%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : AGT035^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FLaUiqzqoW true

% Computer : n025.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 15:58:30 EDT 2023

% Result   : Theorem 1.55s 0.81s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   48 (  20 unt;  11 typ;   0 def)
%            Number of atoms       :   78 (  12 equ;   3 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  163 (  12   ~;   9   |;   0   &; 125   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   44 (  44   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  10 usr;   7 con; 0-3 aty)
%                                         (   8  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   68 (  28   ^;  36   !;   4   ?;  68   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mu_type,type,
    mu: $tType ).

thf(mbox_type,type,
    mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(likes_type,type,
    likes: mu > mu > $i > $o ).

thf(a1_type,type,
    a1: $i > $i > $o ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf('#sk2_type',type,
    '#sk2': $i > $i ).

thf(cola_type,type,
    cola: mu ).

thf(mserial_type,type,
    mserial: ( $i > $i > $o ) > $o ).

thf(msymmetric_type,type,
    msymmetric: ( $i > $i > $o ) > $o ).

thf(jan_type,type,
    jan: mu ).

thf(mvalid_type,type,
    mvalid: ( $i > $o ) > $o ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ) ).

thf('0',plain,
    ( mvalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mvalid]) ).

thf('1',plain,
    ( mvalid
    = ( ^ [V_1: $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 ) ) ),
    define([status(thm)]) ).

thf(conjecture,conjecture,
    mvalid @ ( likes @ jan @ cola ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i] : ( likes @ jan @ cola @ X4 ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i] : ( likes @ jan @ cola @ X4 ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ~ ( !!
      @ ^ [Y0: $i] : ( likes @ jan @ cola @ Y0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl40,plain,
    ~ ( likes @ jan @ cola @ '#sk1' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl39]) ).

thf(mserial,axiom,
    ( mserial
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i] :
        ? [T: $i] : ( R @ S @ T ) ) ) ).

thf('2',plain,
    ( mserial
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i] :
        ? [T: $i] : ( R @ S @ T ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mserial]) ).

thf('3',plain,
    ( mserial
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i] :
        ? [X6: $i] : ( V_1 @ X4 @ X6 ) ) ),
    define([status(thm)]) ).

thf(axioms_D_a1,axiom,
    mserial @ a1 ).

thf(zf_stmt_2,axiom,
    ! [X4: $i] :
    ? [X6: $i] : ( a1 @ X4 @ X6 ) ).

thf(zip_derived_cl21,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i] : ( a1 @ Y0 @ Y1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl41,plain,
    ! [X2: $i] :
      ( ??
      @ ^ [Y0: $i] : ( a1 @ X2 @ Y0 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl42,plain,
    ! [X2: $i] : ( a1 @ X2 @ ( '#sk2' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).

thf(msymmetric,axiom,
    ( msymmetric
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i] :
          ( ( R @ S @ T )
         => ( R @ T @ S ) ) ) ) ).

thf('4',plain,
    ( msymmetric
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i] :
          ( ( R @ S @ T )
         => ( R @ T @ S ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[msymmetric]) ).

thf('5',plain,
    ( msymmetric
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i,X6: $i] :
          ( ( V_1 @ X4 @ X6 )
         => ( V_1 @ X6 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(axioms_B_a1,axiom,
    msymmetric @ a1 ).

thf(zf_stmt_3,axiom,
    ! [X4: $i,X6: $i] :
      ( ( a1 @ X4 @ X6 )
     => ( a1 @ X6 @ X4 ) ) ).

thf(zip_derived_cl18,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( a1 @ Y0 @ Y1 )
           => ( a1 @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl47,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( a1 @ X2 @ Y0 )
         => ( a1 @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl48,plain,
    ! [X2: $i,X4: $i] :
      ( ( a1 @ X2 @ X4 )
     => ( a1 @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl49,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( a1 @ X2 @ X4 )
      | ( a1 @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] : ( a1 @ ( '#sk2' @ X0 ) @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl49]) ).

thf(mbox,axiom,
    ( mbox
    = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
        ! [V: $i] :
          ( ( Phi @ V )
          | ~ ( R @ W @ V ) ) ) ) ).

thf('6',plain,
    ( mbox
    = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
        ! [V: $i] :
          ( ( Phi @ V )
          | ~ ( R @ W @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox]) ).

thf('7',plain,
    ( mbox
    = ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
        ! [X4: $i] :
          ( ( V_2 @ X4 )
          | ~ ( V_1 @ V_3 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(axiom_a1_1,axiom,
    mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) ).

thf(zf_stmt_4,axiom,
    ! [X4: $i,X6: $i] :
      ( ~ ( a1 @ X4 @ X6 )
      | ( likes @ jan @ cola @ X6 ) ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( (~) @ ( a1 @ Y0 @ Y1 ) )
            | ( likes @ jan @ cola @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl85,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( (~) @ ( a1 @ X2 @ Y0 ) )
          | ( likes @ jan @ cola @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl86,plain,
    ! [X2: $i,X4: $i] :
      ( ( (~) @ ( a1 @ X2 @ X4 ) )
      | ( likes @ jan @ cola @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl87,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( a1 @ X2 @ X4 )
      | ( likes @ jan @ cola @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i] : ( likes @ jan @ cola @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl87]) ).

thf(zip_derived_cl92,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl88]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : AGT035^1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FLaUiqzqoW true
% 0.17/0.34  % Computer : n025.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Sun Aug 27 17:33:24 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % Running in HO mode
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.55/0.81  % Solved by lams/35_full_unif4.sh.
% 1.55/0.81  % done 13 iterations in 0.048s
% 1.55/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.55/0.81  % SZS output start Refutation
% See solution above
% 1.55/0.81  
% 1.55/0.81  
% 1.55/0.81  % Terminating...
% 1.69/0.86  % Runner terminated.
% 1.69/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------