%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KLE137+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OKJtaKC0CY true

% Computer : n003.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 05:38:46 EDT 2023

% Result   : Theorem 0.55s 0.81s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   43 (  28 unt;   8 typ;   0 def)
%            Number of atoms       :   42 (  25 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  166 (   8   ~;   5   |;   0   &; 151   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   43 (   0   ^;  43   !;   0   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
thf(multiplication_type,type,
    multiplication: $i > $i > $i ).

thf(star_type,type,
    star: $i > $i ).

thf(one_type,type,
    one: $i ).

thf(addition_type,type,
    addition: $i > $i > $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(strong_iteration_type,type,
    strong_iteration: $i > $i ).

thf(zero_type,type,
    zero: $i ).

thf(sk__type,type,
    sk_: $i ).

thf(goals,conjecture,
    ! [X0: $i] : ( leq @ X0 @ ( strong_iteration @ one ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X0: $i] : ( leq @ X0 @ ( strong_iteration @ one ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl19,plain,
    ~ ( leq @ sk_ @ ( strong_iteration @ one ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(left_annihilation,axiom,
    ! [A: $i] :
      ( ( multiplication @ zero @ A )
      = zero ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( multiplication @ zero @ X0 )
      = zero ),
    inference(cnf,[status(esa)],[left_annihilation]) ).

thf(star_unfold1,axiom,
    ! [A: $i] :
      ( ( addition @ one @ ( multiplication @ A @ ( star @ A ) ) )
      = ( star @ A ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ( addition @ one @ ( multiplication @ X0 @ ( star @ X0 ) ) )
      = ( star @ X0 ) ),
    inference(cnf,[status(esa)],[star_unfold1]) ).

thf(zip_derived_cl122,plain,
    ( ( addition @ one @ zero )
    = ( star @ zero ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl10]) ).

thf(additive_identity,axiom,
    ! [A: $i] :
      ( ( addition @ A @ zero )
      = A ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ zero )
      = X0 ),
    inference(cnf,[status(esa)],[additive_identity]) ).

thf(zip_derived_cl128,plain,
    ( ( star @ zero )
    = one ),
    inference('sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl2]) ).

thf(zip_derived_cl134,plain,
    ~ ( leq @ sk_ @ ( strong_iteration @ ( star @ zero ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl128]) ).

thf(multiplicative_right_identity,axiom,
    ! [A: $i] :
      ( ( multiplication @ A @ one )
      = A ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ one )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_right_identity]) ).

thf(zip_derived_cl128_001,plain,
    ( ( star @ zero )
    = one ),
    inference('sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl2]) ).

thf(zip_derived_cl131,plain,
    ! [X0: $i] :
      ( ( multiplication @ X0 @ ( star @ zero ) )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl128]) ).

thf(order,axiom,
    ! [A: $i,B: $i] :
      ( ( leq @ A @ B )
    <=> ( ( addition @ A @ B )
        = B ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( ( addition @ X0 @ X1 )
       != X1 ) ),
    inference(cnf,[status(esa)],[order]) ).

thf(multiplicative_left_identity,axiom,
    ! [A: $i] :
      ( ( multiplication @ one @ A )
      = A ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( ( multiplication @ one @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[multiplicative_left_identity]) ).

thf(zip_derived_cl128_002,plain,
    ( ( star @ zero )
    = one ),
    inference('sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl2]) ).

thf(zip_derived_cl132,plain,
    ! [X0: $i] :
      ( ( multiplication @ ( star @ zero ) @ X0 )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl128]) ).

thf(infty_coinduction,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( leq @ C @ ( addition @ ( multiplication @ A @ C ) @ B ) )
     => ( leq @ C @ ( multiplication @ ( strong_iteration @ A ) @ B ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leq @ X0 @ ( multiplication @ ( strong_iteration @ X1 ) @ X2 ) )
      | ~ ( leq @ X0 @ ( addition @ ( multiplication @ X1 @ X0 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[infty_coinduction]) ).

thf(zip_derived_cl154,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ ( addition @ X0 @ X1 ) )
      | ( leq @ X0 @ ( multiplication @ ( strong_iteration @ ( star @ zero ) ) @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl15]) ).

thf(zip_derived_cl392,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ X1 @ ( addition @ X1 @ X0 ) )
       != ( addition @ X1 @ X0 ) )
      | ( leq @ X1 @ ( multiplication @ ( strong_iteration @ ( star @ zero ) ) @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl154]) ).

thf(idempotence,axiom,
    ! [A: $i] :
      ( ( addition @ A @ A )
      = A ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( addition @ X0 @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[idempotence]) ).

thf(additive_associativity,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( addition @ A @ ( addition @ B @ C ) )
      = ( addition @ ( addition @ A @ B ) @ C ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( addition @ X0 @ ( addition @ X1 @ X2 ) )
      = ( addition @ ( addition @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[additive_associativity]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i,X1: $i] :
      ( ( addition @ X0 @ ( addition @ X0 @ X1 ) )
      = ( addition @ X0 @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl408,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( addition @ X1 @ X0 )
       != ( addition @ X1 @ X0 ) )
      | ( leq @ X1 @ ( multiplication @ ( strong_iteration @ ( star @ zero ) ) @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl392,zip_derived_cl110]) ).

thf(zip_derived_cl409,plain,
    ! [X0: $i,X1: $i] : ( leq @ X1 @ ( multiplication @ ( strong_iteration @ ( star @ zero ) ) @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl408]) ).

thf(zip_derived_cl581,plain,
    ! [X0: $i] : ( leq @ X0 @ ( strong_iteration @ ( star @ zero ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl131,zip_derived_cl409]) ).

thf(zip_derived_cl582,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl581]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : KLE137+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OKJtaKC0CY true
% 0.13/0.34  % Computer : n003.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 : Tue Aug 29 11:15:25 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
% 0.48/0.61  % Total configuration time : 435
% 0.48/0.61  % Estimated wc time : 1092
% 0.48/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.81  % Solved by fo/fo7.sh.
% 0.55/0.81  % done 147 iterations in 0.068s
% 0.55/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.81  % SZS output start Refutation
% See solution above
% 0.55/0.81  
% 0.55/0.81  
% 0.55/0.81  % Terminating...
% 1.67/0.93  % Runner terminated.
% 1.67/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------