TSTP Solution File: CSR016+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR016+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.Iu2wxijG9W true

% Computer : n029.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 22:05:16 EDT 2023

% Result   : Theorem 1.88s 1.04s
% Output   : Refutation 1.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   47
% Syntax   : Number of formulae    :   90 (  13 unt;  28 typ;   0 def)
%            Number of atoms       :  173 (  71 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  399 (  58   ~;  73   |;  22   &; 230   @)
%                                         (  15 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   47 (  47   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;   9 con; 0-3 aty)
%            Number of variables   :   93 (   0   ^;  93   !;   0   ?;  93   :)

% 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(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(less_or_equal_type,type,
    less_or_equal: $i > $i > $o ).

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

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

thf(less_type,type,
    less: $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_12 @ Time @ Event )
    <=> ( ( Event = push )
        & ( Time = n0 ) ) ) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_12 @ X0 @ X1 )
      | ( X0 != n0 )
      | ( X1 != push ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zf_stmt_2,type,
    zip_tseitin_11: $i > $i > $o ).

thf(zf_stmt_3,axiom,
    ! [Time: $i,Event: $i] :
      ( ( zip_tseitin_11 @ Time @ Event )
    <=> ( ( Event = pull )
        & ( Time = n1 ) ) ) ).

thf(zf_stmt_4,type,
    zip_tseitin_10: $i > $i > $o ).

thf(zf_stmt_5,axiom,
    ! [Time: $i,Event: $i] :
      ( ( zip_tseitin_10 @ Time @ Event )
    <=> ( ( Event = pull )
        & ( Time = n2 ) ) ) ).

thf(zf_stmt_6,type,
    zip_tseitin_9: $i > $i > $o ).

thf(zf_stmt_7,axiom,
    ! [Time: $i,Event: $i] :
      ( ( zip_tseitin_9 @ Time @ Event )
    <=> ( ( Event = push )
        & ( Time = n2 ) ) ) ).

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_cl86,plain,
    ! [X0: $i,X1: $i] :
      ( ( happens @ X0 @ X1 )
      | ~ ( zip_tseitin_12 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl990,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != push )
      | ( X1 != n0 )
      | ( happens @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl86]) ).

thf(plus0_1,axiom,
    ( ( plus @ n0 @ n1 )
    = n1 ) ).

thf(zip_derived_cl95,plain,
    ( ( plus @ n0 @ n1 )
    = n1 ),
    inference(cnf,[status(esa)],[plus0_1]) ).

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_2 @ Time @ Fluent @ Event )
    <=> ( ( Event = push )
        & ( Fluent = forwards )
        & ~ ( happens @ pull @ Time ) ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_2 @ X0 @ X1 @ X2 )
      | ( happens @ pull @ X0 )
      | ( X1 != forwards )
      | ( X2 != push ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

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

thf(zf_stmt_11,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(zf_stmt_12,axiom,
    ! [Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_1 @ Time @ Fluent @ Event )
    <=> ( ( Event = pull )
        & ( Fluent = backwards )
        & ~ ( happens @ push @ Time ) ) ) ).

thf(zf_stmt_13,type,
    zip_tseitin_0: $i > $i > $i > $o ).

thf(zf_stmt_14,axiom,
    ! [Time: $i,Fluent: $i,Event: $i] :
      ( ( zip_tseitin_0 @ Time @ Fluent @ Event )
    <=> ( ( Event = pull )
        & ( Fluent = spinning )
        & ( happens @ push @ Time ) ) ) ).

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_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( initiates @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_2 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf(zip_derived_cl930,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 != push )
      | ( X1 != forwards )
      | ( happens @ pull @ X2 )
      | ( initiates @ X0 @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl38]) ).

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_cl945,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( happens @ pull @ X0 )
      | ( X1 != forwards )
      | ( X2 != push )
      | ~ ( happens @ X2 @ X0 )
      | ( holdsAt @ X1 @ ( plus @ X0 @ n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl930,zip_derived_cl20]) ).

thf(zip_derived_cl953,plain,
    ! [X0: $i,X1: $i] :
      ( ( holdsAt @ forwards @ ( plus @ X0 @ n1 ) )
      | ~ ( happens @ X1 @ X0 )
      | ( X1 != push )
      | ( happens @ pull @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl945]) ).

thf(zip_derived_cl962,plain,
    ! [X0: $i] :
      ( ( happens @ pull @ X0 )
      | ~ ( happens @ push @ X0 )
      | ( holdsAt @ forwards @ ( plus @ X0 @ n1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl953]) ).

thf(zip_derived_cl973,plain,
    ( ( happens @ pull @ n0 )
    | ~ ( happens @ push @ n0 )
    | ( holdsAt @ forwards @ n1 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl95,zip_derived_cl962]) ).

thf(forwards_1,conjecture,
    holdsAt @ forwards @ n1 ).

thf(zf_stmt_16,negated_conjecture,
    ~ ( holdsAt @ forwards @ n1 ),
    inference('cnf.neg',[status(esa)],[forwards_1]) ).

thf(zip_derived_cl134,plain,
    ~ ( holdsAt @ forwards @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_16]) ).

thf(zip_derived_cl975,plain,
    ( ~ ( happens @ push @ n0 )
    | ( happens @ pull @ n0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl973,zip_derived_cl134]) ).

thf(zip_derived_cl1586,plain,
    ( ( n0 != n0 )
    | ( push != push )
    | ( happens @ pull @ n0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl990,zip_derived_cl975]) ).

thf(zip_derived_cl1594,plain,
    happens @ pull @ n0,
    inference(simplify,[status(thm)],[zip_derived_cl1586]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_9 @ X0 @ X1 )
      | ( zip_tseitin_10 @ X0 @ X1 )
      | ( zip_tseitin_11 @ X0 @ X1 )
      | ( zip_tseitin_12 @ X0 @ X1 )
      | ~ ( happens @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = push )
      | ~ ( zip_tseitin_9 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl756,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( happens @ X0 @ X1 )
      | ( zip_tseitin_12 @ X1 @ X0 )
      | ( zip_tseitin_11 @ X1 @ X0 )
      | ( zip_tseitin_10 @ X1 @ X0 )
      | ( X0 = push ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl85,zip_derived_cl73]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = n2 )
      | ~ ( zip_tseitin_10 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl772,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = push )
      | ( zip_tseitin_11 @ X0 @ X1 )
      | ( zip_tseitin_12 @ X0 @ X1 )
      | ~ ( happens @ X1 @ X0 )
      | ( X0 = n2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl756,zip_derived_cl77]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = push )
      | ~ ( zip_tseitin_12 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1133,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = n2 )
      | ~ ( happens @ X1 @ X0 )
      | ( zip_tseitin_11 @ X0 @ X1 )
      | ( X1 = push ) ),
    inference(clc,[status(thm)],[zip_derived_cl772,zip_derived_cl82]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = n1 )
      | ~ ( zip_tseitin_11 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl1136,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = push )
      | ~ ( happens @ X0 @ X1 )
      | ( X1 = n2 )
      | ( X1 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1133,zip_derived_cl80]) ).

thf(zip_derived_cl2370,plain,
    ( ( pull = push )
    | ( n0 = n2 )
    | ( n0 = n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1594,zip_derived_cl1136]) ).

thf(less_or_equal,axiom,
    ! [X: $i,Y: $i] :
      ( ( less_or_equal @ X @ Y )
    <=> ( ( less @ X @ Y )
        | ( X = Y ) ) ) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i] :
      ( ( less_or_equal @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(less1,axiom,
    ! [X: $i] :
      ( ( less @ X @ n1 )
    <=> ( less_or_equal @ X @ n0 ) ) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i] :
      ( ( less @ X0 @ n1 )
      | ~ ( less_or_equal @ X0 @ n0 ) ),
    inference(cnf,[status(esa)],[less1]) ).

thf(zip_derived_cl886,plain,
    ! [X0: $i] :
      ( ( X0 != n0 )
      | ( less @ X0 @ n1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl107,zip_derived_cl110]) ).

thf(less_property,axiom,
    ! [X: $i,Y: $i] :
      ( ( less @ X @ Y )
    <=> ( ~ ( less @ Y @ X )
        & ( Y != X ) ) ) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 != X0 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl897,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl128]) ).

thf(zip_derived_cl905,plain,
    n1 != n0,
    inference('s_sup-',[status(thm)],[zip_derived_cl886,zip_derived_cl897]) ).

thf(zip_derived_cl886_001,plain,
    ! [X0: $i] :
      ( ( X0 != n0 )
      | ( less @ X0 @ n1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl107,zip_derived_cl110]) ).

thf(zip_derived_cl107_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( less_or_equal @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(less2,axiom,
    ! [X: $i] :
      ( ( less @ X @ n2 )
    <=> ( less_or_equal @ X @ n1 ) ) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i] :
      ( ( less @ X0 @ n2 )
      | ~ ( less_or_equal @ X0 @ n1 ) ),
    inference(cnf,[status(esa)],[less2]) ).

thf(zip_derived_cl887,plain,
    ! [X0: $i] :
      ( ( X0 != n1 )
      | ( less @ X0 @ n2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl107,zip_derived_cl112]) ).

thf(zip_derived_cl127,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl916,plain,
    ! [X0: $i] :
      ( ( X0 != n1 )
      | ~ ( less @ n2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl887,zip_derived_cl127]) ).

thf(zip_derived_cl918,plain,
    ~ ( less @ n2 @ n1 ),
    inference(eq_res,[status(thm)],[zip_derived_cl916]) ).

thf(zip_derived_cl919,plain,
    n2 != n0,
    inference('s_sup-',[status(thm)],[zip_derived_cl886,zip_derived_cl918]) ).

thf(push_not_pull,axiom,
    push != pull ).

thf(zip_derived_cl90,plain,
    push != pull,
    inference(cnf,[status(esa)],[push_not_pull]) ).

thf(zip_derived_cl2377,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2370,zip_derived_cl905,zip_derived_cl919,zip_derived_cl90]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CSR016+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Iu2wxijG9W true
% 0.13/0.34  % Computer : n029.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 08:35:11 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
% 0.13/0.35  % 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
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.53/0.81  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.88/1.04  % Solved by fo/fo6_bce.sh.
% 1.88/1.04  % BCE start: 135
% 1.88/1.04  % BCE eliminated: 2
% 1.88/1.04  % PE start: 133
% 1.88/1.04  logic: eq
% 1.88/1.04  % PE eliminated: 5
% 1.88/1.04  % done 813 iterations in 0.319s
% 1.88/1.04  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.88/1.04  % SZS output start Refutation
% See solution above
% 1.88/1.04  
% 1.88/1.04  
% 1.88/1.04  % Terminating...
% 2.12/1.16  % Runner terminated.
% 2.12/1.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------