%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP053^1 : 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.hXps7cRbGr 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 05:21:52 EDT 2023

% Result   : Theorem 5.75s 1.66s
% Output   : Refutation 5.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   48 (  26 unt;  14 typ;   0 def)
%            Number of atoms       :   42 (  41 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  292 (  12   ~;   6   |;   0   &; 272   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    4 (   4 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :   55 (   0   ^;  55   !;   0   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(list_P559422087at_nat_type,type,
    list_P559422087at_nat: $tType ).

thf(product_prod_nat_nat_type,type,
    product_prod_nat_nat: $tType ).

thf(p2_type,type,
    p2: list_P559422087at_nat ).

thf(min_dist_capacity_type,type,
    min_dist_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > nat ).

thf(plus_plus_nat_type,type,
    plus_plus_nat: nat > nat > nat ).

thf(capacity_type,type,
    capacity: $tType ).

thf(size_s1990949619at_nat_type,type,
    size_s1990949619at_nat: list_P559422087at_nat > nat ).

thf(u_type,type,
    u: nat ).

thf(p1_type,type,
    p1: list_P559422087at_nat ).

thf(s_type,type,
    s: nat ).

thf(c_type,type,
    c: product_prod_nat_nat > capacity ).

thf(t_type,type,
    t: nat ).

thf(one_one_nat_type,type,
    one_one_nat: nat ).

thf(fact_0_MIN_H,axiom,
    ( ( min_dist_capacity @ c @ s @ t )
    = ( plus_plus_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ one_one_nat ) @ ( size_s1990949619at_nat @ p2 ) ) ) ).

thf(zip_derived_cl0,plain,
    ( ( min_dist_capacity @ c @ s @ t )
    = ( plus_plus_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ one_one_nat ) @ ( size_s1990949619at_nat @ p2 ) ) ),
    inference(cnf,[status(esa)],[fact_0_MIN_H]) ).

thf(fact_23_add_Ocommute,axiom,
    ! [A2: nat,B2: nat] :
      ( ( plus_plus_nat @ A2 @ B2 )
      = ( plus_plus_nat @ B2 @ A2 ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: nat,X1: nat] :
      ( ( plus_plus_nat @ X1 @ X0 )
      = ( plus_plus_nat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_23_add_Ocommute]) ).

thf(zip_derived_cl18_001,plain,
    ! [X0: nat,X1: nat] :
      ( ( plus_plus_nat @ X1 @ X0 )
      = ( plus_plus_nat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_23_add_Ocommute]) ).

thf(zip_derived_cl74,plain,
    ( ( min_dist_capacity @ c @ s @ t )
    = ( plus_plus_nat @ ( size_s1990949619at_nat @ p2 ) @ ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl18,zip_derived_cl18]) ).

thf(fact_24_add_Oassoc,axiom,
    ! [A: nat,B: nat,C: nat] :
      ( ( plus_plus_nat @ ( plus_plus_nat @ A @ B ) @ C )
      = ( plus_plus_nat @ A @ ( plus_plus_nat @ B @ C ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( plus_plus_nat @ ( plus_plus_nat @ X0 @ X1 ) @ X2 )
      = ( plus_plus_nat @ X0 @ ( plus_plus_nat @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_24_add_Oassoc]) ).

thf(zip_derived_cl18_002,plain,
    ! [X0: nat,X1: nat] :
      ( ( plus_plus_nat @ X1 @ X0 )
      = ( plus_plus_nat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_23_add_Ocommute]) ).

thf(zip_derived_cl81,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( plus_plus_nat @ X2 @ ( plus_plus_nat @ X1 @ X0 ) )
      = ( plus_plus_nat @ X0 @ ( plus_plus_nat @ X2 @ X1 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl18]) ).

thf(zip_derived_cl2074,plain,
    ! [X0: nat] :
      ( ( plus_plus_nat @ ( size_s1990949619at_nat @ p2 ) @ ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p1 ) ) @ X0 ) )
      = ( plus_plus_nat @ X0 @ ( min_dist_capacity @ c @ s @ t ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl74,zip_derived_cl81]) ).

thf(zip_derived_cl19_003,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( plus_plus_nat @ ( plus_plus_nat @ X0 @ X1 ) @ X2 )
      = ( plus_plus_nat @ X0 @ ( plus_plus_nat @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_24_add_Oassoc]) ).

thf(fact_22_add_Oleft__commute,axiom,
    ! [B: nat,A: nat,C: nat] :
      ( ( plus_plus_nat @ B @ ( plus_plus_nat @ A @ C ) )
      = ( plus_plus_nat @ A @ ( plus_plus_nat @ B @ C ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( plus_plus_nat @ X1 @ ( plus_plus_nat @ X0 @ X2 ) )
      = ( plus_plus_nat @ X0 @ ( plus_plus_nat @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_22_add_Oleft__commute]) ).

thf(zip_derived_cl2203,plain,
    ! [X0: nat] :
      ( ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p2 ) @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ X0 ) ) )
      = ( plus_plus_nat @ X0 @ ( min_dist_capacity @ c @ s @ t ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2074,zip_derived_cl19,zip_derived_cl17]) ).

thf(zip_derived_cl18_004,plain,
    ! [X0: nat,X1: nat] :
      ( ( plus_plus_nat @ X1 @ X0 )
      = ( plus_plus_nat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_23_add_Ocommute]) ).

thf(fact_9_add__left__cancel,axiom,
    ! [A: nat,B: nat,C: nat] :
      ( ( ( plus_plus_nat @ A @ B )
        = ( plus_plus_nat @ A @ C ) )
    <=> ( B = C ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( X1 = X0 )
      | ( ( plus_plus_nat @ X2 @ X1 )
       != ( plus_plus_nat @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_9_add__left__cancel]) ).

thf(zip_derived_cl278,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( ( plus_plus_nat @ X0 @ X2 )
       != ( plus_plus_nat @ X1 @ X0 ) )
      | ( X2 = X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl5]) ).

thf(fact_2__092_060open_062min__dist_As_At_A_061_Alength_Ap1_A_L_A_I1_A_L_Alength_Ap2_J_A_092_060Longrightarrow_062_Amin__dist_Au_At_A_061_A1_A_L_Alength_Ap2_092_060close_062,axiom,
    ( ( ( min_dist_capacity @ c @ s @ t )
      = ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ) )
   => ( ( min_dist_capacity @ c @ u @ t )
      = ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ( ( ( min_dist_capacity @ c @ u @ t )
      = ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) )
    | ( ( min_dist_capacity @ c @ s @ t )
     != ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_2__092_060open_062min__dist_As_At_A_061_Alength_Ap1_A_L_A_I1_A_L_Alength_Ap2_J_A_092_060Longrightarrow_062_Amin__dist_Au_At_A_061_A1_A_L_Alength_Ap2_092_060close_062]) ).

thf(zip_derived_cl17_005,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( plus_plus_nat @ X1 @ ( plus_plus_nat @ X0 @ X2 ) )
      = ( plus_plus_nat @ X0 @ ( plus_plus_nat @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_22_add_Oleft__commute]) ).

thf(zip_derived_cl18_006,plain,
    ! [X0: nat,X1: nat] :
      ( ( plus_plus_nat @ X1 @ X0 )
      = ( plus_plus_nat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_23_add_Ocommute]) ).

thf(zip_derived_cl544,plain,
    ( ( ( min_dist_capacity @ c @ u @ t )
      = ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) )
    | ( ( min_dist_capacity @ c @ s @ t )
     != ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p2 ) @ ( size_s1990949619at_nat @ p1 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl17,zip_derived_cl18]) ).

thf(conj_0,conjecture,
    ( ( min_dist_capacity @ c @ u @ t )
    = ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( min_dist_capacity @ c @ u @ t )
   != ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl62,plain,
    ( ( min_dist_capacity @ c @ u @ t )
   != ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl545,plain,
    ( ( min_dist_capacity @ c @ s @ t )
   != ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p2 ) @ ( size_s1990949619at_nat @ p1 ) ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl544,zip_derived_cl62]) ).

thf(zip_derived_cl643,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( min_dist_capacity @ c @ s @ t )
       != X0 )
      | ( ( plus_plus_nat @ X1 @ X0 )
       != ( plus_plus_nat @ ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p2 ) @ ( size_s1990949619at_nat @ p1 ) ) ) @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl545]) ).

thf(zip_derived_cl19_007,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( plus_plus_nat @ ( plus_plus_nat @ X0 @ X1 ) @ X2 )
      = ( plus_plus_nat @ X0 @ ( plus_plus_nat @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_24_add_Oassoc]) ).

thf(zip_derived_cl19_008,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ( plus_plus_nat @ ( plus_plus_nat @ X0 @ X1 ) @ X2 )
      = ( plus_plus_nat @ X0 @ ( plus_plus_nat @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_24_add_Oassoc]) ).

thf(zip_derived_cl748,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( min_dist_capacity @ c @ s @ t )
       != X0 )
      | ( ( plus_plus_nat @ X1 @ X0 )
       != ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p2 ) @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ X1 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl643,zip_derived_cl19,zip_derived_cl19]) ).

thf(zip_derived_cl749,plain,
    ! [X1: nat] :
      ( ( plus_plus_nat @ X1 @ ( min_dist_capacity @ c @ s @ t ) )
     != ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p2 ) @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ X1 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl748]) ).

thf(zip_derived_cl2204,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2203,zip_derived_cl749]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP053^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hXps7cRbGr true
% 0.11/0.34  % Computer : n032.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Sun Aug 27 11:05:14 EDT 2023
% 0.11/0.34  % CPUTime  : 
% 0.11/0.34  % Running portfolio for 300 s
% 0.11/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34  % Number of cores: 8
% 0.11/0.34  % Python version: Python 3.6.8
% 0.11/0.34  % Running in HO mode
% 0.18/0.61  % Total configuration time : 828
% 0.18/0.61  % Estimated wc time : 1656
% 0.18/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.18/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.18/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.18/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.18/0.71  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.18/0.71  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.18/0.71  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.18/0.71  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.18/0.79  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 5.75/1.66  % Solved by lams/40_c_ic.sh.
% 5.75/1.66  % done 174 iterations in 0.915s
% 5.75/1.66  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.75/1.66  % SZS output start Refutation
% See solution above
% 5.75/1.66  
% 5.75/1.66  
% 5.75/1.66  % Terminating...
% 8.41/1.77  % Runner terminated.
% 8.41/1.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------