TSTP Solution File: SYN375+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN375+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3w3UN3T2Z4 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 : Fri Sep  1 04:03:05 EDT 2023

% Result   : Theorem 0.19s 0.73s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   36 (   7 unt;   9 typ;   0 def)
%            Number of atoms       :   58 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   96 (  20   ~;  22   |;   0   &;  45   @)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   31 (   0   ^;  27   !;   4   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(big_p_type,type,
    big_p: $i > $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $o ).

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

thf(sk__3_type,type,
    sk__3: $i ).

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

thf(sk__6_type,type,
    sk__6: $i ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $o ).

thf(x2126,conjecture,
    ( ! [X: $i] :
        ( ( big_p @ X )
      <=> ? [Y: $i] : ( big_p @ Y ) )
  <=> ( ! [X: $i] : ( big_p @ X )
    <=> ? [Y: $i] : ( big_p @ Y ) ) ) ).

thf(zf_stmt_0,axiom,
    ( zip_tseitin_1
  <=> ( ! [X: $i] : ( big_p @ X )
    <=> ? [Y: $i] : ( big_p @ Y ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( big_p @ sk__3 )
      | ( big_p @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,type,
    zip_tseitin_1: $o ).

thf(zf_stmt_2,type,
    zip_tseitin_0: $i > $o ).

thf(zf_stmt_3,axiom,
    ! [X: $i] :
      ( ( zip_tseitin_0 @ X )
    <=> ( ( big_p @ X )
      <=> ? [Y: $i] : ( big_p @ Y ) ) ) ).

thf(zf_stmt_4,conjecture,
    ( ! [X: $i] : ( zip_tseitin_0 @ X )
  <=> zip_tseitin_1 ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ( ! [X: $i] : ( zip_tseitin_0 @ X )
    <=> zip_tseitin_1 ),
    inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl9,plain,
    ( ~ zip_tseitin_1
    | ~ ( zip_tseitin_0 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ X0 )
      | ( big_p @ sk_ )
      | ( big_p @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( zip_tseitin_0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 )
      | ~ ( zip_tseitin_0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( zip_tseitin_1
      | ~ ( big_p @ X1 )
      | ( big_p @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 )
      | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_p @ X0 )
      | ~ ( big_p @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl29,zip_derived_cl4]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | ( zip_tseitin_0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3,zip_derived_cl31]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 )
      | ~ ( big_p @ X1 )
      | ~ ( big_p @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ X0 )
      | ~ ( big_p @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] : ( zip_tseitin_0 @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl38]) ).

thf(zip_derived_cl41,plain,
    ~ zip_tseitin_1,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl40]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( big_p @ sk__3 )
      | ( big_p @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl41]) ).

thf(zip_derived_cl45,plain,
    big_p @ sk__3,
    inference(condensation,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl31_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_p @ X0 )
      | ~ ( big_p @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl29,zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ~ ( big_p @ X0 )
      | ~ ( big_p @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    ( zip_tseitin_1
    | ~ ( big_p @ sk__2 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl41_002,plain,
    ~ zip_tseitin_1,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl40]) ).

thf(zip_derived_cl42,plain,
    ~ ( big_p @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl41]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ~ ( big_p @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl42]) ).

thf(zip_derived_cl47,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl43]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN375+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3w3UN3T2Z4 true
% 0.13/0.34  % Computer : n022.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 19:08:25 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.19/0.65  % Total configuration time : 435
% 0.19/0.65  % Estimated wc time : 1092
% 0.19/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73  % Solved by fo/fo6_bce.sh.
% 0.19/0.73  % BCE start: 10
% 0.19/0.73  % BCE eliminated: 0
% 0.19/0.73  % PE start: 10
% 0.19/0.73  logic: neq
% 0.19/0.73  % PE eliminated: 0
% 0.19/0.73  % done 13 iterations in 0.009s
% 0.19/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.19/0.73  % SZS output start Refutation
% See solution above
% 0.19/0.73  
% 0.19/0.73  
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73  % Terminating...
% 0.80/0.77  % Runner terminated.
% 0.80/0.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------