%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM342+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.I3BFoqxCoc true

% Computer : n031.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 12:39:57 EDT 2023

% Result   : Theorem 13.33s 2.59s
% Output   : Refutation 13.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   49 (  19 unt;  10 typ;   0 def)
%            Number of atoms       :   77 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  438 (  33   ~;  29   |;   6   &; 367   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   4 con; 0-4 aty)
%            Number of variables   :   63 (   0   ^;  59   !;   4   ?;  63   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rdnn_type,type,
    rdnn: $i > $i ).

thf(rdn_pos_type,type,
    rdn_pos: $i > $i ).

thf(n4_type,type,
    n4: $i ).

thf(rdn_digit_add_type,type,
    rdn_digit_add: $i > $i > $i > $i > $o ).

thf(n0_type,type,
    n0: $i ).

thf(rdn_translate_type,type,
    rdn_translate: $i > $i > $o ).

thf(difference_type,type,
    difference: $i > $i > $i > $o ).

thf(rdn_add_with_carry_type,type,
    rdn_add_with_carry: $i > $i > $i > $i > $o ).

thf(n8_type,type,
    n8: $i ).

thf(sum_type,type,
    sum: $i > $i > $i > $o ).

thf(rdn4,axiom,
    rdn_translate @ n4 @ ( rdn_pos @ ( rdnn @ n4 ) ) ).

thf(zip_derived_cl4,plain,
    rdn_translate @ n4 @ ( rdn_pos @ ( rdnn @ n4 ) ),
    inference(cnf,[status(esa)],[rdn4]) ).

thf(rdn0,axiom,
    rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ) ).

thf(zip_derived_cl0,plain,
    rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ),
    inference(cnf,[status(esa)],[rdn0]) ).

thf(sum_entry_point_pos_pos,axiom,
    ! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i,RDN_Z: $i] :
      ( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
        & ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
        & ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Y @ RDN_Z )
        & ( rdn_translate @ Z @ ( rdn_pos @ RDN_Z ) ) )
     => ( sum @ X @ Y @ Z ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( sum @ X0 @ X1 @ X2 )
      | ~ ( rdn_translate @ X1 @ ( rdn_pos @ X3 ) )
      | ~ ( rdn_translate @ X0 @ ( rdn_pos @ X4 ) )
      | ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X4 @ X3 @ X5 )
      | ~ ( rdn_translate @ X2 @ ( rdn_pos @ X5 ) ) ),
    inference(cnf,[status(esa)],[sum_entry_point_pos_pos]) ).

thf(zip_derived_cl341,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( rdn_translate @ X1 @ ( rdn_pos @ X0 ) )
      | ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X2 @ ( rdnn @ n0 ) @ X0 )
      | ~ ( rdn_translate @ X3 @ ( rdn_pos @ X2 ) )
      | ( sum @ X3 @ n0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl25]) ).

thf(zip_derived_cl636,plain,
    ! [X0: $i,X1: $i] :
      ( ( sum @ X1 @ n0 @ X1 )
      | ~ ( rdn_translate @ X1 @ ( rdn_pos @ X0 ) )
      | ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X0 @ ( rdnn @ n0 ) @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl341]) ).

thf(zip_derived_cl641,plain,
    ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) )
    | ( sum @ n4 @ n0 @ n4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl636]) ).

thf(rdn_digit_add_n4_n0_n4_n0,axiom,
    rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) ).

thf(zip_derived_cl81,plain,
    rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ),
    inference(cnf,[status(esa)],[rdn_digit_add_n4_n0_n4_n0]) ).

thf(add_digit_digit_digit,axiom,
    ! [C: $i,D1: $i,D2: $i,RD: $i,ID: $i] :
      ( ( ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ n0 ) )
        & ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ n0 ) ) )
     => ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ RD ) ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( rdn_add_with_carry @ ( rdnn @ X0 ) @ ( rdnn @ X1 ) @ ( rdnn @ X2 ) @ ( rdnn @ X3 ) )
      | ~ ( rdn_digit_add @ ( rdnn @ X1 ) @ ( rdnn @ X2 ) @ ( rdnn @ X4 ) @ ( rdnn @ n0 ) )
      | ~ ( rdn_digit_add @ ( rdnn @ X4 ) @ ( rdnn @ X0 ) @ ( rdnn @ X3 ) @ ( rdnn @ n0 ) ) ),
    inference(cnf,[status(esa)],[add_digit_digit_digit]) ).

thf(zip_derived_cl2151,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rdn_digit_add @ ( rdnn @ X0 ) @ ( rdnn @ X1 ) @ ( rdnn @ X0 ) @ ( rdnn @ n0 ) )
      | ( rdn_add_with_carry @ ( rdnn @ X1 ) @ ( rdnn @ X0 ) @ ( rdnn @ X1 ) @ ( rdnn @ X0 ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl2156,plain,
    rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n0 ) @ ( rdnn @ n4 ),
    inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl2151]) ).

thf(zip_derived_cl2220,plain,
    sum @ n4 @ n0 @ n4,
    inference(demod,[status(thm)],[zip_derived_cl641,zip_derived_cl2156]) ).

thf(minus_entry_point,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( sum @ Y @ Z @ X )
    <=> ( difference @ X @ Y @ Z ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( difference @ X0 @ X1 @ X2 )
      | ~ ( sum @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[minus_entry_point]) ).

thf(sum_and_difference,conjecture,
    ? [X: $i,Y: $i] :
      ( ( difference @ X @ Y @ n0 )
      & ( sum @ X @ Y @ n8 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i,Y: $i] :
        ( ( difference @ X @ Y @ n0 )
        & ( sum @ X @ Y @ n8 ) ),
    inference('cnf.neg',[status(esa)],[sum_and_difference]) ).

thf(zip_derived_cl141,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( difference @ X0 @ X1 @ n0 )
      | ~ ( sum @ X0 @ X1 @ n8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl188,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( sum @ X0 @ n0 @ X1 )
      | ~ ( sum @ X1 @ X0 @ n8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl141]) ).

thf(zip_derived_cl2224,plain,
    ~ ( sum @ n4 @ n4 @ n8 ),
    inference('sup-',[status(thm)],[zip_derived_cl2220,zip_derived_cl188]) ).

thf(zip_derived_cl4_001,plain,
    rdn_translate @ n4 @ ( rdn_pos @ ( rdnn @ n4 ) ),
    inference(cnf,[status(esa)],[rdn4]) ).

thf(rdn8,axiom,
    rdn_translate @ n8 @ ( rdn_pos @ ( rdnn @ n8 ) ) ).

thf(zip_derived_cl8,plain,
    rdn_translate @ n8 @ ( rdn_pos @ ( rdnn @ n8 ) ),
    inference(cnf,[status(esa)],[rdn8]) ).

thf(zip_derived_cl25_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( sum @ X0 @ X1 @ X2 )
      | ~ ( rdn_translate @ X1 @ ( rdn_pos @ X3 ) )
      | ~ ( rdn_translate @ X0 @ ( rdn_pos @ X4 ) )
      | ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X4 @ X3 @ X5 )
      | ~ ( rdn_translate @ X2 @ ( rdn_pos @ X5 ) ) ),
    inference(cnf,[status(esa)],[sum_entry_point_pos_pos]) ).

thf(zip_derived_cl351,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( rdn_translate @ X3 @ ( rdn_pos @ X2 ) )
      | ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X0 @ X0 @ X2 )
      | ~ ( rdn_translate @ X1 @ ( rdn_pos @ X0 ) )
      | ( sum @ X1 @ X1 @ X3 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl361,plain,
    ! [X0: $i,X1: $i] :
      ( ( sum @ X0 @ X0 @ n8 )
      | ~ ( rdn_translate @ X0 @ ( rdn_pos @ X1 ) )
      | ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X1 @ X1 @ ( rdnn @ n8 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl351]) ).

thf(zip_derived_cl463,plain,
    ( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) )
    | ( sum @ n4 @ n4 @ n8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl361]) ).

thf(rdn_digit_add_n8_n0_n8_n0,axiom,
    rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) ).

thf(zip_derived_cl121,plain,
    rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
    inference(cnf,[status(esa)],[rdn_digit_add_n8_n0_n8_n0]) ).

thf(rdn_digit_add_n4_n4_n8_n0,axiom,
    rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ) ).

thf(zip_derived_cl85,plain,
    rdn_digit_add @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n8 ) @ ( rdnn @ n0 ),
    inference(cnf,[status(esa)],[rdn_digit_add_n4_n4_n8_n0]) ).

thf(zip_derived_cl36_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( rdn_add_with_carry @ ( rdnn @ X0 ) @ ( rdnn @ X1 ) @ ( rdnn @ X2 ) @ ( rdnn @ X3 ) )
      | ~ ( rdn_digit_add @ ( rdnn @ X1 ) @ ( rdnn @ X2 ) @ ( rdnn @ X4 ) @ ( rdnn @ n0 ) )
      | ~ ( rdn_digit_add @ ( rdnn @ X4 ) @ ( rdnn @ X0 ) @ ( rdnn @ X3 ) @ ( rdnn @ n0 ) ) ),
    inference(cnf,[status(esa)],[add_digit_digit_digit]) ).

thf(zip_derived_cl2134,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rdn_digit_add @ ( rdnn @ n8 ) @ ( rdnn @ X1 ) @ ( rdnn @ X0 ) @ ( rdnn @ n0 ) )
      | ( rdn_add_with_carry @ ( rdnn @ X1 ) @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl36]) ).

thf(zip_derived_cl2575,plain,
    rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n4 ) @ ( rdnn @ n4 ) @ ( rdnn @ n8 ),
    inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl2134]) ).

thf(zip_derived_cl2800,plain,
    sum @ n4 @ n4 @ n8,
    inference(demod,[status(thm)],[zip_derived_cl463,zip_derived_cl2575]) ).

thf(zip_derived_cl2801,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2224,zip_derived_cl2800]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM342+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.I3BFoqxCoc true
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 15:59:37 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.70  % Total configuration time : 435
% 0.22/0.70  % Estimated wc time : 1092
% 0.22/0.70  % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.88  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.64/1.00  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 13.33/2.59  % Solved by fo/fo7.sh.
% 13.33/2.59  % done 2571 iterations in 1.759s
% 13.33/2.59  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.33/2.59  % SZS output start Refutation
% See solution above
% 13.33/2.59  
% 13.33/2.59  
% 13.33/2.59  % Terminating...
% 13.63/2.66  % Runner terminated.
% 13.63/2.68  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------