TSTP Solution File: NUM576+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM576+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nZqM9UGBnC true

% Computer : n013.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 12:42:28 EDT 2023

% Result   : Theorem 2.54s 0.95s
% Output   : Refutation 2.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   31 (  13 unt;   6 typ;   0 def)
%            Number of atoms       :   55 (   7 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  156 (  23   ~;  21   |;   4   &; 103   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
thf(szszuzczcdt0_type,type,
    szszuzczcdt0: $i > $i ).

thf(xi_type,type,
    xi: $i ).

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

thf(xj_type,type,
    xj: $i ).

thf(szNzAzT0_type,type,
    szNzAzT0: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(m__,conjecture,
    ( ( xi != xj )
   => ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi )
      | ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( xi != xj )
     => ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi )
        | ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl242,plain,
    ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mLessTotal,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( sdtlseqdt0 @ W0 @ W1 )
        | ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[mLessTotal]) ).

thf(zip_derived_cl1264,plain,
    ( ~ ( aElementOf0 @ xi @ szNzAzT0 )
    | ~ ( aElementOf0 @ xj @ szNzAzT0 )
    | ( sdtlseqdt0 @ xi @ xj ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl242,zip_derived_cl61]) ).

thf(m__3856,axiom,
    ( ( aElementOf0 @ xj @ szNzAzT0 )
    & ( aElementOf0 @ xi @ szNzAzT0 ) ) ).

thf(zip_derived_cl240,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3856]) ).

thf(zip_derived_cl239,plain,
    aElementOf0 @ xj @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3856]) ).

thf(zip_derived_cl1268,plain,
    sdtlseqdt0 @ xi @ xj,
    inference(demod,[status(thm)],[zip_derived_cl1264,zip_derived_cl240,zip_derived_cl239]) ).

thf(mLessASymm,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( ( sdtlseqdt0 @ W0 @ W1 )
          & ( sdtlseqdt0 @ W1 @ W0 ) )
       => ( W0 = W1 ) ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( X0 = X1 )
      | ~ ( sdtlseqdt0 @ X1 @ X0 )
      | ~ ( sdtlseqdt0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[mLessASymm]) ).

thf(zip_derived_cl1308,plain,
    ( ~ ( aElementOf0 @ xj @ szNzAzT0 )
    | ~ ( aElementOf0 @ xi @ szNzAzT0 )
    | ( xj = xi )
    | ~ ( sdtlseqdt0 @ xj @ xi ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1268,zip_derived_cl59]) ).

thf(zip_derived_cl239_001,plain,
    aElementOf0 @ xj @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3856]) ).

thf(zip_derived_cl240_002,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3856]) ).

thf(zip_derived_cl1310,plain,
    ( ( xj = xi )
    | ~ ( sdtlseqdt0 @ xj @ xi ) ),
    inference(demod,[status(thm)],[zip_derived_cl1308,zip_derived_cl239,zip_derived_cl240]) ).

thf(zip_derived_cl241,plain,
    xi != xj,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1311,plain,
    ~ ( sdtlseqdt0 @ xj @ xi ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1310,zip_derived_cl241]) ).

thf(zip_derived_cl243,plain,
    ~ ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl61_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( sdtlseqdt0 @ X0 @ X1 )
      | ( sdtlseqdt0 @ ( szszuzczcdt0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[mLessTotal]) ).

thf(zip_derived_cl1265,plain,
    ( ~ ( aElementOf0 @ xj @ szNzAzT0 )
    | ~ ( aElementOf0 @ xi @ szNzAzT0 )
    | ( sdtlseqdt0 @ xj @ xi ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl61]) ).

thf(zip_derived_cl239_004,plain,
    aElementOf0 @ xj @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3856]) ).

thf(zip_derived_cl240_005,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3856]) ).

thf(zip_derived_cl1269,plain,
    sdtlseqdt0 @ xj @ xi,
    inference(demod,[status(thm)],[zip_derived_cl1265,zip_derived_cl239,zip_derived_cl240]) ).

thf(zip_derived_cl1326,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1311,zip_derived_cl1269]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM576+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nZqM9UGBnC true
% 0.16/0.34  % Computer : n013.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Fri Aug 25 08:47:02 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in FO mode
% 0.19/0.63  % Total configuration time : 435
% 0.19/0.63  % Estimated wc time : 1092
% 0.19/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 2.54/0.95  % Solved by fo/fo1_av.sh.
% 2.54/0.95  % done 407 iterations in 0.195s
% 2.54/0.95  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 2.54/0.95  % SZS output start Refutation
% See solution above
% 2.54/0.95  
% 2.54/0.95  
% 2.54/0.95  % Terminating...
% 3.02/1.05  % Runner terminated.
% 3.02/1.05  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------