TSTP Solution File: SEU444+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU444+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.GVcglckYxJ 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 19:13:04 EDT 2023

% Result   : Theorem 0.22s 0.80s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :   27 (  17 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  221 (  14   ~;   7   |;   3   &; 194   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-4 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(k1_funct_5_type,type,
    k1_funct_5: $i > $i ).

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

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

thf(k6_relset_1_type,type,
    k6_relset_1: $i > $i > $i > $i ).

thf(k10_relset_1_type,type,
    k10_relset_1: $i > $i > $i > $i > $i ).

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

thf(k2_funct_5_type,type,
    k2_funct_5: $i > $i ).

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

thf(t51_relset_2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( m2_relset_1 @ C @ B @ A )
     => ( ( ( k1_funct_5 @ C )
          = ( k10_relset_1 @ A @ B @ ( k6_relset_1 @ B @ A @ C ) @ A ) )
        & ( ( k2_funct_5 @ C )
          = ( k10_relset_1 @ B @ A @ C @ B ) ) ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( k1_funct_5 @ X2 )
        = ( k10_relset_1 @ X0 @ X1 @ ( k6_relset_1 @ X1 @ X0 @ X2 ) @ X0 ) )
      | ~ ( m2_relset_1 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[t51_relset_2]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( k2_funct_5 @ X2 )
        = ( k10_relset_1 @ X0 @ X1 @ X2 @ X0 ) )
      | ~ ( m2_relset_1 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t51_relset_2]) ).

thf(t56_relset_2,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( m2_relset_1 @ C @ B @ A )
     => ( ( ( k1_funct_5 @ C )
          = ( k10_relset_1 @ A @ B @ ( k6_relset_1 @ B @ A @ C ) @ A ) )
        & ( ( k10_relset_1 @ A @ B @ ( k6_relset_1 @ B @ A @ C ) @ ( k10_relset_1 @ B @ A @ C @ B ) )
          = ( k10_relset_1 @ A @ B @ ( k6_relset_1 @ B @ A @ C ) @ ( k2_funct_5 @ C ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( m2_relset_1 @ C @ B @ A )
       => ( ( ( k1_funct_5 @ C )
            = ( k10_relset_1 @ A @ B @ ( k6_relset_1 @ B @ A @ C ) @ A ) )
          & ( ( k10_relset_1 @ A @ B @ ( k6_relset_1 @ B @ A @ C ) @ ( k10_relset_1 @ B @ A @ C @ B ) )
            = ( k10_relset_1 @ A @ B @ ( k6_relset_1 @ B @ A @ C ) @ ( k2_funct_5 @ C ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t56_relset_2]) ).

thf(zip_derived_cl1,plain,
    ( ( ( k1_funct_5 @ sk__2 )
     != ( k10_relset_1 @ sk_ @ sk__1 @ ( k6_relset_1 @ sk__1 @ sk_ @ sk__2 ) @ sk_ ) )
    | ( ( k10_relset_1 @ sk_ @ sk__1 @ ( k6_relset_1 @ sk__1 @ sk_ @ sk__2 ) @ ( k10_relset_1 @ sk__1 @ sk_ @ sk__2 @ sk__1 ) )
     != ( k10_relset_1 @ sk_ @ sk__1 @ ( k6_relset_1 @ sk__1 @ sk_ @ sk__2 ) @ ( k2_funct_5 @ sk__2 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    ( ( ( k10_relset_1 @ sk_ @ sk__1 @ ( k6_relset_1 @ sk__1 @ sk_ @ sk__2 ) @ ( k2_funct_5 @ sk__2 ) )
     != ( k10_relset_1 @ sk_ @ sk__1 @ ( k6_relset_1 @ sk__1 @ sk_ @ sk__2 ) @ ( k2_funct_5 @ sk__2 ) ) )
    | ~ ( m2_relset_1 @ sk__2 @ sk__1 @ sk_ )
    | ( ( k1_funct_5 @ sk__2 )
     != ( k10_relset_1 @ sk_ @ sk__1 @ ( k6_relset_1 @ sk__1 @ sk_ @ sk__2 ) @ sk_ ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl1]) ).

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

thf(zip_derived_cl307,plain,
    ( ( ( k10_relset_1 @ sk_ @ sk__1 @ ( k6_relset_1 @ sk__1 @ sk_ @ sk__2 ) @ ( k2_funct_5 @ sk__2 ) )
     != ( k10_relset_1 @ sk_ @ sk__1 @ ( k6_relset_1 @ sk__1 @ sk_ @ sk__2 ) @ ( k2_funct_5 @ sk__2 ) ) )
    | ( ( k1_funct_5 @ sk__2 )
     != ( k10_relset_1 @ sk_ @ sk__1 @ ( k6_relset_1 @ sk__1 @ sk_ @ sk__2 ) @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl306,zip_derived_cl0]) ).

thf(zip_derived_cl308,plain,
    ( ( k1_funct_5 @ sk__2 )
   != ( k10_relset_1 @ sk_ @ sk__1 @ ( k6_relset_1 @ sk__1 @ sk_ @ sk__2 ) @ sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl307]) ).

thf(zip_derived_cl326,plain,
    ( ( ( k1_funct_5 @ sk__2 )
     != ( k1_funct_5 @ sk__2 ) )
    | ~ ( m2_relset_1 @ sk__2 @ sk__1 @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl308]) ).

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

thf(zip_derived_cl330,plain,
    ( ( k1_funct_5 @ sk__2 )
   != ( k1_funct_5 @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl326,zip_derived_cl0]) ).

thf(zip_derived_cl331,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl330]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU444+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GVcglckYxJ true
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug 24 00:15:08 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.80  % Solved by fo/fo3_bce.sh.
% 0.22/0.80  % BCE start: 58
% 0.22/0.80  % BCE eliminated: 2
% 0.22/0.80  % PE start: 56
% 0.22/0.80  logic: eq
% 0.22/0.80  % PE eliminated: 4
% 0.22/0.80  % done 71 iterations in 0.026s
% 0.22/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.80  % SZS output start Refutation
% See solution above
% 0.22/0.80  
% 0.22/0.80  
% 0.22/0.80  % Terminating...
% 1.61/0.86  % Runner terminated.
% 1.61/0.87  % Zipperpin 1.5 exiting
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