TSTP Solution File: SWV454+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV454+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zGXtw1oMCE true

% Computer : n015.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 00:10:02 EDT 2023

% Result   : Theorem 11.69s 2.30s
% Output   : Refutation 11.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   55 (  15 unt;  28 typ;   0 def)
%            Number of atoms       :  154 (  71 equ;   0 cnn)
%            Maximal formula atoms :   49 (   5 avg)
%            Number of connectives :  635 (  77   ~;  36   |;  50   &; 431   @)
%                                         (   1 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   30 (  28 usr;  18 con; 0-2 aty)
%            Number of variables   :   77 (   0   ^;  77   !;   0   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
thf(wait_type,type,
    wait: $i ).

thf(m_Ack_type,type,
    m_Ack: $i > $i > $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(down_type,type,
    down: $i ).

thf(alive_type,type,
    alive: $i ).

thf(setIn_type,type,
    setIn: $i > $i > $o ).

thf(elem_type,type,
    elem: $i > $i > $o ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(s_type,type,
    s: $i > $i ).

thf(m_Down_type,type,
    m_Down: $i > $i ).

thf(elid_type,type,
    elid: $i ).

thf(norm_type,type,
    norm: $i ).

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

thf(status_type,type,
    status: $i ).

thf(nbr_proc_type,type,
    nbr_proc: $i ).

thf(sk__8_type,type,
    sk__8: $i ).

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

thf(m_Halt_type,type,
    m_Halt: $i > $i ).

thf(zero_type,type,
    zero: $i ).

thf(elec_1_type,type,
    elec_1: $i ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(cons_type,type,
    cons: $i > $i > $i ).

thf(index_type,type,
    index: $i > $i > $i ).

thf(host_type,type,
    host: $i > $i ).

thf(queue_type,type,
    queue: $i > $i ).

thf(ldr_type,type,
    ldr: $i ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(conj,conjecture,
    ! [V: $i,W: $i,X: $i,Y: $i] :
      ( ( ! [Z: $i,Pid0: $i] :
            ( ( setIn @ Pid0 @ alive )
           => ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( setIn @ Pid0 @ alive ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ( ( host @ Pid0 )
             != ( host @ Z ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ~ ( setIn @ Z @ alive )
              & ( leq @ Pid0 @ Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ~ ( setIn @ Pid0 @ alive ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( Pid0 != Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ( ~ ( setIn @ Z @ alive )
              | ~ ( setIn @ Pid0 @ alive ) ) )
        & ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
            ( ( ( ( host @ Pid20 )
               != ( host @ Z ) )
              & ( setIn @ Z @ alive )
              & ( setIn @ Pid20 @ alive )
              & ( ( host @ Pid30 )
                = ( host @ Z ) )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) ) )
           => ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
                & ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
        & ( ( queue @ ( host @ X ) )
          = ( cons @ ( m_Down @ Y ) @ V ) ) )
     => ( ( setIn @ X @ alive )
       => ( ~ ( leq @ ( host @ X ) @ ( host @ Y ) )
         => ( ~ ( ( ( ( index @ ldr @ ( host @ X ) )
                    = ( host @ Y ) )
                  & ( ( index @ status @ ( host @ X ) )
                    = norm ) )
                | ( ( ( index @ status @ ( host @ X ) )
                    = wait )
                  & ( ( host @ Y )
                    = ( host @ ( index @ elid @ ( host @ X ) ) ) ) ) )
           => ( ( ! [Z: $i] :
                    ( ( ~ ( leq @ ( host @ X ) @ Z )
                      & ( leq @ ( s @ zero ) @ Z ) )
                   => ( ( setIn @ Z @ ( index @ down @ ( host @ X ) ) )
                      | ( Z
                        = ( host @ Y ) ) ) )
                & ( ( index @ status @ ( host @ X ) )
                  = elec_1 ) )
             => ( ~ ( leq @ nbr_proc @ ( host @ X ) )
               => ! [Z: $i] :
                    ( ( ( s @ ( host @ X ) )
                     != ( host @ Z ) )
                   => ( ( ( host @ X )
                        = ( host @ Z ) )
                     => ! [W0: $i,X0: $i] :
                          ( ( ( s @ ( host @ X ) )
                           != ( host @ X0 ) )
                         => ( ( ( host @ X )
                             != ( host @ X0 ) )
                           => ! [Y0: $i] :
                                ( ( ( ( host @ X0 )
                                   != ( host @ Z ) )
                                  & ( setIn @ Z @ alive )
                                  & ( setIn @ X0 @ alive )
                                  & ( ( host @ W0 )
                                    = ( host @ Z ) )
                                  & ( ( host @ Y0 )
                                    = ( host @ X0 ) ) )
                               => ~ ( ( elem @ ( m_Down @ Y0 ) @ V )
                                    & ( elem @ ( m_Down @ W0 ) @ ( queue @ ( host @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V: $i,W: $i,X: $i,Y: $i] :
        ( ( ! [Z: $i,Pid0: $i] :
              ( ( setIn @ Pid0 @ alive )
             => ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
             => ~ ( setIn @ Pid0 @ alive ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
             => ( ( host @ Pid0 )
               != ( host @ Z ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
             => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
          & ! [Z: $i,Pid20: $i,Pid0: $i] :
              ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
             => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ~ ( setIn @ Z @ alive )
                & ( leq @ Pid0 @ Z )
                & ( ( host @ Pid0 )
                  = ( host @ Z ) ) )
             => ~ ( setIn @ Pid0 @ alive ) )
          & ! [Z: $i,Pid0: $i] :
              ( ( ( Pid0 != Z )
                & ( ( host @ Pid0 )
                  = ( host @ Z ) ) )
             => ( ~ ( setIn @ Z @ alive )
                | ~ ( setIn @ Pid0 @ alive ) ) )
          & ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
              ( ( ( ( host @ Pid20 )
                 != ( host @ Z ) )
                & ( setIn @ Z @ alive )
                & ( setIn @ Pid20 @ alive )
                & ( ( host @ Pid30 )
                  = ( host @ Z ) )
                & ( ( host @ Pid0 )
                  = ( host @ Pid20 ) ) )
             => ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
                  & ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
          & ( ( queue @ ( host @ X ) )
            = ( cons @ ( m_Down @ Y ) @ V ) ) )
       => ( ( setIn @ X @ alive )
         => ( ~ ( leq @ ( host @ X ) @ ( host @ Y ) )
           => ( ~ ( ( ( ( index @ ldr @ ( host @ X ) )
                      = ( host @ Y ) )
                    & ( ( index @ status @ ( host @ X ) )
                      = norm ) )
                  | ( ( ( index @ status @ ( host @ X ) )
                      = wait )
                    & ( ( host @ Y )
                      = ( host @ ( index @ elid @ ( host @ X ) ) ) ) ) )
             => ( ( ! [Z: $i] :
                      ( ( ~ ( leq @ ( host @ X ) @ Z )
                        & ( leq @ ( s @ zero ) @ Z ) )
                     => ( ( setIn @ Z @ ( index @ down @ ( host @ X ) ) )
                        | ( Z
                          = ( host @ Y ) ) ) )
                  & ( ( index @ status @ ( host @ X ) )
                    = elec_1 ) )
               => ( ~ ( leq @ nbr_proc @ ( host @ X ) )
                 => ! [Z: $i] :
                      ( ( ( s @ ( host @ X ) )
                       != ( host @ Z ) )
                     => ( ( ( host @ X )
                          = ( host @ Z ) )
                       => ! [W0: $i,X0: $i] :
                            ( ( ( s @ ( host @ X ) )
                             != ( host @ X0 ) )
                           => ( ( ( host @ X )
                               != ( host @ X0 ) )
                             => ! [Y0: $i] :
                                  ( ( ( ( host @ X0 )
                                     != ( host @ Z ) )
                                    & ( setIn @ Z @ alive )
                                    & ( setIn @ X0 @ alive )
                                    & ( ( host @ W0 )
                                      = ( host @ Z ) )
                                    & ( ( host @ Y0 )
                                      = ( host @ X0 ) ) )
                                 => ~ ( ( elem @ ( m_Down @ Y0 ) @ V )
                                      & ( elem @ ( m_Down @ W0 ) @ ( queue @ ( host @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj]) ).

thf(zip_derived_cl111,plain,
    elem @ ( m_Down @ sk__9 ) @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl106,plain,
    elem @ ( m_Down @ sk__7 ) @ ( queue @ ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94,plain,
    ( ( queue @ ( host @ sk__5 ) )
    = ( cons @ ( m_Down @ sk__10 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(axiom_46,axiom,
    ! [X: $i,Y: $i,Q: $i] :
      ( ( elem @ X @ ( cons @ Y @ Q ) )
    <=> ( ( X = Y )
        | ( elem @ X @ Q ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( elem @ X0 @ ( cons @ X1 @ X2 ) )
      | ~ ( elem @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[axiom_46]) ).

thf(zip_derived_cl524,plain,
    ! [X0: $i] :
      ( ( elem @ X0 @ ( queue @ ( host @ sk__5 ) ) )
      | ~ ( elem @ X0 @ sk__3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl94,zip_derived_cl48]) ).

thf(zip_derived_cl102,plain,
    ! [X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( elem @ ( m_Down @ X16 ) @ ( queue @ ( host @ X17 ) ) )
      | ( ( host @ X16 )
       != ( host @ X18 ) )
      | ~ ( setIn @ X17 @ alive )
      | ~ ( setIn @ X18 @ alive )
      | ( ( host @ X17 )
        = ( host @ X18 ) )
      | ( ( host @ X19 )
       != ( host @ X17 ) )
      | ~ ( elem @ ( m_Down @ X19 ) @ ( queue @ ( host @ X18 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ sk__3 )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ ( host @ X1 ) ) )
      | ( ( host @ X2 )
       != ( host @ sk__5 ) )
      | ( ( host @ sk__5 )
        = ( host @ X1 ) )
      | ~ ( setIn @ X1 @ alive )
      | ~ ( setIn @ sk__5 @ alive )
      | ( ( host @ X0 )
       != ( host @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl102]) ).

thf(zip_derived_cl116,plain,
    setIn @ sk__5 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1250,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ sk__3 )
      | ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ ( host @ X1 ) ) )
      | ( ( host @ X2 )
       != ( host @ sk__5 ) )
      | ( ( host @ sk__5 )
        = ( host @ X1 ) )
      | ~ ( setIn @ X1 @ alive )
      | ( ( host @ X0 )
       != ( host @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1240,zip_derived_cl116]) ).

thf(zip_derived_cl9295,plain,
    ! [X0: $i] :
      ( ( ( host @ X0 )
       != ( host @ sk__8 ) )
      | ~ ( setIn @ sk__8 @ alive )
      | ( ( host @ sk__5 )
        = ( host @ sk__8 ) )
      | ( ( host @ sk__7 )
       != ( host @ sk__5 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl1250]) ).

thf(zip_derived_cl108,plain,
    setIn @ sk__8 @ alive,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl107,plain,
    ( ( host @ sk__7 )
    = ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl366,plain,
    ( ( host @ sk__7 )
    = ( host @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl104]) ).

thf(zip_derived_cl9307,plain,
    ! [X0: $i] :
      ( ( ( host @ X0 )
       != ( host @ sk__8 ) )
      | ( ( host @ sk__5 )
        = ( host @ sk__8 ) )
      | ( ( host @ sk__5 )
       != ( host @ sk__5 ) )
      | ~ ( elem @ ( m_Down @ X0 ) @ sk__3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9295,zip_derived_cl108,zip_derived_cl366]) ).

thf(zip_derived_cl9308,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ sk__3 )
      | ( ( host @ sk__5 )
        = ( host @ sk__8 ) )
      | ( ( host @ X0 )
       != ( host @ sk__8 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9307]) ).

thf(zip_derived_cl110,plain,
    ( ( host @ sk__8 )
   != ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104_001,plain,
    ( ( host @ sk__5 )
    = ( host @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl364,plain,
    ( ( host @ sk__8 )
   != ( host @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl104]) ).

thf(zip_derived_cl9309,plain,
    ! [X0: $i] :
      ( ~ ( elem @ ( m_Down @ X0 ) @ sk__3 )
      | ( ( host @ X0 )
       != ( host @ sk__8 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl9308,zip_derived_cl364]) ).

thf(zip_derived_cl9315,plain,
    ( ( host @ sk__9 )
   != ( host @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl9309]) ).

thf(zip_derived_cl112,plain,
    ( ( host @ sk__9 )
    = ( host @ sk__8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9317,plain,
    ( ( host @ sk__8 )
   != ( host @ sk__8 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9315,zip_derived_cl112]) ).

thf(zip_derived_cl9318,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl9317]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV454+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zGXtw1oMCE true
% 0.13/0.34  % Computer : n015.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 : Tue Aug 29 07:49:11 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/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
% 0.20/0.67  % Total configuration time : 435
% 0.20/0.67  % Estimated wc time : 1092
% 0.20/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 11.69/2.30  % Solved by fo/fo3_bce.sh.
% 11.69/2.30  % BCE start: 117
% 11.69/2.30  % BCE eliminated: 0
% 11.69/2.30  % PE start: 117
% 11.69/2.30  logic: eq
% 11.69/2.30  % PE eliminated: 0
% 11.69/2.30  % done 2823 iterations in 1.518s
% 11.69/2.30  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.69/2.30  % SZS output start Refutation
% See solution above
% 11.69/2.30  
% 11.69/2.30  
% 11.69/2.30  % Terminating...
% 12.15/2.37  % Runner terminated.
% 12.15/2.38  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------