%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU451+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WnBwOcjspt true

% Computer : n002.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 19:13:08 EDT 2023

% Result   : Theorem 0.21s 0.82s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   58 (  23 unt;  13 typ;   0 def)
%            Number of atoms       :   78 (  24 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  435 (  29   ~;  22   |;   4   &; 373   @)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   4 con; 0-6 aty)
%            Number of variables   :   73 (   0   ^;  73   !;   0   ?;  73   :)

% Comments : 
%------------------------------------------------------------------------------
thf(k5_relat_1_type,type,
    k5_relat_1: $i > $i > $i ).

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

thf(v1_partfun1_type,type,
    v1_partfun1: $i > $i > $i > $o ).

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

thf(k2_zfmisc_1_type,type,
    k2_zfmisc_1: $i > $i > $i ).

thf(k1_zfmisc_1_type,type,
    k1_zfmisc_1: $i > $i ).

thf(m1_relset_1_type,type,
    m1_relset_1: $i > $i > $i > $o ).

thf(m2_relset_1_type,type,
    m2_relset_1: $i > $i > $i > $o ).

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

thf(k6_partfun1_type,type,
    k6_partfun1: $i > $i ).

thf(k9_relset_2_type,type,
    k9_relset_2: $i > $i > $i > $i > $i > $i ).

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

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

thf(t65_relset_2,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( m2_relset_1 @ C @ A @ B )
     => ( ( k9_relset_2 @ A @ A @ B @ ( k6_partfun1 @ A ) @ C )
        = ( k9_relset_2 @ A @ B @ B @ C @ ( k6_partfun1 @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( m2_relset_1 @ C @ A @ B )
       => ( ( k9_relset_2 @ A @ A @ B @ ( k6_partfun1 @ A ) @ C )
          = ( k9_relset_2 @ A @ B @ B @ C @ ( k6_partfun1 @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t65_relset_2]) ).

thf(zip_derived_cl0,plain,
    m2_relset_1 @ sk__2 @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t23_funct_2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m2_relset_1 @ C @ A @ B )
     => ( ( ( k7_relset_1 @ A @ A @ A @ B @ ( k6_partfun1 @ A ) @ C )
          = C )
        & ( ( k7_relset_1 @ A @ B @ B @ B @ C @ ( k6_partfun1 @ B ) )
          = C ) ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( k7_relset_1 @ X1 @ X2 @ X2 @ X2 @ X0 @ ( k6_partfun1 @ X2 ) )
        = X0 )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[t23_funct_2]) ).

thf(zip_derived_cl286,plain,
    ( ( k7_relset_1 @ sk_ @ sk__1 @ sk__1 @ sk__1 @ sk__2 @ ( k6_partfun1 @ sk__1 ) )
    = sk__2 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl68]) ).

thf(redefinition_k7_relset_1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( m1_relset_1 @ E @ A @ B )
        & ( m1_relset_1 @ F @ C @ D ) )
     => ( ( k7_relset_1 @ A @ B @ C @ D @ E @ F )
        = ( k5_relat_1 @ E @ F ) ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m1_relset_1 @ X3 @ X4 @ X5 )
      | ( ( k7_relset_1 @ X1 @ X2 @ X4 @ X5 @ X0 @ X3 )
        = ( k5_relat_1 @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k7_relset_1]) ).

thf(zip_derived_cl442,plain,
    ( ( sk__2
      = ( k5_relat_1 @ sk__2 @ ( k6_partfun1 @ sk__1 ) ) )
    | ~ ( m1_relset_1 @ ( k6_partfun1 @ sk__1 ) @ sk__1 @ sk__1 )
    | ~ ( m1_relset_1 @ sk__2 @ sk_ @ sk__1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl286,zip_derived_cl61]) ).

thf(dt_k6_partfun1,axiom,
    ! [A: $i] :
      ( ( m2_relset_1 @ ( k6_partfun1 @ A ) @ A @ A )
      & ( v1_partfun1 @ ( k6_partfun1 @ A ) @ A @ A ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] : ( m2_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
    inference(cnf,[status(esa)],[dt_k6_partfun1]) ).

thf(redefinition_m2_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m2_relset_1 @ C @ A @ B )
    <=> ( m1_relset_1 @ C @ A @ B ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).

thf(zip_derived_cl288,plain,
    ! [X0: $i] : ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl63]) ).

thf(zip_derived_cl0_001,plain,
    m2_relset_1 @ sk__2 @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).

thf(zip_derived_cl284,plain,
    m1_relset_1 @ sk__2 @ sk_ @ sk__1,
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl63]) ).

thf(zip_derived_cl443,plain,
    ( sk__2
    = ( k5_relat_1 @ sk__2 @ ( k6_partfun1 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl288,zip_derived_cl284]) ).

thf(redefinition_k9_relset_2,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) )
        & ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ C ) ) ) )
     => ( ( k9_relset_2 @ A @ B @ C @ D @ E )
        = ( k5_relat_1 @ D @ E ) ) ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) )
      | ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X2 @ X4 ) ) )
      | ( ( k9_relset_2 @ X1 @ X2 @ X4 @ X0 @ X3 )
        = ( k5_relat_1 @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k9_relset_2]) ).

thf(zip_derived_cl62_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) )
      | ~ ( m1_subset_1 @ X3 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X2 @ X4 ) ) )
      | ( ( k9_relset_2 @ X1 @ X2 @ X4 @ X0 @ X3 )
        = ( k5_relat_1 @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k9_relset_2]) ).

thf(zip_derived_cl1,plain,
    ( ( k9_relset_2 @ sk_ @ sk_ @ sk__1 @ ( k6_partfun1 @ sk_ ) @ sk__2 )
   != ( k9_relset_2 @ sk_ @ sk__1 @ sk__1 @ sk__2 @ ( k6_partfun1 @ sk__1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl414,plain,
    ( ( ( k9_relset_2 @ sk_ @ sk_ @ sk__1 @ ( k6_partfun1 @ sk_ ) @ sk__2 )
     != ( k5_relat_1 @ sk__2 @ ( k6_partfun1 @ sk__1 ) ) )
    | ~ ( m1_subset_1 @ ( k6_partfun1 @ sk__1 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk__1 @ sk__1 ) ) )
    | ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl1]) ).

thf(zip_derived_cl12_004,plain,
    ! [X0: $i] : ( m2_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
    inference(cnf,[status(esa)],[dt_k6_partfun1]) ).

thf(dt_m2_relset_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m2_relset_1 @ C @ A @ B )
     => ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[dt_m2_relset_1]) ).

thf(zip_derived_cl287,plain,
    ! [X0: $i] : ( m1_subset_1 @ ( k6_partfun1 @ X0 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl18]) ).

thf(zip_derived_cl0_005,plain,
    m2_relset_1 @ sk__2 @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X1 @ X2 ) ) )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[dt_m2_relset_1]) ).

thf(zip_derived_cl283,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl18]) ).

thf(zip_derived_cl415,plain,
    ( ( k9_relset_2 @ sk_ @ sk_ @ sk__1 @ ( k6_partfun1 @ sk_ ) @ sk__2 )
   != ( k5_relat_1 @ sk__2 @ ( k6_partfun1 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl414,zip_derived_cl287,zip_derived_cl283]) ).

thf(zip_derived_cl416,plain,
    ( ( ( k5_relat_1 @ ( k6_partfun1 @ sk_ ) @ sk__2 )
     != ( k5_relat_1 @ sk__2 @ ( k6_partfun1 @ sk__1 ) ) )
    | ~ ( m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ) )
    | ~ ( m1_subset_1 @ ( k6_partfun1 @ sk_ ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk_ ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl415]) ).

thf(zip_derived_cl283_007,plain,
    m1_subset_1 @ sk__2 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ sk_ @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl18]) ).

thf(zip_derived_cl287_008,plain,
    ! [X0: $i] : ( m1_subset_1 @ ( k6_partfun1 @ X0 ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ X0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl18]) ).

thf(zip_derived_cl417,plain,
    ( ( k5_relat_1 @ ( k6_partfun1 @ sk_ ) @ sk__2 )
   != ( k5_relat_1 @ sk__2 @ ( k6_partfun1 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl416,zip_derived_cl283,zip_derived_cl287]) ).

thf(zip_derived_cl0_009,plain,
    m2_relset_1 @ sk__2 @ sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( k7_relset_1 @ X1 @ X1 @ X1 @ X2 @ ( k6_partfun1 @ X1 ) @ X0 )
        = X0 )
      | ~ ( m2_relset_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[t23_funct_2]) ).

thf(zip_derived_cl285,plain,
    ( ( k7_relset_1 @ sk_ @ sk_ @ sk_ @ sk__1 @ ( k6_partfun1 @ sk_ ) @ sk__2 )
    = sk__2 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl67]) ).

thf(zip_derived_cl61_010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( m1_relset_1 @ X0 @ X1 @ X2 )
      | ~ ( m1_relset_1 @ X3 @ X4 @ X5 )
      | ( ( k7_relset_1 @ X1 @ X2 @ X4 @ X5 @ X0 @ X3 )
        = ( k5_relat_1 @ X0 @ X3 ) ) ),
    inference(cnf,[status(esa)],[redefinition_k7_relset_1]) ).

thf(zip_derived_cl429,plain,
    ( ( sk__2
      = ( k5_relat_1 @ ( k6_partfun1 @ sk_ ) @ sk__2 ) )
    | ~ ( m1_relset_1 @ sk__2 @ sk_ @ sk__1 )
    | ~ ( m1_relset_1 @ ( k6_partfun1 @ sk_ ) @ sk_ @ sk_ ) ),
    inference('sup+',[status(thm)],[zip_derived_cl285,zip_derived_cl61]) ).

thf(zip_derived_cl284_011,plain,
    m1_relset_1 @ sk__2 @ sk_ @ sk__1,
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl63]) ).

thf(zip_derived_cl288_012,plain,
    ! [X0: $i] : ( m1_relset_1 @ ( k6_partfun1 @ X0 ) @ X0 @ X0 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl63]) ).

thf(zip_derived_cl430,plain,
    ( sk__2
    = ( k5_relat_1 @ ( k6_partfun1 @ sk_ ) @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl284,zip_derived_cl288]) ).

thf(zip_derived_cl431,plain,
    ( sk__2
   != ( k5_relat_1 @ sk__2 @ ( k6_partfun1 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl417,zip_derived_cl430]) ).

thf(zip_derived_cl444,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl443,zip_derived_cl431]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU451+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WnBwOcjspt true
% 0.13/0.36  % Computer : n002.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Wed Aug 23 17:26:46 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.82  % Solved by fo/fo3_bce.sh.
% 0.21/0.82  % BCE start: 77
% 0.21/0.82  % BCE eliminated: 11
% 0.21/0.82  % PE start: 66
% 0.21/0.82  logic: eq
% 0.21/0.82  % PE eliminated: -6
% 0.21/0.82  % done 104 iterations in 0.041s
% 0.21/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.82  % SZS output start Refutation
% See solution above
% 1.27/0.82  
% 1.27/0.82  
% 1.27/0.82  % Terminating...
% 1.48/0.88  % Runner terminated.
% 1.56/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------