TSTP Solution File: LCL536+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL536+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZRmPV4BAZH true

% Computer : n027.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 09:00:06 EDT 2023

% Result   : Theorem 0.20s 0.77s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   34 (  14 unt;  10 typ;   0 def)
%            Number of atoms       :   36 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   95 (  11   ~;   7   |;   0   &;  72   @)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(axiom_m10_type,type,
    axiom_m10: $o ).

thf(sk__93_type,type,
    sk__93: $i ).

thf(axiom_5_type,type,
    axiom_5: $o ).

thf(is_a_theorem_type,type,
    is_a_theorem: $i > $o ).

thf(necessarily_type,type,
    necessarily: $i > $i ).

thf(strict_implies_type,type,
    strict_implies: $i > $i > $i ).

thf(op_strict_implies_type,type,
    op_strict_implies: $o ).

thf(necessitation_type,type,
    necessitation: $o ).

thf(possibly_type,type,
    possibly: $i > $i ).

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

thf(s1_0_op_strict_implies,axiom,
    op_strict_implies ).

thf(zip_derived_cl142,plain,
    op_strict_implies,
    inference(cnf,[status(esa)],[s1_0_op_strict_implies]) ).

thf(op_strict_implies,axiom,
    ( op_strict_implies
   => ! [X: $i,Y: $i] :
        ( ( strict_implies @ X @ Y )
        = ( necessarily @ ( implies @ X @ Y ) ) ) ) ).

thf(zip_derived_cl132,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( strict_implies @ X0 @ X1 )
        = ( necessarily @ ( implies @ X0 @ X1 ) ) )
      | ~ op_strict_implies ),
    inference(cnf,[status(esa)],[op_strict_implies]) ).

thf(zip_derived_cl655,plain,
    ! [X0: $i,X1: $i] :
      ( ( strict_implies @ X1 @ X0 )
      = ( necessarily @ ( implies @ X1 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl142,zip_derived_cl132]) ).

thf(km5_necessitation,axiom,
    necessitation ).

thf(zip_derived_cl135,plain,
    necessitation,
    inference(cnf,[status(esa)],[km5_necessitation]) ).

thf(necessitation,axiom,
    ( necessitation
  <=> ! [X: $i] :
        ( ( is_a_theorem @ X )
       => ( is_a_theorem @ ( necessarily @ X ) ) ) ) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ( is_a_theorem @ ( necessarily @ X0 ) )
      | ~ necessitation ),
    inference(cnf,[status(esa)],[necessitation]) ).

thf(zip_derived_cl706,plain,
    ! [X0: $i] :
      ( ( is_a_theorem @ ( necessarily @ X0 ) )
      | ~ ( is_a_theorem @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl135,zip_derived_cl78]) ).

thf(zip_derived_cl722,plain,
    ! [X0: $i,X1: $i] :
      ( ( is_a_theorem @ ( strict_implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl655,zip_derived_cl706]) ).

thf(axiom_m10,axiom,
    ( axiom_m10
  <=> ! [X: $i] : ( is_a_theorem @ ( strict_implies @ ( possibly @ X ) @ ( necessarily @ ( possibly @ X ) ) ) ) ) ).

thf(zip_derived_cl129,plain,
    ( axiom_m10
    | ~ ( is_a_theorem @ ( strict_implies @ ( possibly @ sk__93 ) @ ( necessarily @ ( possibly @ sk__93 ) ) ) ) ),
    inference(cnf,[status(esa)],[axiom_m10]) ).

thf(s1_0_m10_axiom_m10,conjecture,
    axiom_m10 ).

thf(zf_stmt_0,negated_conjecture,
    ~ axiom_m10,
    inference('cnf.neg',[status(esa)],[s1_0_m10_axiom_m10]) ).

thf(zip_derived_cl145,plain,
    ~ axiom_m10,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl703,plain,
    ~ ( is_a_theorem @ ( strict_implies @ ( possibly @ sk__93 ) @ ( necessarily @ ( possibly @ sk__93 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl129,zip_derived_cl145]) ).

thf(zip_derived_cl723,plain,
    ~ ( is_a_theorem @ ( implies @ ( possibly @ sk__93 ) @ ( necessarily @ ( possibly @ sk__93 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl722,zip_derived_cl703]) ).

thf(km5_axiom_5,axiom,
    axiom_5 ).

thf(zip_derived_cl138,plain,
    axiom_5,
    inference(cnf,[status(esa)],[km5_axiom_5]) ).

thf(axiom_5,axiom,
    ( axiom_5
  <=> ! [X: $i] : ( is_a_theorem @ ( implies @ ( possibly @ X ) @ ( necessarily @ ( possibly @ X ) ) ) ) ) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i] :
      ( ( is_a_theorem @ ( implies @ ( possibly @ X0 ) @ ( necessarily @ ( possibly @ X0 ) ) ) )
      | ~ axiom_5 ),
    inference(cnf,[status(esa)],[axiom_5]) ).

thf(zip_derived_cl687,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( possibly @ X0 ) @ ( necessarily @ ( possibly @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl138,zip_derived_cl100]) ).

thf(zip_derived_cl770,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl723,zip_derived_cl687]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL536+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZRmPV4BAZH true
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 06:32:18 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.20/0.77  % Solved by fo/fo6_bce.sh.
% 0.20/0.77  % BCE start: 146
% 0.20/0.77  % BCE eliminated: 4
% 0.20/0.77  % PE start: 142
% 0.20/0.77  logic: eq
% 0.20/0.77  % PE eliminated: 81
% 0.20/0.77  % done 45 iterations in 0.046s
% 0.20/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.77  % SZS output start Refutation
% See solution above
% 0.20/0.77  
% 0.20/0.77  
% 0.20/0.77  % Terminating...
% 1.49/0.87  % Runner terminated.
% 1.49/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------