%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP175^1 : 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.5FDLN1zhh8 true

% Computer : n010.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 05:22:39 EDT 2023

% Result   : Theorem 1.36s 0.85s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   25 (   7 unt;  16 typ;   0 def)
%            Number of atoms       :   13 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   76 (   4   ~;   1   |;   2   &;  68   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_b_type,type,
    set_b: $tType ).

thf(labeled_graph_a_b_type,type,
    labeled_graph_a_b: $tType ).

thf(set_Product_prod_b_b_type,type,
    set_Product_prod_b_b: $tType ).

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

thf(product_prod_b_b_type,type,
    product_prod_b_b: $tType ).

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

thf(i_type,type,
    i: a ).

thf(product_Pair_b_b_type,type,
    product_Pair_b_b: b > b > product_prod_b_b ).

thf(labeled_vertices_a_b_type,type,
    labeled_vertices_a_b: labeled_graph_a_b > set_b ).

thf(trans_b_type,type,
    trans_b: set_Product_prod_b_b > $o ).

thf(g_type,type,
    g: labeled_graph_a_b ).

thf(refl_on_b_type,type,
    refl_on_b: set_b > set_Product_prod_b_b > $o ).

thf(getRel_a_b_type,type,
    getRel_a_b: a > labeled_graph_a_b > set_Product_prod_b_b ).

thf(z_type,type,
    z: b ).

thf(y_type,type,
    y: b ).

thf(member1285940496od_b_b_type,type,
    member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o ).

thf(fact_0__092_060open_062refl__on_A_Ivertices_AG_J_A_IgetRel_AI_AG_J_A_092_060and_062_A_I_092_060forall_062x_Ay_O_A_Ix_M_Ay_J_A_092_060in_062_AgetRel_AI_AG_A_092_060longrightarrow_062_A_Iy_M_Ax_J_A_092_060in_062_AgetRel_AI_AG_J_A_092_060and_062_Atrans_A_IgetRel_AI_AG_J_092_060close_062,axiom,
    ( ( trans_b @ ( getRel_a_b @ i @ g ) )
    & ! [X: b,Y: b] :
        ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X @ Y ) @ ( getRel_a_b @ i @ g ) )
       => ( member1285940496od_b_b @ ( product_Pair_b_b @ Y @ X ) @ ( getRel_a_b @ i @ g ) ) )
    & ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: b,X1: b] :
      ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X0 @ X1 ) @ ( getRel_a_b @ i @ g ) )
      | ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ X1 @ X0 ) @ ( getRel_a_b @ i @ g ) ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062refl__on_A_Ivertices_AG_J_A_IgetRel_AI_AG_J_A_092_060and_062_A_I_092_060forall_062x_Ay_O_A_Ix_M_Ay_J_A_092_060in_062_AgetRel_AI_AG_A_092_060longrightarrow_062_A_Iy_M_Ax_J_A_092_060in_062_AgetRel_AI_AG_J_A_092_060and_062_Atrans_A_IgetRel_AI_AG_J_092_060close_062]) ).

thf(conj_0,conjecture,
    member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl24,plain,
    ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl24]) ).

thf(fact_1_aI,axiom,
    member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ) ).

thf(zip_derived_cl3,plain,
    member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ),
    inference(cnf,[status(esa)],[fact_1_aI]) ).

thf(zip_derived_cl78,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP175^1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5FDLN1zhh8 true
% 0.13/0.37  % Computer : n010.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Sun Aug 27 13:47:34 EDT 2023
% 0.13/0.37  % CPUTime  : 
% 0.13/0.37  % Running portfolio for 300 s
% 0.13/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  % Number of cores: 8
% 0.13/0.37  % Python version: Python 3.6.8
% 0.13/0.38  % Running in HO mode
% 0.23/0.64  % Total configuration time : 828
% 0.23/0.64  % Estimated wc time : 1656
% 0.23/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.17/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.17/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.17/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.17/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.17/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.17/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.36/0.85  % Solved by lams/40_c_ic.sh.
% 1.36/0.85  % done 12 iterations in 0.042s
% 1.36/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.85  % SZS output start Refutation
% See solution above
% 1.36/0.85  
% 1.36/0.85  
% 1.36/0.85  % Terminating...
% 2.06/0.96  % Runner terminated.
% 2.06/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------