%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : DAT056^1 : TPTP v8.1.2. Released v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7bdBYR7tef true

% Computer : n028.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 : Wed Aug 30 22:25:44 EDT 2023

% Result   : Theorem 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   36 (  16 unt;  14 typ;   0 def)
%            Number of atoms       :   34 (  33 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  259 (   9   ~;   9   |;   0   &; 238   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;  11 con; 0-2 aty)
%            Number of variables   :   58 (   0   ^;  58   !;   0   ?;  58   :)

% Comments : 
%------------------------------------------------------------------------------
thf(lst_type,type,
    lst: $tType ).

thf(a_type,type,
    a: $tType ).

thf(sk__type,type,
    sk_: a ).

thf(sk__4_type,type,
    sk__4: lst ).

thf(nl_type,type,
    nl: lst ).

thf(sk__1_type,type,
    sk__1: lst ).

thf(ap_type,type,
    ap: lst > lst > lst ).

thf(sk__5_type,type,
    sk__5: lst ).

thf(xs_type,type,
    xs: lst ).

thf(cns_type,type,
    cns: a > lst > lst ).

thf(sk__3_type,type,
    sk__3: lst ).

thf(sk__6_type,type,
    sk__6: lst ).

thf(sk__2_type,type,
    sk__2: lst ).

thf(sk__7_type,type,
    sk__7: lst ).

thf(conj_0,conjecture,
    ! [Ys: lst,Zs: lst] :
      ( ( ap @ xs @ ( ap @ Ys @ Zs ) )
      = ( ap @ ( ap @ xs @ Ys ) @ Zs ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Ys: lst,Zs: lst] :
        ( ( ap @ xs @ ( ap @ Ys @ Zs ) )
        = ( ap @ ( ap @ xs @ Ys ) @ Zs ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl4,plain,
    ( ( ap @ xs @ ( ap @ sk__6 @ sk__7 ) )
   != ( ap @ ( ap @ xs @ sk__6 ) @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_0_lst_Oinduct_091where_AP_A_061_A_C_Fxs_O_AALL_Ays_Azs_O_Aap_Axs_A_Iap_Ays_Azs_J_A_061_Aap_A_Iap_Axs_Ays_J_Azs_C_093,axiom,
    ! [Lst: lst] :
      ( ! [Ys: lst,Zs: lst] :
          ( ( ap @ nl @ ( ap @ Ys @ Zs ) )
          = ( ap @ ( ap @ nl @ Ys ) @ Zs ) )
     => ( ! [A: a,Lst2: lst] :
            ( ! [Ys3: lst,Zs2: lst] :
                ( ( ap @ Lst2 @ ( ap @ Ys3 @ Zs2 ) )
                = ( ap @ ( ap @ Lst2 @ Ys3 ) @ Zs2 ) )
           => ! [Ys: lst,Zs: lst] :
                ( ( ap @ ( cns @ A @ Lst2 ) @ ( ap @ Ys @ Zs ) )
                = ( ap @ ( ap @ ( cns @ A @ Lst2 ) @ Ys ) @ Zs ) ) )
       => ! [Ys3: lst,Zs2: lst] :
            ( ( ap @ Lst @ ( ap @ Ys3 @ Zs2 ) )
            = ( ap @ ( ap @ Lst @ Ys3 ) @ Zs2 ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: lst,X1: lst,X2: lst] :
      ( ( ( ap @ ( cns @ sk_ @ sk__1 ) @ ( ap @ sk__2 @ sk__3 ) )
       != ( ap @ ( ap @ ( cns @ sk_ @ sk__1 ) @ sk__2 ) @ sk__3 ) )
      | ( ( ap @ nl @ ( ap @ sk__4 @ sk__5 ) )
       != ( ap @ ( ap @ nl @ sk__4 ) @ sk__5 ) )
      | ( ( ap @ X0 @ ( ap @ X1 @ X2 ) )
        = ( ap @ ( ap @ X0 @ X1 ) @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_0_lst_Oinduct_091where_AP_A_061_A_C_Fxs_O_AALL_Ays_Azs_O_Aap_Axs_A_Iap_Ays_Azs_J_A_061_Aap_A_Iap_Axs_Ays_J_Azs_C_093]) ).

thf(fact_1p_Osimps_I2_J,axiom,
    ! [Ys2: lst,Xs: lst,X: a] :
      ( ( ap @ ( cns @ X @ Xs ) @ Ys2 )
      = ( cns @ X @ ( ap @ Xs @ Ys2 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: a,X1: lst,X2: lst] :
      ( ( ap @ ( cns @ X0 @ X1 ) @ X2 )
      = ( cns @ X0 @ ( ap @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_1p_Osimps_I2_J]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: a,X1: lst,X2: lst] :
      ( ( ap @ ( cns @ X0 @ X1 ) @ X2 )
      = ( cns @ X0 @ ( ap @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_1p_Osimps_I2_J]) ).

thf(zip_derived_cl2_002,plain,
    ! [X0: a,X1: lst,X2: lst] :
      ( ( ap @ ( cns @ X0 @ X1 ) @ X2 )
      = ( cns @ X0 @ ( ap @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_1p_Osimps_I2_J]) ).

thf(zip_derived_cl1,plain,
    ! [X0: lst,X1: lst,X2: lst,X3: lst,X4: lst] :
      ( ( ( ap @ sk__1 @ ( ap @ X0 @ X1 ) )
        = ( ap @ ( ap @ sk__1 @ X0 ) @ X1 ) )
      | ( ( ap @ nl @ ( ap @ sk__4 @ sk__5 ) )
       != ( ap @ ( ap @ nl @ sk__4 ) @ sk__5 ) )
      | ( ( ap @ X2 @ ( ap @ X3 @ X4 ) )
        = ( ap @ ( ap @ X2 @ X3 ) @ X4 ) ) ),
    inference(cnf,[status(esa)],[fact_0_lst_Oinduct_091where_AP_A_061_A_C_Fxs_O_AALL_Ays_Azs_O_Aap_Axs_A_Iap_Ays_Azs_J_A_061_Aap_A_Iap_Axs_Ays_J_Azs_C_093]) ).

thf(fact_2p_Osimps_I1_J,axiom,
    ! [Ys2: lst] :
      ( ( ap @ nl @ Ys2 )
      = Ys2 ) ).

thf(zip_derived_cl3,plain,
    ! [X0: lst] :
      ( ( ap @ nl @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_2p_Osimps_I1_J]) ).

thf(zip_derived_cl3_003,plain,
    ! [X0: lst] :
      ( ( ap @ nl @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_2p_Osimps_I1_J]) ).

thf(zip_derived_cl5,plain,
    ! [X0: lst,X1: lst,X2: lst,X3: lst,X4: lst] :
      ( ( ( ap @ sk__1 @ ( ap @ X0 @ X1 ) )
        = ( ap @ ( ap @ sk__1 @ X0 ) @ X1 ) )
      | ( ( ap @ sk__4 @ sk__5 )
       != ( ap @ sk__4 @ sk__5 ) )
      | ( ( ap @ X2 @ ( ap @ X3 @ X4 ) )
        = ( ap @ ( ap @ X2 @ X3 ) @ X4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl3,zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X0: lst,X1: lst,X2: lst,X3: lst,X4: lst] :
      ( ( ( ap @ X2 @ ( ap @ X3 @ X4 ) )
        = ( ap @ ( ap @ X2 @ X3 ) @ X4 ) )
      | ( ( ap @ sk__1 @ ( ap @ X0 @ X1 ) )
        = ( ap @ ( ap @ sk__1 @ X0 ) @ X1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X0: lst,X1: lst] :
      ( ( ap @ sk__1 @ ( ap @ X1 @ X0 ) )
      = ( ap @ ( ap @ sk__1 @ X1 ) @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl3_004,plain,
    ! [X0: lst] :
      ( ( ap @ nl @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_2p_Osimps_I1_J]) ).

thf(zip_derived_cl3_005,plain,
    ! [X0: lst] :
      ( ( ap @ nl @ X0 )
      = X0 ),
    inference(cnf,[status(esa)],[fact_2p_Osimps_I1_J]) ).

thf(zip_derived_cl8,plain,
    ! [X0: lst,X1: lst,X2: lst] :
      ( ( ( cns @ sk_ @ ( ap @ sk__1 @ ( ap @ sk__2 @ sk__3 ) ) )
       != ( cns @ sk_ @ ( ap @ sk__1 @ ( ap @ sk__2 @ sk__3 ) ) ) )
      | ( ( ap @ sk__4 @ sk__5 )
       != ( ap @ sk__4 @ sk__5 ) )
      | ( ( ap @ X0 @ ( ap @ X1 @ X2 ) )
        = ( ap @ ( ap @ X0 @ X1 ) @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl2,zip_derived_cl2,zip_derived_cl2,zip_derived_cl7,zip_derived_cl3,zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ! [X0: lst,X1: lst,X2: lst] :
      ( ( ap @ X0 @ ( ap @ X1 @ X2 ) )
      = ( ap @ ( ap @ X0 @ X1 ) @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ( ( ap @ xs @ ( ap @ sk__6 @ sk__7 ) )
   != ( ap @ xs @ ( ap @ sk__6 @ sk__7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl9]) ).

thf(zip_derived_cl11,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : DAT056^1 : TPTP v8.1.2. Released v5.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7bdBYR7tef true
% 0.13/0.34  % Computer : n028.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 : Thu Aug 24 15:03:35 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 HO mode
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.77  % Solved by lams/40_noforms.sh.
% 0.21/0.77  % done 4 iterations in 0.009s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% See solution above
% 0.21/0.78  
% 0.21/0.78  
% 0.21/0.78  % Terminating...
% 1.30/0.85  % Runner terminated.
% 1.74/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------