TSTP Solution File: GRP642+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRP642+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ATvqp6hMyT true

% Computer : n006.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 01:52:36 EDT 2023

% Result   : Theorem 10.02s 2.06s
% Output   : Refutation 10.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   30 (  10 unt;  13 typ;   0 def)
%            Number of atoms       :   48 (   6 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  125 (  20   ~;  12   |;  12   &;  74   @)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v4_group_1_type,type,
    v4_group_1: $i > $o ).

thf(k1_xboole_0_type,type,
    k1_xboole_0: $i ).

thf(k1_latsubgr_type,type,
    k1_latsubgr: $i > $i ).

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

thf(m1_group_2_type,type,
    m1_group_2: $i > $i > $o ).

thf(sk__26_type,type,
    sk__26: $i ).

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

thf(k1_funct_1_type,type,
    k1_funct_1: $i > $i > $i ).

thf(v3_group_1_type,type,
    v3_group_1: $i > $o ).

thf(k2_group_1_type,type,
    k2_group_1: $i > $i ).

thf(sk__25_type,type,
    sk__25: $i ).

thf(v1_group_1_type,type,
    v1_group_1: $i > $o ).

thf(l1_group_1_type,type,
    l1_group_1: $i > $o ).

thf(t20_latsubgr,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( ( v1_group_1 @ B )
            & ( m1_group_2 @ B @ A ) )
         => ( ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B )
           != k1_xboole_0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v3_group_1 @ A )
          & ( v4_group_1 @ A )
          & ( l1_group_1 @ A ) )
       => ! [B: $i] :
            ( ( ( v1_group_1 @ B )
              & ( m1_group_2 @ B @ A ) )
           => ( ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B )
             != k1_xboole_0 ) ) ),
    inference('cnf.neg',[status(esa)],[t20_latsubgr]) ).

thf(zip_derived_cl133,plain,
    m1_group_2 @ sk__26 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t19_latsubgr,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v3_group_1 @ A )
        & ( v4_group_1 @ A )
        & ( l1_group_1 @ A ) )
     => ! [B: $i] :
          ( ( ( v1_group_1 @ B )
            & ( m1_group_2 @ B @ A ) )
         => ( r2_hidden @ ( k2_group_1 @ A ) @ ( k1_funct_1 @ ( k1_latsubgr @ A ) @ B ) ) ) ) ).

thf(zip_derived_cl127,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_group_1 @ X0 )
      | ~ ( m1_group_2 @ X0 @ X1 )
      | ( r2_hidden @ ( k2_group_1 @ X1 ) @ ( k1_funct_1 @ ( k1_latsubgr @ X1 ) @ X0 ) )
      | ~ ( l1_group_1 @ X1 )
      | ~ ( v4_group_1 @ X1 )
      | ~ ( v3_group_1 @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t19_latsubgr]) ).

thf(zip_derived_cl1293,plain,
    ( ( v3_struct_0 @ sk__25 )
    | ~ ( v3_group_1 @ sk__25 )
    | ~ ( v4_group_1 @ sk__25 )
    | ~ ( l1_group_1 @ sk__25 )
    | ( r2_hidden @ ( k2_group_1 @ sk__25 ) @ ( k1_funct_1 @ ( k1_latsubgr @ sk__25 ) @ sk__26 ) )
    | ~ ( v1_group_1 @ sk__26 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl127]) ).

thf(zip_derived_cl128,plain,
    ~ ( v3_struct_0 @ sk__25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129,plain,
    v3_group_1 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130,plain,
    v4_group_1 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131,plain,
    l1_group_1 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132,plain,
    ( ( k1_funct_1 @ ( k1_latsubgr @ sk__25 ) @ sk__26 )
    = k1_xboole_0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134,plain,
    v1_group_1 @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1315,plain,
    r2_hidden @ ( k2_group_1 @ sk__25 ) @ k1_xboole_0,
    inference(demod,[status(thm)],[zip_derived_cl1293,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl134]) ).

thf(d1_xboole_0,axiom,
    ! [A: $i] :
      ( ( A = k1_xboole_0 )
    <=> ! [B: $i] :
          ~ ( r2_hidden @ B @ A ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r2_hidden @ X0 @ X1 )
      | ( X1 != k1_xboole_0 ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

thf(zip_derived_cl1317,plain,
    k1_xboole_0 != k1_xboole_0,
    inference('sup-',[status(thm)],[zip_derived_cl1315,zip_derived_cl1]) ).

thf(zip_derived_cl1322,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1317]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : GRP642+3 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ATvqp6hMyT true
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Mon Aug 28 20:58:53 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.53/0.68  % Total configuration time : 435
% 0.53/0.68  % Estimated wc time : 1092
% 0.53/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 10.02/2.06  % Solved by fo/fo4.sh.
% 10.02/2.06  % done 278 iterations in 1.262s
% 10.02/2.06  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.02/2.06  % SZS output start Refutation
% See solution above
% 10.02/2.06  
% 10.02/2.06  
% 10.02/2.06  % Terminating...
% 10.02/2.10  % Runner terminated.
% 10.02/2.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------