TSTP Solution File: CSR023+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR023+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lxRyNoiv2C true

% Computer : n018.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 : Wed Aug 30 22:05:17 EDT 2023

% Result   : Theorem 1.42s 0.87s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   42
% Syntax   : Number of formulae    :   66 (  15 unt;  27 typ;   0 def)
%            Number of atoms       :  100 (  44 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  232 (  24   ~;  28   |;  21   &; 147   @)
%                                         (  11 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   43 (  43   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;  10 con; 0-3 aty)
%            Number of variables   :   56 (   0   ^;  56   !;   0   ?;  56   :)

% Comments : 
%------------------------------------------------------------------------------
thf(push_type,type,
    push: $i ).

thf(backwards_type,type,
    backwards: $i ).

thf(zip_tseitin_12_type,type,
    zip_tseitin_12: $i > $i > $o ).

thf(n3_type,type,
    n3: $i ).

thf(initiates_type,type,
    initiates: $i > $i > $i > $o ).

thf(happens_type,type,
    happens: $i > $i > $o ).

thf(n1_type,type,
    n1: $i ).

thf(forwards_type,type,
    forwards: $i ).

thf(n2_type,type,
    n2: $i ).

thf(pull_type,type,
    pull: $i ).

thf(zip_tseitin_10_type,type,
    zip_tseitin_10: $i > $i > $o ).

thf(plus_type,type,
    plus: $i > $i > $i ).

thf(spinning_type,type,
    spinning: $i ).

thf(holdsAt_type,type,
    holdsAt: $i > $i > $o ).

thf(n0_type,type,
    n0: $i ).

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

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

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $i > $i > $o ).

thf(zip_tseitin_11_type,type,
    zip_tseitin_11: $i > $i > $o ).

thf(zip_tseitin_9_type,type,
    zip_tseitin_9: $i > $i > $o ).

thf(happens_all_defn,axiom,
    ! [Event: $i,Time: $i] :
      ( ( happens @ Event @ Time )
    <=> ( ( ( Time = n2 )
          & ( Event = push ) )
        | ( ( Time = n2 )
          & ( Event = pull ) )
        | ( ( Time = n1 )
          & ( Event = pull ) )
        | ( ( Time = n0 )
          & ( Event = push ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [Time: $i,Event: $i] :
      ( ( zip_tseitin_9 @ Time @ Event )
    <=> ( ( Event = push )
        & ( Time = n2 ) ) ) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_9 @ X0 @ X1 )
      | ( X0 != n2 )
      | ( X1 != push ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl204,plain,
    ! [X0: $i] :
      ( ( X0 != push )
      | ( zip_tseitin_9 @ n2 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl300,plain,
    zip_tseitin_9 @ n2 @ push,
    inference(eq_res,[status(thm)],[zip_derived_cl204]) ).

thf(zf_stmt_1,type,
    zip_tseitin_12: $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [Time: $i,Event: $i] :
      ( ( zip_tseitin_12 @ Time @ Event )
    <=> ( ( Event = push )
        & ( Time = n0 ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_11: $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [Time: $i,Event: $i] :
      ( ( zip_tseitin_11 @ Time @ Event )
    <=> ( ( Event = pull )
        & ( Time = n1 ) ) ) ).

thf(zf_stmt_5,type,
    zip_tseitin_10: $i > $i > $o ).

thf(zf_stmt_6,axiom,
    ! [Time: $i,Event: $i] :
      ( ( zip_tseitin_10 @ Time @ Event )
    <=> ( ( Event = pull )
        & ( Time = n2 ) ) ) ).

thf(zf_stmt_7,type,
    zip_tseitin_9: $i > $i > $o ).

thf(zf_stmt_8,axiom,
    ! [Event: $i,Time: $i] :
      ( ( happens @ Event @ Time )
    <=> ( ( zip_tseitin_12 @ Time @ Event )
        | ( zip_tseitin_11 @ Time @ Event )
        | ( zip_tseitin_10 @ Time @ Event )
        | ( zip_tseitin_9 @ Time @ Event ) ) ) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i] :
      ( ( happens @ X0 @ X1 )
      | ~ ( zip_tseitin_9 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl402,plain,
    happens @ push @ n2,
    inference('sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl89]) ).

thf(initiates_all_defn,axiom,
    ! [Event: $i,Fluent: $i,Time: $i] :
      ( ( initiates @ Event @ Fluent @ Time )
    <=> ( ( ( happens @ push @ Time )
          & ( Fluent = spinning )
          & ( Event = pull ) )
        | ( ~ ( happens @ push @ Time )
          & ( Fluent = backwards )
          & ( Event = pull ) )
        | ( ~ ( happens @ pull @ Time )
          & ( Fluent = forwards )
          & ( Event = push ) ) ) ) ).

thf(zf_stmt_9,axiom,
    ! [Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_0 @ Time @ Fluent @ Event )
    <=> ( ( Event = pull )
        & ( Fluent = spinning )
        & ( happens @ push @ Time ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
      | ~ ( happens @ push @ X0 )
      | ( X1 != spinning )
      | ( X2 != pull ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl436,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != pull )
      | ( X1 != spinning )
      | ( zip_tseitin_0 @ n2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl28]) ).

thf(zip_derived_cl582,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ n2 @ X0 @ pull )
      | ( X0 != spinning ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl436]) ).

thf(zip_derived_cl583,plain,
    zip_tseitin_0 @ n2 @ spinning @ pull,
    inference(eq_res,[status(thm)],[zip_derived_cl582]) ).

thf(zf_stmt_10,type,
    zip_tseitin_2: $i > $i > $i > $o ).

thf(zf_stmt_11,axiom,
    ! [Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_2 @ Time @ Fluent @ Event )
    <=> ( ( Event = push )
        & ( Fluent = forwards )
        & ~ ( happens @ pull @ Time ) ) ) ).

thf(zf_stmt_12,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(zf_stmt_13,axiom,
    ! [Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_1 @ Time @ Fluent @ Event )
    <=> ( ( Event = pull )
        & ( Fluent = backwards )
        & ~ ( happens @ push @ Time ) ) ) ).

thf(zf_stmt_14,type,
    zip_tseitin_0: $i > $i > $i > $o ).

thf(zf_stmt_15,axiom,
    ! [Event: $i,Fluent: $i,Time: $i] :
      ( ( initiates @ Event @ Fluent @ Time )
    <=> ( ( zip_tseitin_2 @ Time @ Fluent @ Event )
        | ( zip_tseitin_1 @ Time @ Fluent @ Event )
        | ( zip_tseitin_0 @ Time @ Fluent @ Event ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( initiates @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_0 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf(zip_derived_cl587,plain,
    initiates @ pull @ spinning @ n2,
    inference('sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl40]) ).

thf(happens_holds,axiom,
    ! [Event: $i,Time: $i,Fluent: $i] :
      ( ( ( happens @ Event @ Time )
        & ( initiates @ Event @ Fluent @ Time ) )
     => ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ~ ( initiates @ X0 @ X2 @ X1 )
      | ( holdsAt @ X2 @ ( plus @ X1 @ n1 ) ) ),
    inference(cnf,[status(esa)],[happens_holds]) ).

thf(zip_derived_cl589,plain,
    ( ( holdsAt @ spinning @ ( plus @ n2 @ n1 ) )
    | ~ ( happens @ pull @ n2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl20]) ).

thf(symmetry_of_plus,axiom,
    ! [X: $i,Y: $i] :
      ( ( plus @ X @ Y )
      = ( plus @ Y @ X ) ) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i,X1: $i] :
      ( ( plus @ X1 @ X0 )
      = ( plus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[symmetry_of_plus]) ).

thf(plus1_2,axiom,
    ( ( plus @ n1 @ n2 )
    = n3 ) ).

thf(zip_derived_cl99,plain,
    ( ( plus @ n1 @ n2 )
    = n3 ),
    inference(cnf,[status(esa)],[plus1_2]) ).

thf(zip_derived_cl145,plain,
    ( ( plus @ n2 @ n1 )
    = n3 ),
    inference('sup+',[status(thm)],[zip_derived_cl104,zip_derived_cl99]) ).

thf(spinning_3,conjecture,
    holdsAt @ spinning @ n3 ).

thf(zf_stmt_16,negated_conjecture,
    ~ ( holdsAt @ spinning @ n3 ),
    inference('cnf.neg',[status(esa)],[spinning_3]) ).

thf(zip_derived_cl134,plain,
    ~ ( holdsAt @ spinning @ n3 ),
    inference(cnf,[status(esa)],[zf_stmt_16]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_10 @ X0 @ X1 )
      | ( X0 != n2 )
      | ( X1 != pull ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl205,plain,
    ! [X0: $i] :
      ( ( X0 != pull )
      | ( zip_tseitin_10 @ n2 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl301,plain,
    zip_tseitin_10 @ n2 @ pull,
    inference(eq_res,[status(thm)],[zip_derived_cl205]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i] :
      ( ( happens @ X0 @ X1 )
      | ~ ( zip_tseitin_10 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl405,plain,
    happens @ pull @ n2,
    inference('sup-',[status(thm)],[zip_derived_cl301,zip_derived_cl88]) ).

thf(zip_derived_cl592,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl589,zip_derived_cl145,zip_derived_cl134,zip_derived_cl405]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR023+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lxRyNoiv2C true
% 0.13/0.34  % Computer : n018.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 : Mon Aug 28 07:31:02 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 1.07/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.07/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.26/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.26/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.26/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.26/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.26/0.81  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.42/0.87  % Solved by fo/fo5.sh.
% 1.42/0.87  % done 394 iterations in 0.093s
% 1.42/0.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.42/0.87  % SZS output start Refutation
% See solution above
% 1.42/0.87  
% 1.42/0.87  
% 1.42/0.87  % Terminating...
% 1.53/0.96  % Runner terminated.
% 1.69/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------