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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU408+1 : TPTP v9.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.x3885HgtAo true

% Computer : n001.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 Oct  2 04:54:30 PM UTC 2025

% Result   : Theorem 0.58s 0.98s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   86 (  11 equ;   0 cnn)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  285 (  32   ~;  25   |;  24   &; 190   @)
%                                         (   3 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   4 con; 0-6 aty)
%            Number of variables   :   39 (   0   ^;  39   !;   0   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v4_orders_2_type,type,
    v4_orders_2: $i > $o ).

thf(v3_struct_0_type,type,
    v3_struct_0: $i > $o ).

thf(v1_lattice3_type,type,
    v1_lattice3: $i > $o ).

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

thf(l1_orders_2_type,type,
    l1_orders_2: $i > $o ).

thf(v2_orders_2_type,type,
    v2_orders_2: $i > $o ).

thf(k2_xboole_0_type,type,
    k2_xboole_0: $i > $i > $i ).

thf(u1_struct_0_type,type,
    u1_struct_0: $i > $i ).

thf(u1_orders_2_type,type,
    u1_orders_2: $i > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(v1_orders_2_type,type,
    v1_orders_2: $i > $o ).

thf(v3_orders_2_type,type,
    v3_orders_2: $i > $o ).

thf(k7_relset_1_type,type,
    k7_relset_1: $i > $i > $i > $i > $i > $i > $i ).

thf(k1_latsum_1_type,type,
    k1_latsum_1: $i > $i > $i ).

thf(m1_subset_1_type,type,
    m1_subset_1: $i > $i > $o ).

thf(r2_hidden_type,type,
    r2_hidden: $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(d2_latsum_1,axiom,
    ! [A: $i] :
      ( ( l1_orders_2 @ A )
     => ! [B: $i] :
          ( ( l1_orders_2 @ B )
         => ! [C: $i] :
              ( ( ( v1_orders_2 @ C )
                & ( l1_orders_2 @ C ) )
             => ( ( C
                  = ( k1_latsum_1 @ A @ B ) )
              <=> ( ( ( u1_struct_0 @ C )
                    = ( k2_xboole_0 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
                  & ( ( u1_orders_2 @ C )
                    = ( k2_xboole_0 @ ( k2_xboole_0 @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) @ ( k7_relset_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) @ ( u1_orders_2 @ A ) @ ( u1_orders_2 @ B ) ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( l1_orders_2 @ X0 )
      | ( X2
       != ( k1_latsum_1 @ X1 @ X0 ) )
      | ( ( u1_struct_0 @ X2 )
        = ( k2_xboole_0 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) ) )
      | ~ ( l1_orders_2 @ X2 )
      | ~ ( v1_orders_2 @ X2 )
      | ~ ( l1_orders_2 @ X1 ) ),
    inference(cnf,[status(esa)],[d2_latsum_1]) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_orders_2 @ X0 )
      | ~ ( v1_orders_2 @ ( k1_latsum_1 @ X0 @ X1 ) )
      | ~ ( l1_orders_2 @ ( k1_latsum_1 @ X0 @ X1 ) )
      | ( ( u1_struct_0 @ ( k1_latsum_1 @ X0 @ X1 ) )
        = ( k2_xboole_0 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( l1_orders_2 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl18]) ).

thf(dt_k1_latsum_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( l1_orders_2 @ A )
        & ( l1_orders_2 @ B ) )
     => ( ( v1_orders_2 @ ( k1_latsum_1 @ A @ B ) )
        & ( l1_orders_2 @ ( k1_latsum_1 @ A @ B ) ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_orders_2 @ X0 )
      | ~ ( l1_orders_2 @ X1 )
      | ( v1_orders_2 @ ( k1_latsum_1 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k1_latsum_1]) ).

thf(zip_derived_cl615,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_orders_2 @ X1 )
      | ( ( u1_struct_0 @ ( k1_latsum_1 @ X0 @ X1 ) )
        = ( k2_xboole_0 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( l1_orders_2 @ ( k1_latsum_1 @ X0 @ X1 ) )
      | ~ ( l1_orders_2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl122,zip_derived_cl30]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_orders_2 @ X0 )
      | ~ ( l1_orders_2 @ X1 )
      | ( l1_orders_2 @ ( k1_latsum_1 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k1_latsum_1]) ).

thf(zip_derived_cl616,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_orders_2 @ X0 )
      | ( ( u1_struct_0 @ ( k1_latsum_1 @ X0 @ X1 ) )
        = ( k2_xboole_0 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( l1_orders_2 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl615,zip_derived_cl29]) ).

thf(t1_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( r2_hidden @ A @ B )
     => ( m1_subset_1 @ A @ B ) ) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i] :
      ( ( m1_subset_1 @ X0 @ X1 )
      | ~ ( r2_hidden @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t1_subset]) ).

thf(t11_latsum_1,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_orders_2 @ A )
        & ( v3_orders_2 @ A )
        & ( v4_orders_2 @ A )
        & ( v1_lattice3 @ A )
        & ( l1_orders_2 @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v2_orders_2 @ B )
            & ( v3_orders_2 @ B )
            & ( v4_orders_2 @ B )
            & ( v1_lattice3 @ B )
            & ( l1_orders_2 @ B ) )
         => ! [C: $i] :
              ( ( r2_hidden @ C @ ( u1_struct_0 @ B ) )
             => ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v2_orders_2 @ A )
          & ( v3_orders_2 @ A )
          & ( v4_orders_2 @ A )
          & ( v1_lattice3 @ A )
          & ( l1_orders_2 @ A ) )
       => ! [B: $i] :
            ( ( ~ ( v3_struct_0 @ B )
              & ( v2_orders_2 @ B )
              & ( v3_orders_2 @ B )
              & ( v4_orders_2 @ B )
              & ( v1_lattice3 @ B )
              & ( l1_orders_2 @ B ) )
           => ! [C: $i] :
                ( ( r2_hidden @ C @ ( u1_struct_0 @ B ) )
               => ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k1_latsum_1 @ A @ B ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t11_latsum_1]) ).

thf(zip_derived_cl7,plain,
    ~ ( m1_subset_1 @ sk__2 @ ( u1_struct_0 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94,plain,
    ~ ( r2_hidden @ sk__2 @ ( u1_struct_0 @ ( k1_latsum_1 @ sk_ @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl7]) ).

thf(zip_derived_cl629,plain,
    ( ~ ( l1_orders_2 @ sk__1 )
    | ~ ( l1_orders_2 @ sk_ )
    | ~ ( r2_hidden @ sk__2 @ ( k2_xboole_0 @ ( u1_struct_0 @ sk_ ) @ ( u1_struct_0 @ sk__1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl616,zip_derived_cl94]) ).

thf(zip_derived_cl8,plain,
    l1_orders_2 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    l1_orders_2 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    r2_hidden @ sk__2 @ ( u1_struct_0 @ sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d2_xboole_0,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( k2_xboole_0 @ A @ B ) )
    <=> ! [D: $i] :
          ( ( r2_hidden @ D @ C )
        <=> ( ( r2_hidden @ D @ A )
            | ( r2_hidden @ D @ B ) ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r2_hidden @ X0 @ X1 )
      | ( r2_hidden @ X0 @ X2 )
      | ( X2
       != ( k2_xboole_0 @ X3 @ X1 ) ) ),
    inference(cnf,[status(esa)],[d2_xboole_0]) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i,X1: $i] :
      ( ( r2_hidden @ sk__2 @ X0 )
      | ( X0
       != ( k2_xboole_0 @ X1 @ ( u1_struct_0 @ sk__1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl21]) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i] : ( r2_hidden @ sk__2 @ ( k2_xboole_0 @ X0 @ ( u1_struct_0 @ sk__1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl145]) ).

thf(zip_derived_cl631,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl629,zip_derived_cl8,zip_derived_cl5,zip_derived_cl151]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : SEU408+1 : TPTP v9.2.0. Released v3.4.0.
% 0.06/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.x3885HgtAo true
% 0.13/0.34  % Computer : n001.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 : Wed Oct  1 16:06:38 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.54/0.63  % Total configuration time : 435
% 0.54/0.63  % Estimated wc time : 1092
% 0.54/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.98  % Solved by fo/fo1_av.sh.
% 0.58/0.98  % done 269 iterations in 0.204s
% 0.58/0.98  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.98  % SZS output start Refutation
% See solution above
% 0.58/0.98  
% 0.58/0.98  
% 0.58/0.98  % Terminating...
% 1.75/1.06  % Runner terminated.
% 1.78/1.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------