TSTP Solution File: CSR021+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR021+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IgHNzzM62Z true

% Computer : n020.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 1.77s 0.88s
% Output   : Refutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   52
% Syntax   : Number of formulae    :   84 (  17 unt;  33 typ;   0 def)
%            Number of atoms       :  146 (  70 equ;   0 cnn)
%            Maximal formula atoms :   19 (   2 avg)
%            Number of connectives :  385 (  49   ~;  47   |;  33   &; 241   @)
%                                         (  14 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   61 (  61   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;  10 con; 0-3 aty)
%            Number of variables   :   78 (   0   ^;  78   !;   0   ?;  78   :)

% Comments : 
%------------------------------------------------------------------------------
thf(zip_tseitin_8_type,type,
    zip_tseitin_8: $i > $i > $i > $o ).

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(zip_tseitin_6_type,type,
    zip_tseitin_6: $i > $i > $i > $o ).

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

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

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

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

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $i > $i > $o ).

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

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

thf(zip_tseitin_7_type,type,
    zip_tseitin_7: $i > $i > $i > $o ).

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(terminates_type,type,
    terminates: $i > $i > $i > $o ).

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

thf(zip_tseitin_5_type,type,
    zip_tseitin_5: $i > $i > $i > $o ).

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $i > $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(plus1_1,axiom,
    ( ( plus @ n1 @ n1 )
    = n2 ) ).

thf(zip_derived_cl98,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(zip_derived_cl284,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_9 @ X0 @ X1 )
      | ( X0
       != ( plus @ n1 @ n1 ) )
      | ( X1 != push ) ),
    inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl98]) ).

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_cl286,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != push )
      | ( X1
       != ( plus @ n1 @ n1 ) )
      | ( happens @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl89]) ).

thf(zip_derived_cl288,plain,
    ! [X0: $i] :
      ( ( happens @ push @ X0 )
      | ( X0
       != ( plus @ n1 @ n1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl286]) ).

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

thf(zf_stmt_9,axiom,
    ! [Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_5 @ Time @ Fluent @ Event )
    <=> ( ( Event = pull )
        & ( Fluent = backwards )
        & ( happens @ push @ Time ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
      | ~ ( happens @ push @ X0 )
      | ( X1 != backwards )
      | ( X2 != pull ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl237,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != pull )
      | ~ ( happens @ push @ X1 )
      | ( zip_tseitin_5 @ X1 @ backwards @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl52]) ).

thf(zf_stmt_10,type,
    zip_tseitin_8: $i > $i > $i > $o ).

thf(zf_stmt_11,axiom,
    ! [Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_8 @ Time @ Fluent @ Event )
    <=> ( ( Event = push )
        & ( Fluent = backwards )
        & ~ ( happens @ pull @ Time ) ) ) ).

thf(zf_stmt_12,type,
    zip_tseitin_7: $i > $i > $i > $o ).

thf(zf_stmt_13,axiom,
    ! [Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_7 @ Time @ Fluent @ Event )
    <=> ( ( Event = pull )
        & ( Fluent = forwards )
        & ~ ( happens @ push @ Time ) ) ) ).

thf(zf_stmt_14,type,
    zip_tseitin_6: $i > $i > $i > $o ).

thf(zf_stmt_15,axiom,
    ! [Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_6 @ Time @ Fluent @ Event )
    <=> ( ( Event = pull )
        & ( Fluent = forwards )
        & ( happens @ push @ Time ) ) ) ).

thf(zf_stmt_16,type,
    zip_tseitin_5: $i > $i > $i > $o ).

thf(zf_stmt_17,type,
    zip_tseitin_4: $i > $i > $i > $o ).

thf(zf_stmt_18,axiom,
    ! [Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_4 @ Time @ Fluent @ Event )
    <=> ( ( Event = push )
        & ( Fluent = spinning )
        & ~ ( happens @ pull @ Time ) ) ) ).

thf(zf_stmt_19,type,
    zip_tseitin_3: $i > $i > $i > $o ).

thf(zf_stmt_20,axiom,
    ! [Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_3 @ Time @ Fluent @ Event )
    <=> ( ( Event = pull )
        & ( Fluent = spinning )
        & ~ ( happens @ push @ Time ) ) ) ).

thf(zf_stmt_21,axiom,
    ! [Event: $i,Fluent: $i,Time: $i] :
      ( ( terminates @ Event @ Fluent @ Time )
    <=> ( ( zip_tseitin_8 @ Time @ Fluent @ Event )
        | ( zip_tseitin_7 @ Time @ Fluent @ Event )
        | ( zip_tseitin_6 @ Time @ Fluent @ Event )
        | ( zip_tseitin_5 @ Time @ Fluent @ Event )
        | ( zip_tseitin_4 @ Time @ Fluent @ Event )
        | ( zip_tseitin_3 @ Time @ Fluent @ Event ) ) ) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( terminates @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_5 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_21]) ).

thf(zip_derived_cl366,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( happens @ push @ X1 )
      | ( X0 != pull )
      | ( terminates @ X0 @ backwards @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl69]) ).

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_cl98_001,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(zip_derived_cl289,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_10 @ X0 @ X1 )
      | ( X0
       != ( plus @ n1 @ n1 ) )
      | ( X1 != pull ) ),
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl98]) ).

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_cl291,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != pull )
      | ( X1
       != ( plus @ n1 @ n1 ) )
      | ( happens @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl289,zip_derived_cl88]) ).

thf(zip_derived_cl293,plain,
    ! [X0: $i] :
      ( ( happens @ pull @ X0 )
      | ( X0
       != ( plus @ n1 @ n1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl291]) ).

thf(not_backwards_3,conjecture,
    ~ ( holdsAt @ backwards @ n3 ) ).

thf(zf_stmt_22,negated_conjecture,
    holdsAt @ backwards @ n3,
    inference('cnf.neg',[status(esa)],[not_backwards_3]) ).

thf(zip_derived_cl134,plain,
    holdsAt @ backwards @ n3,
    inference(cnf,[status(esa)],[zf_stmt_22]) ).

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_cl98_002,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(zip_derived_cl138,plain,
    ( ( plus @ n1 @ ( plus @ n1 @ n1 ) )
    = n3 ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl98]) ).

thf(zip_derived_cl146,plain,
    holdsAt @ backwards @ ( plus @ n1 @ ( plus @ n1 @ n1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl138]) ).

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(happens_terminates_not_holds,axiom,
    ! [Event: $i,Time: $i,Fluent: $i] :
      ( ( ( happens @ Event @ Time )
        & ( terminates @ Event @ Fluent @ Time ) )
     => ~ ( holdsAt @ Fluent @ ( plus @ Time @ n1 ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ~ ( terminates @ X0 @ X2 @ X1 )
      | ~ ( holdsAt @ X2 @ ( plus @ X1 @ n1 ) ) ),
    inference(cnf,[status(esa)],[happens_terminates_not_holds]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( holdsAt @ X1 @ ( plus @ n1 @ X0 ) )
      | ~ ( terminates @ X2 @ X1 @ X0 )
      | ~ ( happens @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl21]) ).

thf(zip_derived_cl162,plain,
    ! [X0: $i] :
      ( ~ ( happens @ X0 @ ( plus @ n1 @ n1 ) )
      | ~ ( terminates @ X0 @ backwards @ ( plus @ n1 @ n1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl155]) ).

thf(zip_derived_cl328,plain,
    ( ( ( plus @ n1 @ n1 )
     != ( plus @ n1 @ n1 ) )
    | ~ ( terminates @ pull @ backwards @ ( plus @ n1 @ n1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl162]) ).

thf(zip_derived_cl332,plain,
    ~ ( terminates @ pull @ backwards @ ( plus @ n1 @ n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl328]) ).

thf(zip_derived_cl460,plain,
    ( ( pull != pull )
    | ~ ( happens @ push @ ( plus @ n1 @ n1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl332]) ).

thf(zip_derived_cl461,plain,
    ~ ( happens @ push @ ( plus @ n1 @ n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl460]) ).

thf(zip_derived_cl464,plain,
    ( ( plus @ n1 @ n1 )
   != ( plus @ n1 @ n1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl461]) ).

thf(zip_derived_cl468,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl464]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : CSR021+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IgHNzzM62Z true
% 0.15/0.35  % Computer : n020.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 : Mon Aug 28 09:03:14 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.21/0.68  % Total configuration time : 435
% 0.21/0.68  % Estimated wc time : 1092
% 0.21/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.40/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.77/0.88  % Solved by fo/fo7.sh.
% 1.77/0.88  % done 279 iterations in 0.090s
% 1.77/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.77/0.88  % SZS output start Refutation
% See solution above
% 1.77/0.88  
% 1.77/0.88  
% 1.77/0.88  % Terminating...
% 2.10/0.97  % Runner terminated.
% 2.10/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------