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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU420+2 : TPTP v9.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qT66iSo3L7 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 Oct  2 04:54:34 PM UTC 2025

% Result   : Theorem 31.02s 5.12s
% Output   : Refutation 31.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   53 (   4 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  258 (  22   ~;  15   |;   1   &; 210   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   44 (   0   ^;  44   !;   0   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__24_type,type,
    sk__24: $i ).

thf(k9_relat_1_type,type,
    k9_relat_1: $i > $i > $i ).

thf(k3_xboole_0_type,type,
    k3_xboole_0: $i > $i > $i ).

thf(v1_relat_1_type,type,
    v1_relat_1: $i > $o ).

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

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

thf(k3_pua2mss1_type,type,
    k3_pua2mss1: $i > $i ).

thf(r1_tarski_type,type,
    r1_tarski: $i > $i > $o ).

thf(t157_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ! [C: $i] :
          ( ( v1_relat_1 @ C )
         => ( ( r1_tarski @ B @ C )
           => ( r1_tarski @ ( k9_relat_1 @ B @ A ) @ ( k9_relat_1 @ C @ A ) ) ) ) ) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v1_relat_1 @ X0 )
      | ( r1_tarski @ ( k9_relat_1 @ X1 @ X2 ) @ ( k9_relat_1 @ X0 @ X2 ) )
      | ~ ( r1_tarski @ X1 @ X0 )
      | ~ ( v1_relat_1 @ X1 ) ),
    inference(cnf,[status(esa)],[t157_relat_1]) ).

thf(t3_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ( ( r1_tarski @ A @ B )
       => ( v1_relat_1 @ A ) ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ( v1_relat_1 @ X0 )
      | ~ ( v1_relat_1 @ X1 )
      | ~ ( r1_tarski @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t3_relat_1]) ).

thf(zip_derived_cl20318,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1_tarski @ X1 @ X0 )
      | ( r1_tarski @ ( k9_relat_1 @ X1 @ X2 ) @ ( k9_relat_1 @ X0 @ X2 ) )
      | ~ ( v1_relat_1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl91,zip_derived_cl61]) ).

thf(zip_derived_cl20318_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1_tarski @ X1 @ X0 )
      | ( r1_tarski @ ( k9_relat_1 @ X1 @ X2 ) @ ( k9_relat_1 @ X0 @ X2 ) )
      | ~ ( v1_relat_1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl91,zip_derived_cl61]) ).

thf(t19_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( r1_tarski @ A @ B )
        & ( r1_tarski @ A @ C ) )
     => ( r1_tarski @ A @ ( k3_xboole_0 @ B @ C ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1_tarski @ X0 @ X1 )
      | ~ ( r1_tarski @ X0 @ X2 )
      | ( r1_tarski @ X0 @ ( k3_xboole_0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t19_xboole_1]) ).

thf(t13_relset_2,conjecture,
    ! [A: $i,B: $i] :
      ( ( v1_relat_1 @ B )
     => ! [C: $i] :
          ( ( v1_relat_1 @ C )
         => ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ B @ C ) @ ( k3_pua2mss1 @ A ) ) @ ( k3_xboole_0 @ ( k9_relat_1 @ B @ ( k3_pua2mss1 @ A ) ) @ ( k9_relat_1 @ C @ ( k3_pua2mss1 @ A ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( v1_relat_1 @ B )
       => ! [C: $i] :
            ( ( v1_relat_1 @ C )
           => ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ B @ C ) @ ( k3_pua2mss1 @ A ) ) @ ( k3_xboole_0 @ ( k9_relat_1 @ B @ ( k3_pua2mss1 @ A ) ) @ ( k9_relat_1 @ C @ ( k3_pua2mss1 @ A ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t13_relset_2]) ).

thf(zip_derived_cl185,plain,
    ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__25 @ sk__26 ) @ ( k3_pua2mss1 @ sk__24 ) ) @ ( k3_xboole_0 @ ( k9_relat_1 @ sk__25 @ ( k3_pua2mss1 @ sk__24 ) ) @ ( k9_relat_1 @ sk__26 @ ( k3_pua2mss1 @ sk__24 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(commutativity_k3_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( k3_xboole_0 @ A @ B )
      = ( k3_xboole_0 @ B @ A ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl13_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl879,plain,
    ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__26 @ sk__25 ) @ ( k3_pua2mss1 @ sk__24 ) ) @ ( k3_xboole_0 @ ( k9_relat_1 @ sk__26 @ ( k3_pua2mss1 @ sk__24 ) ) @ ( k9_relat_1 @ sk__25 @ ( k3_pua2mss1 @ sk__24 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl13,zip_derived_cl13]) ).

thf(zip_derived_cl1908,plain,
    ( ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__26 @ sk__25 ) @ ( k3_pua2mss1 @ sk__24 ) ) @ ( k9_relat_1 @ sk__25 @ ( k3_pua2mss1 @ sk__24 ) ) )
    | ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__26 @ sk__25 ) @ ( k3_pua2mss1 @ sk__24 ) ) @ ( k9_relat_1 @ sk__26 @ ( k3_pua2mss1 @ sk__24 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl879]) ).

thf(zip_derived_cl20331,plain,
    ( ~ ( v1_relat_1 @ sk__25 )
    | ~ ( r1_tarski @ ( k3_xboole_0 @ sk__26 @ sk__25 ) @ sk__25 )
    | ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__26 @ sk__25 ) @ ( k3_pua2mss1 @ sk__24 ) ) @ ( k9_relat_1 @ sk__26 @ ( k3_pua2mss1 @ sk__24 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20318,zip_derived_cl1908]) ).

thf(zip_derived_cl184,plain,
    v1_relat_1 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( k3_xboole_0 @ X1 @ X0 )
      = ( k3_xboole_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(t17_xboole_1,axiom,
    ! [A: $i,B: $i] : ( r1_tarski @ ( k3_xboole_0 @ A @ B ) @ A ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] : ( r1_tarski @ ( k3_xboole_0 @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[t17_xboole_1]) ).

thf(zip_derived_cl1413,plain,
    ! [X0: $i,X1: $i] : ( r1_tarski @ ( k3_xboole_0 @ X1 @ X0 ) @ X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl20]) ).

thf(zip_derived_cl20374,plain,
    ~ ( r1_tarski @ ( k9_relat_1 @ ( k3_xboole_0 @ sk__26 @ sk__25 ) @ ( k3_pua2mss1 @ sk__24 ) ) @ ( k9_relat_1 @ sk__26 @ ( k3_pua2mss1 @ sk__24 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl20331,zip_derived_cl184,zip_derived_cl1413]) ).

thf(zip_derived_cl20382,plain,
    ( ~ ( v1_relat_1 @ sk__26 )
    | ~ ( r1_tarski @ ( k3_xboole_0 @ sk__26 @ sk__25 ) @ sk__26 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20318,zip_derived_cl20374]) ).

thf(zip_derived_cl186,plain,
    v1_relat_1 @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20_004,plain,
    ! [X0: $i,X1: $i] : ( r1_tarski @ ( k3_xboole_0 @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[t17_xboole_1]) ).

thf(zip_derived_cl20435,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl20382,zip_derived_cl186,zip_derived_cl20]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : SEU420+2 : TPTP v9.2.0. Released v3.4.0.
% 0.12/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qT66iSo3L7 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 : Wed Oct  1 16:10:53 EDT 2025
% 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.53/0.67  % Total configuration time : 435
% 0.53/0.67  % Estimated wc time : 1092
% 0.53/0.67  % Estimated cpu time (7 cpus) : 156.0
% 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/fo6_bce.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 31.02/5.12  % Solved by fo/fo4.sh.
% 31.02/5.12  % done 1587 iterations in 4.337s
% 31.02/5.12  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 31.02/5.12  % SZS output start Refutation
% See solution above
% 31.02/5.12  
% 31.02/5.12  
% 31.02/5.12  % Terminating...
% 31.64/5.20  % Runner terminated.
% 31.64/5.22  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------