%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP098^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vuObp0JVYQ true

% Computer : n022.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 05:22:09 EDT 2023

% Result   : Theorem 1.49s 1.41s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   33 (   9 unt;  13 typ;   0 def)
%            Number of atoms       :   46 (  28 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  182 (  10   ~;   8   |;   0   &; 146   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :   43 (  43   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   8 usr;   3 con; 0-3 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   27 (   6   ^;  21   !;   0   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_a_type,type,
    set_a: $tType ).

thf(set_c_type,type,
    set_c: $tType ).

thf(top_top_set_c_type,type,
    top_top_set_c: set_c ).

thf(b_type,type,
    b: $tType ).

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

thf(c_type,type,
    c: $tType ).

thf(image_c_a_type,type,
    image_c_a: ( c > a ) > set_c > set_a ).

thf(h_type,type,
    h: c > a ).

thf(inj_on_a_b_type,type,
    inj_on_a_b: ( a > b ) > set_a > $o ).

thf(sup_sup_set_a_type,type,
    sup_sup_set_a: set_a > set_a > set_a ).

thf(g_type,type,
    g: c > a ).

thf(f_type,type,
    f: a > b ).

thf(comp_a_b_c_type,type,
    comp_a_b_c: ( a > b ) > ( c > a ) > c > b ).

thf(conj_0,axiom,
    inj_on_a_b @ f @ ( sup_sup_set_a @ ( image_c_a @ g @ top_top_set_c ) @ ( image_c_a @ h @ top_top_set_c ) ) ).

thf(zip_derived_cl353,plain,
    inj_on_a_b @ f @ ( sup_sup_set_a @ ( image_c_a @ g @ top_top_set_c ) @ ( image_c_a @ h @ top_top_set_c ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(fact_8_o__inj__on,axiom,
    ! [F: a > b,G: c > a,H: c > a] :
      ( ( ( comp_a_b_c @ F @ G )
        = ( comp_a_b_c @ F @ H ) )
     => ( ( inj_on_a_b @ F @ ( sup_sup_set_a @ ( image_c_a @ G @ top_top_set_c ) @ ( image_c_a @ H @ top_top_set_c ) ) )
       => ( G = H ) ) ) ).

thf(zip_derived_cl8,plain,
    ( !!
    @ ^ [Y0: a > b] :
        ( !!
        @ ^ [Y1: c > a] :
            ( !!
            @ ^ [Y2: c > a] :
                ( ( ( comp_a_b_c @ Y0 @ Y1 )
                  = ( comp_a_b_c @ Y0 @ Y2 ) )
               => ( ( inj_on_a_b @ Y0 @ ( sup_sup_set_a @ ( image_c_a @ Y1 @ top_top_set_c ) @ ( image_c_a @ Y2 @ top_top_set_c ) ) )
                 => ( Y1 = Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_8_o__inj__on]) ).

thf(zip_derived_cl1261,plain,
    ! [X2: a > b] :
      ( !!
      @ ^ [Y0: c > a] :
          ( !!
          @ ^ [Y1: c > a] :
              ( ( ( comp_a_b_c @ X2 @ Y0 )
                = ( comp_a_b_c @ X2 @ Y1 ) )
             => ( ( inj_on_a_b @ X2 @ ( sup_sup_set_a @ ( image_c_a @ Y0 @ top_top_set_c ) @ ( image_c_a @ Y1 @ top_top_set_c ) ) )
               => ( Y0 = Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl1262,plain,
    ! [X2: a > b,X4: c > a] :
      ( !!
      @ ^ [Y0: c > a] :
          ( ( ( comp_a_b_c @ X2 @ X4 )
            = ( comp_a_b_c @ X2 @ Y0 ) )
         => ( ( inj_on_a_b @ X2 @ ( sup_sup_set_a @ ( image_c_a @ X4 @ top_top_set_c ) @ ( image_c_a @ Y0 @ top_top_set_c ) ) )
           => ( X4 = Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1261]) ).

thf(zip_derived_cl1263,plain,
    ! [X2: a > b,X4: c > a,X6: c > a] :
      ( ( ( comp_a_b_c @ X2 @ X4 )
        = ( comp_a_b_c @ X2 @ X6 ) )
     => ( ( inj_on_a_b @ X2 @ ( sup_sup_set_a @ ( image_c_a @ X4 @ top_top_set_c ) @ ( image_c_a @ X6 @ top_top_set_c ) ) )
       => ( X4 = X6 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1262]) ).

thf(zip_derived_cl1264,plain,
    ! [X2: a > b,X4: c > a,X6: c > a] :
      ( ( ( comp_a_b_c @ X2 @ X4 )
       != ( comp_a_b_c @ X2 @ X6 ) )
      | ( ( inj_on_a_b @ X2 @ ( sup_sup_set_a @ ( image_c_a @ X4 @ top_top_set_c ) @ ( image_c_a @ X6 @ top_top_set_c ) ) )
       => ( X4 = X6 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1263]) ).

thf(zip_derived_cl1265,plain,
    ! [X2: a > b,X4: c > a,X6: c > a] :
      ( ( ( comp_a_b_c @ X2 @ X4 )
       != ( comp_a_b_c @ X2 @ X6 ) )
      | ( ( inj_on_a_b @ X2 @ ( sup_sup_set_a @ ( image_c_a @ X4 @ top_top_set_c ) @ ( image_c_a @ X6 @ top_top_set_c ) ) )
       => ( X4 = X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1264]) ).

thf(zip_derived_cl1266,plain,
    ! [X2: a > b,X4: c > a,X6: c > a] :
      ( ~ ( inj_on_a_b @ X2 @ ( sup_sup_set_a @ ( image_c_a @ X4 @ top_top_set_c ) @ ( image_c_a @ X6 @ top_top_set_c ) ) )
      | ( X4 = X6 )
      | ( ( comp_a_b_c @ X2 @ X4 )
       != ( comp_a_b_c @ X2 @ X6 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1265]) ).

thf(zip_derived_cl1267,plain,
    ! [X2: a > b,X4: c > a,X6: c > a] :
      ( ~ ( inj_on_a_b @ X2 @ ( sup_sup_set_a @ ( image_c_a @ X4 @ top_top_set_c ) @ ( image_c_a @ X6 @ top_top_set_c ) ) )
      | ( X4 = X6 )
      | ( ( comp_a_b_c @ X2 @ X4 )
       != ( comp_a_b_c @ X2 @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1266]) ).

thf(zip_derived_cl1282,plain,
    ( ( ( comp_a_b_c @ f @ g )
     != ( comp_a_b_c @ f @ h ) )
    | ( g = h ) ),
    inference('sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl1267]) ).

thf(conj_1,axiom,
    ( ( comp_a_b_c @ f @ g )
    = ( comp_a_b_c @ f @ h ) ) ).

thf(zip_derived_cl354,plain,
    ( ( comp_a_b_c @ f @ g )
    = ( comp_a_b_c @ f @ h ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl1315,plain,
    ( ( ( comp_a_b_c @ f @ g )
     != ( comp_a_b_c @ f @ g ) )
    | ( g = h ) ),
    inference(demod,[status(thm)],[zip_derived_cl1282,zip_derived_cl354]) ).

thf(zip_derived_cl1316,plain,
    g = h,
    inference(simplify,[status(thm)],[zip_derived_cl1315]) ).

thf(conj_2,conjecture,
    g = h ).

thf(zf_stmt_0,negated_conjecture,
    g != h,
    inference('cnf.neg',[status(esa)],[conj_2]) ).

thf(zip_derived_cl355,plain,
    g != h,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1317,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1316,zip_derived_cl355]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP098^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vuObp0JVYQ true
% 0.14/0.35  % Computer : n022.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 : Sun Aug 27 15:58:24 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
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.27/0.83  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.49/0.94  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 1.49/1.41  % Solved by lams/35_full_unif4.sh.
% 1.49/1.41  % done 116 iterations in 0.625s
% 1.49/1.41  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.49/1.41  % SZS output start Refutation
% See solution above
% 1.49/1.41  
% 1.49/1.41  
% 1.49/1.41  % Terminating...
% 5.83/1.50  % Runner terminated.
% 5.83/1.51  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------