TSTP Solution File: LCL414+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL414+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uRsR6M4idP true

% Computer : n003.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 08:59:34 EDT 2023

% Result   : Theorem 0.91s 0.75s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   33 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  178 (  16   ~;  12   |;   8   &; 142   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   41 (   0   ^;  39   !;   2   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_truth_type,type,
    a_truth: $i > $o ).

thf(implies_type,type,
    implies: $i > $i > $i ).

thf(not_type,type,
    not: $i > $i ).

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

thf(thm147,conjecture,
    ~ ( ! [P: $i,Q: $i] :
          ( ( a_truth @ Q )
          | ~ ( a_truth @ P )
          | ~ ( a_truth @ ( implies @ P @ Q ) ) )
      & ! [P: $i,Q: $i] : ( a_truth @ ( implies @ P @ ( implies @ Q @ P ) ) )
      & ! [P: $i,Q: $i,R: $i] : ( a_truth @ ( implies @ ( implies @ P @ ( implies @ Q @ R ) ) @ ( implies @ ( implies @ P @ Q ) @ ( implies @ P @ R ) ) ) )
      & ! [P: $i,Q: $i] : ( a_truth @ ( implies @ ( implies @ ( not @ P ) @ ( not @ Q ) ) @ ( implies @ Q @ P ) ) )
      & ? [A: $i] :
          ~ ( a_truth @ ( implies @ A @ A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ! [P: $i,Q: $i] :
        ( ( a_truth @ Q )
        | ~ ( a_truth @ P )
        | ~ ( a_truth @ ( implies @ P @ Q ) ) )
    & ! [P: $i,Q: $i] : ( a_truth @ ( implies @ P @ ( implies @ Q @ P ) ) )
    & ! [P: $i,Q: $i,R: $i] : ( a_truth @ ( implies @ ( implies @ P @ ( implies @ Q @ R ) ) @ ( implies @ ( implies @ P @ Q ) @ ( implies @ P @ R ) ) ) )
    & ! [P: $i,Q: $i] : ( a_truth @ ( implies @ ( implies @ ( not @ P ) @ ( not @ Q ) ) @ ( implies @ Q @ P ) ) )
    & ? [A: $i] :
        ~ ( a_truth @ ( implies @ A @ A ) ) ),
    inference('cnf.neg',[status(esa)],[thm147]) ).

thf(zip_derived_cl0,plain,
    ~ ( a_truth @ ( implies @ sk_ @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X5: $i,X6: $i] : ( a_truth @ ( implies @ X5 @ ( implies @ X6 @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_001,plain,
    ! [X5: $i,X6: $i] : ( a_truth @ ( implies @ X5 @ ( implies @ X6 @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i,X3: $i,X4: $i] : ( a_truth @ ( implies @ ( implies @ X2 @ ( implies @ X3 @ X4 ) ) @ ( implies @ ( implies @ X2 @ X3 ) @ ( implies @ X2 @ X4 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X7: $i,X8: $i] :
      ( ~ ( a_truth @ X7 )
      | ~ ( a_truth @ ( implies @ X7 @ X8 ) )
      | ( a_truth @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( a_truth @ ( implies @ X1 @ ( implies @ X2 @ X0 ) ) )
      | ( a_truth @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl4_002,plain,
    ! [X7: $i,X8: $i] :
      ( ~ ( a_truth @ X7 )
      | ~ ( a_truth @ ( implies @ X7 @ X8 ) )
      | ( a_truth @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( a_truth @ ( implies @ X1 @ ( implies @ X2 @ X0 ) ) )
      | ~ ( a_truth @ ( implies @ X1 @ X2 ) )
      | ( a_truth @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl4]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( a_truth @ ( implies @ X0 @ ( implies @ ( implies @ X1 @ X0 ) @ X2 ) ) )
      | ( a_truth @ ( implies @ X0 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl11]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] : ( a_truth @ ( implies @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl13]) ).

thf(zip_derived_cl24,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl23]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL414+1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uRsR6M4idP true
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 04:27:23 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.91/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.91/0.75  % Solved by fo/fo6_bce.sh.
% 0.91/0.75  % BCE start: 5
% 0.91/0.75  % BCE eliminated: 0
% 0.91/0.75  % PE start: 5
% 0.91/0.75  logic: neq
% 0.91/0.75  % PE eliminated: 0
% 0.91/0.75  % done 13 iterations in 0.012s
% 0.91/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.91/0.75  % SZS output start Refutation
% See solution above
% 0.91/0.75  
% 0.91/0.75  
% 0.91/0.75  % Terminating...
% 1.53/0.84  % Runner terminated.
% 1.53/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------