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ T_b ) @ V_Pa_2 ) @ ( hAPP @ c_Com_Ocom_OBODY @ V_pn_2 ) ) @ V_Qa_2 ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ X0 @ ( hAPP @ c_Nat_OSuc @ X1 ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) @ X2 ) @ ( hAPP @ c_Com_Ocom_OBODY @ X3 ) ) @ X4 ) )
      | ~ ( c_Hoare__Mirabelle_Otriple__valid @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) @ X2 ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ X3 ) ) ) @ X4 ) ) ),
    inference(cnf,[status(esa)],[fact_Body__triple__valid__Suc]) ).

thf(conj_4,conjecture,
    c_Hoare__Mirabelle_Otriple__valid @ t_a @ ( hAPP @ c_Nat_OSuc @ v_na ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ ( v_P @ v_x ) ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_x ) ) @ ( v_Q @ v_x ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ ( hAPP @ c_Nat_OSuc @ v_na ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ ( v_P @ v_x ) ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_x ) ) @ ( v_Q @ v_x ) ) ),
    inference('cnf.neg',[status(esa)],[conj_4]) ).

thf(zip_derived_cl158,plain,
    ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ ( hAPP @ c_Nat_OSuc @ v_na ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ ( v_P @ v_x ) ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_x ) ) @ ( v_Q @ v_x ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl350,plain,
    ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ v_na @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ ( v_P @ v_x ) ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_x ) ) ) @ ( v_Q @ v_x ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl158]) ).

thf(zip_derived_cl54085,plain,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ v_x ) @ v_Procs ) ),
    inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl350]) ).

thf(conj_0,axiom,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ v_x ) @ v_Procs ) ).

thf(zip_derived_cl155,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ v_x ) @ v_Procs ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl54388,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl54085,zip_derived_cl155]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWW334+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sa64tgUsM4 true
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 22:42:20 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.53/0.61  % Total configuration time : 435
% 0.53/0.61  % Estimated wc time : 1092
% 0.53/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 55.87/8.60  % Solved by fo/fo4.sh.
% 55.87/8.60  % done 1361 iterations in 7.841s
% 55.87/8.60  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 55.87/8.60  % SZS output start Refutation
% See solution above
% 55.87/8.60  
% 55.87/8.60  
% 55.87/8.60  % Terminating...
% 55.87/8.65  % Runner terminated.
% 55.87/8.66  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------