TSTP Solution File: SWW955+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW955+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YIpeTEYgzp true

% Computer : n018.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 01:43:32 EDT 2023

% Result   : Theorem 0.20s 0.75s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   51 (  17 unt;  13 typ;   0 def)
%            Number of atoms       :   62 (   4 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  173 (  19   ~;  16   |;   1   &; 130   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   4 con; 0-2 aty)
%            Number of variables   :   33 (   0   ^;  33   !;   0   ?;  33   :)

% Comments : 
%------------------------------------------------------------------------------
thf(name_Ka_type,type,
    name_Ka: $i ).

thf(pred_attacker_type,type,
    pred_attacker: $i > $o ).

thf(tuple_A_out_3_type,type,
    tuple_A_out_3: $i > $i ).

thf(tuple_A_out_1_type,type,
    tuple_A_out_1: $i > $i ).

thf(name_objective_type,type,
    name_objective: $i ).

thf(name_new0x2Dname_type,type,
    name_new0x2Dname: $i > $i ).

thf(constr_comm_enc_type,type,
    constr_comm_enc: $i > $i > $i ).

thf(tuple_A_out_4_type,type,
    tuple_A_out_4: $i > $i ).

thf(tuple_A_in_2_type,type,
    tuple_A_in_2: $i > $i ).

thf(constr_dec_type,type,
    constr_dec: $i > $i > $i ).

thf(name_m_9_type,type,
    name_m_9: $i ).

thf(constr_comm_dec_type,type,
    constr_comm_dec: $i > $i > $i ).

thf(constr_enc_type,type,
    constr_enc: $i > $i > $i ).

thf(ax70,axiom,
    ! [VAR_V_80X30: $i] :
      ( ( pred_attacker @ VAR_V_80X30 )
     => ( pred_attacker @ ( tuple_A_in_2 @ VAR_V_80X30 ) ) ) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_A_in_2 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax70]) ).

thf(ax79,axiom,
    ! [VAR_MSG1_142: $i] :
      ( ( pred_attacker @ ( tuple_A_in_2 @ VAR_MSG1_142 ) )
     => ( pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ name_m_9 ) ) ) ) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ name_m_9 ) ) )
      | ~ ( pred_attacker @ ( tuple_A_in_2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax79]) ).

thf(zip_derived_cl221,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ( pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ name_m_9 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl79]) ).

thf(ax76,axiom,
    ! [VAR_V_95: $i] : ( pred_attacker @ ( name_new0x2Dname @ VAR_V_95 ) ) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i] : ( pred_attacker @ ( name_new0x2Dname @ X0 ) ),
    inference(cnf,[status(esa)],[ax76]) ).

thf(zip_derived_cl243,plain,
    pred_attacker @ ( tuple_A_out_4 @ ( constr_enc @ name_objective @ name_m_9 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl76]) ).

thf(ax65,axiom,
    ! [VAR_V_65: $i] :
      ( ( pred_attacker @ ( tuple_A_out_4 @ VAR_V_65 ) )
     => ( pred_attacker @ VAR_V_65 ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_A_out_4 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax65]) ).

thf(zip_derived_cl264,plain,
    pred_attacker @ ( constr_enc @ name_objective @ name_m_9 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl243,zip_derived_cl65]) ).

thf(ax45,axiom,
    ! [VAR_K_8: $i,VAR_M_7: $i] :
      ( ( constr_dec @ ( constr_enc @ VAR_M_7 @ VAR_K_8 ) @ VAR_K_8 )
      = VAR_M_7 ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_dec @ ( constr_enc @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[ax45]) ).

thf(ax50,axiom,
    ! [VAR_V_33: $i,VAR_V_34: $i] :
      ( ( ( pred_attacker @ VAR_V_33 )
        & ( pred_attacker @ VAR_V_34 ) )
     => ( pred_attacker @ ( constr_dec @ VAR_V_33 @ VAR_V_34 ) ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ ( constr_dec @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[ax50]) ).

thf(zip_derived_cl210,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( pred_attacker @ ( constr_enc @ X0 @ X1 ) )
      | ~ ( pred_attacker @ X1 )
      | ( pred_attacker @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl50]) ).

thf(zip_derived_cl265,plain,
    ( ~ ( pred_attacker @ name_m_9 )
    | ( pred_attacker @ name_objective ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl264,zip_derived_cl210]) ).

thf(co0,conjecture,
    pred_attacker @ name_objective ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( pred_attacker @ name_objective ),
    inference('cnf.neg',[status(esa)],[co0]) ).

thf(zip_derived_cl81,plain,
    ~ ( pred_attacker @ name_objective ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl266,plain,
    ~ ( pred_attacker @ name_m_9 ),
    inference(clc,[status(thm)],[zip_derived_cl265,zip_derived_cl81]) ).

thf(ax77,axiom,
    pred_attacker @ ( tuple_A_out_1 @ ( constr_comm_enc @ name_m_9 @ name_Ka ) ) ).

thf(zip_derived_cl77,plain,
    pred_attacker @ ( tuple_A_out_1 @ ( constr_comm_enc @ name_m_9 @ name_Ka ) ),
    inference(cnf,[status(esa)],[ax77]) ).

thf(ax69,axiom,
    ! [VAR_V_77: $i] :
      ( ( pred_attacker @ ( tuple_A_out_1 @ VAR_V_77 ) )
     => ( pred_attacker @ VAR_V_77 ) ) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_A_out_1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax69]) ).

thf(zip_derived_cl209,plain,
    pred_attacker @ ( constr_comm_enc @ name_m_9 @ name_Ka ),
    inference('s_sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl69]) ).

thf(zip_derived_cl70_001,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_A_in_2 @ X0 ) )
      | ~ ( pred_attacker @ X0 ) ),
    inference(cnf,[status(esa)],[ax70]) ).

thf(ax46,axiom,
    ! [VAR_K_0X30: $i,VAR_M_0X30: $i] :
      ( ( constr_comm_dec @ ( constr_comm_enc @ VAR_M_0X30 @ VAR_K_0X30 ) @ VAR_K_0X30 )
      = VAR_M_0X30 ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ( constr_comm_dec @ ( constr_comm_enc @ X0 @ X1 ) @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[ax46]) ).

thf(ax78,axiom,
    ! [VAR_MSG1_128: $i] :
      ( ( pred_attacker @ ( tuple_A_in_2 @ VAR_MSG1_128 ) )
     => ( pred_attacker @ ( tuple_A_out_3 @ ( constr_comm_dec @ VAR_MSG1_128 @ name_Ka ) ) ) ) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ ( tuple_A_out_3 @ ( constr_comm_dec @ X0 @ name_Ka ) ) )
      | ~ ( pred_attacker @ ( tuple_A_in_2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax78]) ).

thf(ax67,axiom,
    ! [VAR_V_71: $i] :
      ( ( pred_attacker @ ( tuple_A_out_3 @ VAR_V_71 ) )
     => ( pred_attacker @ VAR_V_71 ) ) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( pred_attacker @ X0 )
      | ~ ( pred_attacker @ ( tuple_A_out_3 @ X0 ) ) ),
    inference(cnf,[status(esa)],[ax67]) ).

thf(zip_derived_cl225,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ ( tuple_A_in_2 @ X0 ) )
      | ( pred_attacker @ ( constr_comm_dec @ X0 @ name_Ka ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl67]) ).

thf(zip_derived_cl228,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ ( tuple_A_in_2 @ ( constr_comm_enc @ X0 @ name_Ka ) ) )
      | ( pred_attacker @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl225]) ).

thf(zip_derived_cl270,plain,
    ! [X0: $i] :
      ( ~ ( pred_attacker @ ( constr_comm_enc @ X0 @ name_Ka ) )
      | ( pred_attacker @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl228]) ).

thf(zip_derived_cl273,plain,
    pred_attacker @ name_m_9,
    inference('s_sup-',[status(thm)],[zip_derived_cl209,zip_derived_cl270]) ).

thf(zip_derived_cl274,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl266,zip_derived_cl273]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW955+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YIpeTEYgzp true
% 0.13/0.34  % Computer : n018.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 21:20:16 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % Solved by fo/fo6_bce.sh.
% 0.20/0.75  % BCE start: 82
% 0.20/0.75  % BCE eliminated: 1
% 0.20/0.75  % PE start: 81
% 0.20/0.75  logic: eq
% 0.20/0.75  % PE eliminated: 2
% 0.20/0.75  % done 94 iterations in 0.028s
% 0.20/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.75  % SZS output start Refutation
% See solution above
% 0.20/0.75  
% 0.20/0.75  
% 0.20/0.75  % Terminating...
% 1.43/0.83  % Runner terminated.
% 1.43/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------