%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP113^1 : 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.o8XQ3Gsxzs true

% Computer : n004.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 05:22:15 EDT 2023

% Result   : Theorem 29.40s 4.46s
% Output   : Refutation 29.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   27 (   5 unt;  17 typ;   0 def)
%            Number of atoms       :   22 (   2 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   72 (   2   ~;   0   |;   4   &;  58   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  11 usr;   8 con; 0-2 aty)
%                                         (   3  !!;   3  ??;   0 @@+;   0 @@-)
%            Number of variables   :   12 (   6   ^;   3   !;   3   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(product_prod_a_real_type,type,
    product_prod_a_real: $tType ).

thf(set_Pr1928503567a_real_type,type,
    set_Pr1928503567a_real: $tType ).

thf(set_a_type,type,
    set_a: $tType ).

thf(real_type,type,
    real: $tType ).

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

thf(lower_930854854raph_a_type,type,
    lower_930854854raph_a: set_a > ( a > extended_ereal ) > set_Pr1928503567a_real ).

thf(real_V404783528a_real_type,type,
    real_V404783528a_real: product_prod_a_real > product_prod_a_real > real ).

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

thf(top_top_set_a_type,type,
    top_top_set_a: set_a ).

thf(member1103263856a_real_type,type,
    member1103263856a_real: product_prod_a_real > set_Pr1928503567a_real > $o ).

thf(thesis_type,type,
    thesis: $o ).

thf(y_type,type,
    y: real ).

thf(product_Pair_a_real_type,type,
    product_Pair_a_real: a > real > product_prod_a_real ).

thf(e_type,type,
    e: real ).

thf(extended_ereal_type,type,
    extended_ereal: $tType ).

thf(x_type,type,
    x: a ).

thf(ord_less_real_type,type,
    ord_less_real: real > real > $o ).

thf(fact_0__092_060open_062_092_060exists_062ya_092_060in_062Epigraph_AUNIV_Af_O_Adist_Aya_A_Ix_M_Ay_J_A_060_Ae_092_060close_062,axiom,
    ? [X: product_prod_a_real] :
      ( ( member1103263856a_real @ X @ ( lower_930854854raph_a @ top_top_set_a @ f ) )
      & ( ord_less_real @ ( real_V404783528a_real @ X @ ( product_Pair_a_real @ x @ y ) ) @ e ) ) ).

thf(zip_derived_cl0,plain,
    ( ??
    @ ^ [Y0: product_prod_a_real] :
        ( ( member1103263856a_real @ Y0 @ ( lower_930854854raph_a @ top_top_set_a @ f ) )
        & ( ord_less_real @ ( real_V404783528a_real @ Y0 @ ( product_Pair_a_real @ x @ y ) ) @ e ) ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062_092_060exists_062ya_092_060in_062Epigraph_AUNIV_Af_O_Adist_Aya_A_Ix_M_Ay_J_A_060_Ae_092_060close_062]) ).

thf(fact_286_surj__pair,axiom,
    ! [P4: product_prod_a_real] :
    ? [X: a,Y3: real] :
      ( P4
      = ( product_Pair_a_real @ X @ Y3 ) ) ).

thf(zip_derived_cl286,plain,
    ( !!
    @ ^ [Y0: product_prod_a_real] :
        ( ??
        @ ^ [Y1: a] :
            ( ??
            @ ^ [Y2: real] :
                ( Y0
                = ( product_Pair_a_real @ Y1 @ Y2 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_286_surj__pair]) ).

thf(conj_1,conjecture,
    thesis ).

thf(zf_stmt_0,negated_conjecture,
    ~ thesis,
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl345,plain,
    ~ thesis,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conj_0,axiom,
    ! [A6: a,B5: real] :
      ( ( ( ord_less_real @ ( real_V404783528a_real @ ( product_Pair_a_real @ A6 @ B5 ) @ ( product_Pair_a_real @ x @ y ) ) @ e )
        & ( member1103263856a_real @ ( product_Pair_a_real @ A6 @ B5 ) @ ( lower_930854854raph_a @ top_top_set_a @ f ) ) )
     => thesis ) ).

thf(zip_derived_cl344,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: real] :
            ( ( ( ord_less_real @ ( real_V404783528a_real @ ( product_Pair_a_real @ Y0 @ Y1 ) @ ( product_Pair_a_real @ x @ y ) ) @ e )
              & ( member1103263856a_real @ ( product_Pair_a_real @ Y0 @ Y1 ) @ ( lower_930854854raph_a @ top_top_set_a @ f ) ) )
           => thesis ) ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl4901,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl286,zip_derived_cl345,zip_derived_cl344]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP113^1 : TPTP v8.1.2. Released v7.5.0.
% 0.15/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.o8XQ3Gsxzs true
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun Aug 27 12:20:37 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.22/0.69  % Total configuration time : 828
% 0.22/0.69  % Estimated wc time : 1656
% 0.22/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.88/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.88/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.88/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.88/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.88/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.42/0.84  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 29.40/4.46  % Solved by lams/15_e_short1.sh.
% 29.40/4.46  % done 308 iterations in 3.663s
% 29.40/4.46  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 29.40/4.46  % SZS output start Refutation
% See solution above
% 29.40/4.46  
% 29.40/4.46  
% 29.40/4.46  % Terminating...
% 29.72/4.54  % Runner terminated.
% 29.72/4.56  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------