TSTP Solution File: CSR018+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR018+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.Wd1Sw5UAT4 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 22:05:16 EDT 2023

% Result   : Theorem 17.38s 3.11s
% Output   : Refutation 17.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   91 (  27 unt;  14 typ;   0 def)
%            Number of atoms       :  349 ( 170 equ;  18 cnn)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  628 (  60   ~;  78   |;  97   &; 342   @)
%                                         (  23 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  14 usr;  12 con; 0-3 aty)
%                                         (  23  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  121 (  23   ^;  98   !;   0   ?; 121   :)

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

thf(backwards_type,type,
    backwards: $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(less_or_equal_type,type,
    less_or_equal: $i > $i > $o ).

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

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(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(zip_derived_cl15,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( happens @ Y0 @ Y1 )
          <=> ( ( ( Y1 = n2 )
                & ( Y0 = push ) )
              | ( ( Y1 = n2 )
                & ( Y0 = pull ) )
              | ( ( Y1 = n1 )
                & ( Y0 = pull ) )
              | ( ( Y1 = n0 )
                & ( Y0 = push ) ) ) ) ) ),
    inference(cnf,[status(esa)],[happens_all_defn]) ).

thf(zip_derived_cl457,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( happens @ X2 @ Y0 )
        <=> ( ( ( Y0 = n2 )
              & ( X2 = push ) )
            | ( ( Y0 = n2 )
              & ( X2 = pull ) )
            | ( ( Y0 = n1 )
              & ( X2 = pull ) )
            | ( ( Y0 = n0 )
              & ( X2 = push ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl458,plain,
    ! [X2: $i,X4: $i] :
      ( ( happens @ X2 @ X4 )
    <=> ( ( ( X4 = n2 )
          & ( X2 = push ) )
        | ( ( X4 = n2 )
          & ( X2 = pull ) )
        | ( ( X4 = n1 )
          & ( X2 = pull ) )
        | ( ( X4 = n0 )
          & ( X2 = push ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl457]) ).

thf(zip_derived_cl459,plain,
    ! [X2: $i,X4: $i] :
      ( ( happens @ X2 @ X4 )
      = ( ( ( X4 = n2 )
          & ( X2 = push ) )
        | ( ( X4 = n2 )
          & ( X2 = pull ) )
        | ( ( X4 = n1 )
          & ( X2 = pull ) )
        | ( ( X4 = n0 )
          & ( X2 = push ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl458]) ).

thf(zip_derived_cl460,plain,
    ! [X2: $i,X4: $i] :
      ( ( happens @ X2 @ X4 )
      | ~ ( ( ( X4 = n2 )
            & ( X2 = push ) )
          | ( ( X4 = n2 )
            & ( X2 = pull ) )
          | ( ( X4 = n1 )
            & ( X2 = pull ) )
          | ( ( X4 = n0 )
            & ( X2 = push ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl459]) ).

thf(zip_derived_cl469,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ( X4 = n1 )
          & ( X2 = pull ) )
      | ( happens @ X2 @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl460]) ).

thf(zip_derived_cl473,plain,
    ! [X2: $i,X4: $i] :
      ( ( X4 != n1 )
      | ( X2 != pull )
      | ( happens @ X2 @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl469]) ).

thf(zip_derived_cl477,plain,
    ! [X2: $i,X4: $i] :
      ( ( X4 != n1 )
      | ( X2 != pull )
      | ( happens @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl473]) ).

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(zip_derived_cl12,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( initiates @ Y0 @ Y1 @ Y2 )
              <=> ( ( ( happens @ push @ Y2 )
                    & ( Y1 = spinning )
                    & ( Y0 = pull ) )
                  | ( ( (~) @ ( happens @ push @ Y2 ) )
                    & ( Y1 = backwards )
                    & ( Y0 = pull ) )
                  | ( ( (~) @ ( happens @ pull @ Y2 ) )
                    & ( Y1 = forwards )
                    & ( Y0 = push ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[initiates_all_defn]) ).

thf(zip_derived_cl480,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( initiates @ X2 @ Y0 @ Y1 )
            <=> ( ( ( happens @ push @ Y1 )
                  & ( Y0 = spinning )
                  & ( X2 = pull ) )
                | ( ( (~) @ ( happens @ push @ Y1 ) )
                  & ( Y0 = backwards )
                  & ( X2 = pull ) )
                | ( ( (~) @ ( happens @ pull @ Y1 ) )
                  & ( Y0 = forwards )
                  & ( X2 = push ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl481,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( initiates @ X2 @ X4 @ Y0 )
        <=> ( ( ( happens @ push @ Y0 )
              & ( X4 = spinning )
              & ( X2 = pull ) )
            | ( ( (~) @ ( happens @ push @ Y0 ) )
              & ( X4 = backwards )
              & ( X2 = pull ) )
            | ( ( (~) @ ( happens @ pull @ Y0 ) )
              & ( X4 = forwards )
              & ( X2 = push ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl480]) ).

thf(zip_derived_cl482,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( initiates @ X2 @ X4 @ X6 )
    <=> ( ( ( happens @ push @ X6 )
          & ( X4 = spinning )
          & ( X2 = pull ) )
        | ( ( (~) @ ( happens @ push @ X6 ) )
          & ( X4 = backwards )
          & ( X2 = pull ) )
        | ( ( (~) @ ( happens @ pull @ X6 ) )
          & ( X4 = forwards )
          & ( X2 = push ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl481]) ).

thf(zip_derived_cl483,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( initiates @ X2 @ X4 @ X6 )
      = ( ( ( happens @ push @ X6 )
          & ( X4 = spinning )
          & ( X2 = pull ) )
        | ( ( (~) @ ( happens @ push @ X6 ) )
          & ( X4 = backwards )
          & ( X2 = pull ) )
        | ( ( (~) @ ( happens @ pull @ X6 ) )
          & ( X4 = forwards )
          & ( X2 = push ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl482]) ).

thf(zip_derived_cl484,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( initiates @ X2 @ X4 @ X6 )
      | ~ ( ( ( happens @ push @ X6 )
            & ( X4 = spinning )
            & ( X2 = pull ) )
          | ( ( (~) @ ( happens @ push @ X6 ) )
            & ( X4 = backwards )
            & ( X2 = pull ) )
          | ( ( (~) @ ( happens @ pull @ X6 ) )
            & ( X4 = forwards )
            & ( X2 = push ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl483]) ).

thf(zip_derived_cl493,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( ( (~) @ ( happens @ push @ X6 ) )
          & ( X4 = backwards )
          & ( X2 = pull ) )
      | ( initiates @ X2 @ X4 @ X6 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl484]) ).

thf(zip_derived_cl496,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( happens @ push @ X6 )
      | ( X4 != backwards )
      | ( X2 != pull )
      | ( initiates @ X2 @ X4 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl493]) ).

thf(zip_derived_cl499,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( happens @ push @ X6 )
      | ( X4 != backwards )
      | ( X2 != pull )
      | ( initiates @ X2 @ X4 @ X6 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl496]) ).

thf(zip_derived_cl507,plain,
    ! [X0: $i,X1: $i] :
      ( ( initiates @ X1 @ backwards @ X0 )
      | ( X1 != pull )
      | ( happens @ push @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl499]) ).

thf(zip_derived_cl4073,plain,
    ! [X0: $i] :
      ( ( happens @ push @ X0 )
      | ( initiates @ pull @ backwards @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl507]) ).

thf(zip_derived_cl459_001,plain,
    ! [X2: $i,X4: $i] :
      ( ( happens @ X2 @ X4 )
      = ( ( ( X4 = n2 )
          & ( X2 = push ) )
        | ( ( X4 = n2 )
          & ( X2 = pull ) )
        | ( ( X4 = n1 )
          & ( X2 = pull ) )
        | ( ( X4 = n0 )
          & ( X2 = push ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl458]) ).

thf(zip_derived_cl462,plain,
    ! [X2: $i,X4: $i] :
      ( ( X4 = n2 )
      | ( ( happens @ X2 @ X4 )
        = ( ( $false
            & ( X2 = push ) )
          | ( $false
            & ( X2 = pull ) )
          | ( ( X4 = n1 )
            & ( X2 = pull ) )
          | ( ( X4 = n0 )
            & ( X2 = push ) ) ) ) ),
    inference(eq_hoist,[status(thm)],[zip_derived_cl459]) ).

thf(zip_derived_cl463,plain,
    ! [X2: $i,X4: $i] :
      ( ( X4 = n2 )
      | ( ( happens @ X2 @ X4 )
        = ( ( ( X4 = n1 )
            & ( X2 = pull ) )
          | ( ( X4 = n0 )
            & ( X2 = push ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl462]) ).

thf(zip_derived_cl3815,plain,
    ! [X0: $i] :
      ( ( n1 = n2 )
      | ( ( happens @ X0 @ n1 )
        = ( ( $true
            & ( X0 = pull ) )
          | ( ( n1 = n0 )
            & ( X0 = push ) ) ) ) ),
    inference(eq_rw,[status(thm)],[zip_derived_cl463]) ).

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

thf(zip_derived_cl31,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( less_or_equal @ Y0 @ Y1 )
          <=> ( ( Y0 = Y1 )
              | ( less @ Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[less_or_equal]) ).

thf(zip_derived_cl241,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( less_or_equal @ X2 @ Y0 )
        <=> ( ( X2 = Y0 )
            | ( less @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl242,plain,
    ! [X2: $i,X4: $i] :
      ( ( less_or_equal @ X2 @ X4 )
    <=> ( ( X2 = X4 )
        | ( less @ X2 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl241]) ).

thf(zip_derived_cl243,plain,
    ! [X2: $i,X4: $i] :
      ( ( less_or_equal @ X2 @ X4 )
      = ( ( X2 = X4 )
        | ( less @ X2 @ X4 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl242]) ).

thf(zip_derived_cl244,plain,
    ! [X2: $i,X4: $i] :
      ( ( less_or_equal @ X2 @ X4 )
      | ~ ( ( X2 = X4 )
          | ( less @ X2 @ X4 ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl243]) ).

thf(zip_derived_cl250,plain,
    ! [X2: $i,X4: $i] :
      ( ( X2 != X4 )
      | ( less_or_equal @ X2 @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl244]) ).

thf(zip_derived_cl252,plain,
    ! [X2: $i,X4: $i] :
      ( ( X2 != X4 )
      | ( less_or_equal @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl250]) ).

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

thf(zip_derived_cl34,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( less @ Y0 @ n2 )
      <=> ( less_or_equal @ Y0 @ n1 ) ) ),
    inference(cnf,[status(esa)],[less2]) ).

thf(zip_derived_cl93,plain,
    ! [X2: $i] :
      ( ( less @ X2 @ n2 )
    <=> ( less_or_equal @ X2 @ n1 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl94,plain,
    ! [X2: $i] :
      ( ( less @ X2 @ n2 )
      = ( less_or_equal @ X2 @ n1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl93]) ).

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

thf(zip_derived_cl42,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( less @ Y0 @ Y1 )
          <=> ( ( Y1 != Y0 )
              & ( (~) @ ( less @ Y1 @ Y0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[less_property]) ).

thf(zip_derived_cl296,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( less @ X2 @ Y0 )
        <=> ( ( Y0 != X2 )
            & ( (~) @ ( less @ Y0 @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl297,plain,
    ! [X2: $i,X4: $i] :
      ( ( less @ X2 @ X4 )
    <=> ( ( X4 != X2 )
        & ( (~) @ ( less @ X4 @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl296]) ).

thf(zip_derived_cl298,plain,
    ! [X2: $i,X4: $i] :
      ( ( less @ X2 @ X4 )
      = ( ( X4 != X2 )
        & ( (~) @ ( less @ X4 @ X2 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl297]) ).

thf(zip_derived_cl304,plain,
    ! [X0: $i] :
      ( ( less @ X0 @ X0 )
      = ( $false
        & ( (~) @ ( less @ X0 @ X0 ) ) ) ),
    inference(neq_rw,[status(thm)],[zip_derived_cl298]) ).

thf(zip_derived_cl305,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ X0 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl304]) ).

thf(zip_derived_cl308,plain,
    ~ ( less_or_equal @ n2 @ n1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl305]) ).

thf(zip_derived_cl324,plain,
    n2 != n1,
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl308]) ).

thf(zip_derived_cl3816,plain,
    ! [X0: $i] :
      ( ( happens @ X0 @ n1 )
      = ( ( $true
          & ( X0 = pull ) )
        | ( ( n1 = n0 )
          & ( X0 = push ) ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3815,zip_derived_cl324]) ).

thf(zip_derived_cl252_002,plain,
    ! [X2: $i,X4: $i] :
      ( ( X2 != X4 )
      | ( less_or_equal @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl250]) ).

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

thf(zip_derived_cl33,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( less @ Y0 @ n1 )
      <=> ( less_or_equal @ Y0 @ n0 ) ) ),
    inference(cnf,[status(esa)],[less1]) ).

thf(zip_derived_cl136,plain,
    ! [X2: $i] :
      ( ( less @ X2 @ n1 )
    <=> ( less_or_equal @ X2 @ n0 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl137,plain,
    ! [X2: $i] :
      ( ( less @ X2 @ n1 )
      = ( less_or_equal @ X2 @ n0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl136]) ).

thf(zip_derived_cl305_003,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ X0 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl304]) ).

thf(zip_derived_cl306,plain,
    ~ ( less_or_equal @ n1 @ n0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl305]) ).

thf(zip_derived_cl414,plain,
    n1 != n0,
    inference('s_sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl306]) ).

thf(zip_derived_cl3817,plain,
    ! [X0: $i] :
      ( ( happens @ X0 @ n1 )
      = ( ( $true
          & ( X0 = pull ) )
        | ( $false
          & ( X0 = push ) ) ) ),
    inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl3816,zip_derived_cl414]) ).

thf(zip_derived_cl3818,plain,
    ! [X0: $i] :
      ( ( happens @ X0 @ n1 )
      = ( X0 = pull ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl3817]) ).

thf(zip_derived_cl25588,plain,
    ( ( initiates @ pull @ backwards @ n1 )
    | ( push = pull ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4073,zip_derived_cl3818]) ).

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

thf(zip_derived_cl16,plain,
    push != pull,
    inference(cnf,[status(esa)],[push_not_pull]) ).

thf(zip_derived_cl25604,plain,
    initiates @ pull @ backwards @ n1,
    inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl25588,zip_derived_cl16]) ).

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

thf(zip_derived_cl8,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( ( initiates @ Y0 @ Y2 @ Y1 )
                  & ( happens @ Y0 @ Y1 ) )
               => ( holdsAt @ Y2 @ ( plus @ Y1 @ n1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[happens_holds]) ).

thf(zip_derived_cl403,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( ( initiates @ X2 @ Y1 @ Y0 )
                & ( happens @ X2 @ Y0 ) )
             => ( holdsAt @ Y1 @ ( plus @ Y0 @ n1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl404,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( ( initiates @ X2 @ Y0 @ X4 )
            & ( happens @ X2 @ X4 ) )
         => ( holdsAt @ Y0 @ ( plus @ X4 @ n1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl403]) ).

thf(zip_derived_cl405,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( ( initiates @ X2 @ X6 @ X4 )
        & ( happens @ X2 @ X4 ) )
     => ( holdsAt @ X6 @ ( plus @ X4 @ n1 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl404]) ).

thf(zip_derived_cl406,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( ( initiates @ X2 @ X6 @ X4 )
          & ( happens @ X2 @ X4 ) )
      | ( holdsAt @ X6 @ ( plus @ X4 @ n1 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl405]) ).

thf(zip_derived_cl407,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( initiates @ X2 @ X6 @ X4 )
      | ~ ( happens @ X2 @ X4 )
      | ( holdsAt @ X6 @ ( plus @ X4 @ n1 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl406]) ).

thf(zip_derived_cl25607,plain,
    ( ~ ( happens @ pull @ n1 )
    | ( holdsAt @ backwards @ ( plus @ n1 @ n1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25604,zip_derived_cl407]) ).

thf(plus1_1,axiom,
    ( ( plus @ n1 @ n1 )
    = n2 ) ).

thf(zip_derived_cl24,plain,
    ( ( plus @ n1 @ n1 )
    = n2 ),
    inference(cnf,[status(esa)],[plus1_1]) ).

thf(backwards_2,conjecture,
    holdsAt @ backwards @ n2 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( holdsAt @ backwards @ n2 ),
    inference('cnf.neg',[status(esa)],[backwards_2]) ).

thf(zip_derived_cl47,plain,
    ~ ( holdsAt @ backwards @ n2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25616,plain,
    ~ ( happens @ pull @ n1 ),
    inference(demod,[status(thm)],[zip_derived_cl25607,zip_derived_cl24,zip_derived_cl47]) ).

thf(zip_derived_cl25626,plain,
    ( ( pull != pull )
    | ( n1 != n1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl477,zip_derived_cl25616]) ).

thf(zip_derived_cl25632,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl25626]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR018+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.Wd1Sw5UAT4 true
% 0.13/0.34  % Computer : n020.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 11:36:44 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
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.23/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.25/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 17.38/3.11  % Solved by fo/fo1_lcnf.sh.
% 17.38/3.11  % done 8147 iterations in 2.290s
% 17.38/3.11  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.38/3.11  % SZS output start Refutation
% See solution above
% 17.38/3.11  
% 17.38/3.11  
% 17.38/3.11  % Terminating...
% 17.81/3.15  % Runner terminated.
% 17.81/3.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------