TSTP Solution File: AGT032^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : AGT032^2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GpY5UDwcbe 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 15:58:28 EDT 2023

% Result   : Theorem 2.05s 1.09s
% Output   : Refutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   64
% Syntax   : Number of formulae    :  138 (  43 unt;  27 typ;   0 def)
%            Number of atoms       :  355 (  27 equ;   0 cnn)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives : 1256 ( 101   ~; 142   |;   0   &;1011   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  129 ( 129   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  24 usr;   6 con; 0-4 aty)
%            Number of variables   :  251 (  64   ^; 187   !;   0   ?; 251   :)

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

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

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

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

thf(sk__4_type,type,
    sk__4: $i > $i ).

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

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

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

thf(mand_type,type,
    mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(piotr_type,type,
    piotr: mu ).

thf(mnot_type,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(pepsi_type,type,
    pepsi: mu ).

thf(mimplies_type,type,
    mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(mdia_type,type,
    mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(cola_type,type,
    cola: mu ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > mu > mu > $o ).

thf(a2_type,type,
    a2: $i > $i > $o ).

thf(a3_type,type,
    a3: $i > $i > $o ).

thf(jan_type,type,
    jan: mu ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > mu > mu > $o ).

thf(very_much_likes_type,type,
    very_much_likes: mu > mu > $i > $o ).

thf(mor_type,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(mexists_ind_type,type,
    mexists_ind: ( mu > $i > $o ) > $i > $o ).

thf(mforall_ind_type,type,
    mforall_ind: ( mu > $i > $o ) > $i > $o ).

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(mdia,axiom,
    ( mdia
    = ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ) ).

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

thf('2',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('3',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(mnot,axiom,
    ( mnot
    = ( ^ [Phi: $i > $o,W: $i] :
          ~ ( Phi @ W ) ) ) ).

thf('4',plain,
    ( mnot
    = ( ^ [Phi: $i > $o,W: $i] :
          ~ ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

thf('5',plain,
    ( mnot
    = ( ^ [V_1: $i > $o,V_2: $i] :
          ~ ( V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf('6',plain,
    ( mdia
    = ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mdia,'3','5']) ).

thf('7',plain,
    ( mdia
    = ( ^ [V_1: $i > $i > $o,V_2: $i > $o] : ( mnot @ ( mbox @ V_1 @ ( mnot @ V_2 ) ) ) ) ),
    define([status(thm)]) ).

thf(axiom_a3_2,axiom,
    mvalid @ ( mdia @ a3 @ ( likes @ piotr @ pepsi ) ) ).

thf(zf_stmt_0,axiom,
    ! [X4: $i] :
      ~ ! [X6: $i] :
          ( ~ ( likes @ piotr @ pepsi @ X6 )
          | ~ ( a3 @ X4 @ X6 ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_001,plain,
    ! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_002,plain,
    ! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_003,plain,
    ! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_004,plain,
    ! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_005,plain,
    ! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(axiom_a3_1,axiom,
    mvalid @ ( mbox @ a3 @ ( likes @ jan @ cola ) ) ).

thf(zf_stmt_1,axiom,
    ! [X4: $i,X6: $i] :
      ( ( likes @ jan @ cola @ X6 )
      | ~ ( a3 @ X4 @ X6 ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( likes @ jan @ cola @ X0 )
      | ~ ( a3 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] : ( likes @ jan @ cola @ ( sk__4 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).

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

thf('8',plain,
    ( mforall_ind
    = ( ^ [Phi: mu > $i > $o,W: $i] :
        ! [X: mu] : ( Phi @ X @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).

thf('9',plain,
    ( mforall_ind
    = ( ^ [V_1: mu > $i > $o,V_2: $i] :
        ! [X4: mu] : ( V_1 @ X4 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).

thf(mor,axiom,
    ( mor
    = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
          ( ( Phi @ W )
          | ( Psi @ W ) ) ) ) ).

thf('10',plain,
    ( mor
    = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
          ( ( Phi @ W )
          | ( Psi @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('11',plain,
    ( mor
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          | ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf('12',plain,
    ( mimplies
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies,'11','5']) ).

thf('13',plain,
    ( mimplies
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
    define([status(thm)]) ).

thf(mand,axiom,
    ( mand
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ) ).

thf('14',plain,
    ( mand
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand,'11','5']) ).

thf('15',plain,
    ( mand
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mnot @ ( mor @ ( mnot @ V_1 ) @ ( mnot @ V_2 ) ) ) ) ),
    define([status(thm)]) ).

thf(axiom_a3_4,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] :
          ( mforall_ind
          @ ^ [Y: mu] : ( mbox @ a3 @ ( mimplies @ ( mand @ ( likes @ X @ Y ) @ ( mand @ ( mbox @ a1 @ ( likes @ X @ Y ) ) @ ( mbox @ a2 @ ( likes @ X @ Y ) ) ) ) @ ( very_much_likes @ X @ Y ) ) ) ) ) ) ).

thf(zf_stmt_2,axiom,
    ! [X4: $i,X6: mu,X8: mu,X10: $i] :
      ( ~ ( a3 @ X4 @ X10 )
      | ( very_much_likes @ X6 @ X8 @ X10 )
      | ~ ( likes @ X6 @ X8 @ X10 )
      | ~ ! [X14: $i] :
            ( ~ ( a2 @ X10 @ X14 )
            | ( likes @ X6 @ X8 @ X14 ) )
      | ~ ! [X12: $i] :
            ( ~ ( a1 @ X10 @ X12 )
            | ( likes @ X6 @ X8 @ X12 ) ) ) ).

thf(zf_stmt_3,axiom,
    ! [X14: $i,X10: $i,X8: mu,X6: mu] :
      ( ( ( likes @ X6 @ X8 @ X14 )
        | ~ ( a2 @ X10 @ X14 ) )
     => ( zip_tseitin_0 @ X14 @ X10 @ X8 @ X6 ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: mu,X3: mu] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
      | ( a2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zf_stmt_4,axiom,
    ! [X12: $i,X10: $i,X8: mu,X6: mu] :
      ( ( ( likes @ X6 @ X8 @ X12 )
        | ~ ( a1 @ X10 @ X12 ) )
     => ( zip_tseitin_1 @ X12 @ X10 @ X8 @ X6 ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: mu,X3: mu] :
      ( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
      | ( a1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zf_stmt_5,type,
    zip_tseitin_1: $i > $i > mu > mu > $o ).

thf(zf_stmt_6,type,
    zip_tseitin_0: $i > $i > mu > mu > $o ).

thf(zf_stmt_7,axiom,
    ! [X4: $i,X6: mu,X8: mu,X10: $i] :
      ( ~ ! [X12: $i] : ( zip_tseitin_1 @ X12 @ X10 @ X8 @ X6 )
      | ~ ! [X14: $i] : ( zip_tseitin_0 @ X14 @ X10 @ X8 @ X6 )
      | ~ ( likes @ X6 @ X8 @ X10 )
      | ( very_much_likes @ X6 @ X8 @ X10 )
      | ~ ( a3 @ X4 @ X10 ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: mu,X2: mu,X3: $i] :
      ( ~ ( zip_tseitin_1 @ ( sk__6 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_0 @ ( sk__7 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
      | ~ ( likes @ X2 @ X1 @ X0 )
      | ( very_much_likes @ X2 @ X1 @ X0 )
      | ~ ( a3 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl82,plain,
    ! [X0: mu,X1: mu,X2: $i,X3: $i] :
      ( ( a1 @ X2 @ ( sk__6 @ X2 @ X1 @ X0 ) )
      | ~ ( a3 @ X3 @ X2 )
      | ( very_much_likes @ X0 @ X1 @ X2 )
      | ~ ( likes @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_0 @ ( sk__7 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl18]) ).

thf(zip_derived_cl159,plain,
    ! [X0: mu,X1: mu,X2: $i,X3: $i] :
      ( ( a2 @ X2 @ ( sk__7 @ X2 @ X1 @ X0 ) )
      | ~ ( likes @ X0 @ X1 @ X2 )
      | ( very_much_likes @ X0 @ X1 @ X2 )
      | ~ ( a3 @ X3 @ X2 )
      | ( a1 @ X2 @ ( sk__6 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl82]) ).

thf(zip_derived_cl208,plain,
    ! [X0: $i,X1: $i] :
      ( ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl159]) ).

thf(zip_derived_cl219,plain,
    ! [X0: $i] :
      ( ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl208]) ).

thf(zip_derived_cl219_006,plain,
    ! [X0: $i] :
      ( ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl208]) ).

thf(axiom_a2_1,axiom,
    mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) ).

thf(zf_stmt_8,axiom,
    ! [X4: $i,X6: $i] :
      ( ( likes @ jan @ pepsi @ X6 )
      | ~ ( a2 @ X4 @ X6 ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( likes @ jan @ pepsi @ X0 )
      | ~ ( a2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl228,plain,
    ! [X0: $i] :
      ( ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( likes @ jan @ pepsi @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl4]) ).

thf(axiom_a2_4,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ a2 @ ( mimplies @ ( likes @ X @ pepsi ) @ ( likes @ X @ cola ) ) ) ) ) ).

thf(zf_stmt_9,axiom,
    ! [X4: $i,X6: mu,X8: $i] :
      ( ~ ( likes @ X6 @ pepsi @ X8 )
      | ( likes @ X6 @ cola @ X8 )
      | ~ ( a2 @ X4 @ X8 ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: mu,X1: $i,X2: $i] :
      ( ~ ( likes @ X0 @ pepsi @ X1 )
      | ( likes @ X0 @ cola @ X1 )
      | ~ ( a2 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl396,plain,
    ! [X0: $i,X1: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ~ ( a2 @ X1 @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( likes @ jan @ cola @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl228,zip_derived_cl7]) ).

thf(zip_derived_cl468,plain,
    ! [X0: $i] :
      ( ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( likes @ jan @ cola @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl396]) ).

thf(zip_derived_cl470,plain,
    ! [X0: $i] :
      ( ( likes @ jan @ cola @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl468]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: mu,X3: mu] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( likes @ X3 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl82_007,plain,
    ! [X0: mu,X1: mu,X2: $i,X3: $i] :
      ( ( a1 @ X2 @ ( sk__6 @ X2 @ X1 @ X0 ) )
      | ~ ( a3 @ X3 @ X2 )
      | ( very_much_likes @ X0 @ X1 @ X2 )
      | ~ ( likes @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_0 @ ( sk__7 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl18]) ).

thf(zip_derived_cl160,plain,
    ! [X0: mu,X1: mu,X2: $i,X3: $i] :
      ( ~ ( likes @ X0 @ X1 @ ( sk__7 @ X2 @ X1 @ X0 ) )
      | ~ ( likes @ X0 @ X1 @ X2 )
      | ( very_much_likes @ X0 @ X1 @ X2 )
      | ~ ( a3 @ X3 @ X2 )
      | ( a1 @ X2 @ ( sk__6 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl82]) ).

thf(zip_derived_cl729,plain,
    ! [X0: $i,X1: $i] :
      ( ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ~ ( likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl470,zip_derived_cl160]) ).

thf(zip_derived_cl26_008,plain,
    ! [X0: $i] : ( likes @ jan @ cola @ ( sk__4 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).

thf(zip_derived_cl749,plain,
    ! [X0: $i,X1: $i] :
      ( ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl729,zip_derived_cl26]) ).

thf(zip_derived_cl750,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl749]) ).

thf(zip_derived_cl761,plain,
    ! [X0: $i] :
      ( ( a1 @ ( sk__4 @ X0 ) @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl750]) ).

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

thf(zf_stmt_10,axiom,
    ! [X4: $i,X6: $i] :
      ( ( likes @ jan @ cola @ X6 )
      | ~ ( a1 @ X4 @ X6 ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( likes @ jan @ cola @ X0 )
      | ~ ( a1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl767,plain,
    ! [X0: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( likes @ jan @ cola @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl0]) ).

thf(zip_derived_cl15_009,plain,
    ! [X0: $i,X1: $i,X2: mu,X3: mu] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
      | ( a2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: mu,X3: mu] :
      ( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( likes @ X3 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl18_010,plain,
    ! [X0: $i,X1: mu,X2: mu,X3: $i] :
      ( ~ ( zip_tseitin_1 @ ( sk__6 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_0 @ ( sk__7 @ X0 @ X1 @ X2 ) @ X0 @ X1 @ X2 )
      | ~ ( likes @ X2 @ X1 @ X0 )
      | ( very_much_likes @ X2 @ X1 @ X0 )
      | ~ ( a3 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl83,plain,
    ! [X0: mu,X1: mu,X2: $i,X3: $i] :
      ( ~ ( likes @ X0 @ X1 @ ( sk__6 @ X2 @ X1 @ X0 ) )
      | ~ ( a3 @ X3 @ X2 )
      | ( very_much_likes @ X0 @ X1 @ X2 )
      | ~ ( likes @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_0 @ ( sk__7 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl18]) ).

thf(zip_derived_cl185,plain,
    ! [X0: mu,X1: mu,X2: $i,X3: $i] :
      ( ( a2 @ X2 @ ( sk__7 @ X2 @ X1 @ X0 ) )
      | ~ ( likes @ X0 @ X1 @ X2 )
      | ( very_much_likes @ X0 @ X1 @ X2 )
      | ~ ( a3 @ X3 @ X2 )
      | ~ ( likes @ X0 @ X1 @ ( sk__6 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl83]) ).

thf(zip_derived_cl859,plain,
    ! [X0: $i,X1: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ~ ( likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl767,zip_derived_cl185]) ).

thf(zip_derived_cl26_011,plain,
    ! [X0: $i] : ( likes @ jan @ cola @ ( sk__4 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).

thf(zip_derived_cl871,plain,
    ! [X0: $i,X1: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl859,zip_derived_cl26]) ).

thf(zip_derived_cl872,plain,
    ! [X0: $i,X1: $i] :
      ( ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl871]) ).

thf(zip_derived_cl885,plain,
    ! [X0: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl872]) ).

thf(zip_derived_cl885_012,plain,
    ! [X0: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( a2 @ ( sk__4 @ X0 ) @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl872]) ).

thf(zip_derived_cl4_013,plain,
    ! [X0: $i,X1: $i] :
      ( ( likes @ jan @ pepsi @ X0 )
      | ~ ( a2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl891,plain,
    ! [X0: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( likes @ jan @ pepsi @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl885,zip_derived_cl4]) ).

thf(zip_derived_cl7_014,plain,
    ! [X0: mu,X1: $i,X2: $i] :
      ( ~ ( likes @ X0 @ pepsi @ X1 )
      | ( likes @ X0 @ cola @ X1 )
      | ~ ( a2 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl893,plain,
    ! [X0: $i,X1: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ~ ( a2 @ X1 @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( likes @ jan @ cola @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl891,zip_derived_cl7]) ).

thf(zip_derived_cl917,plain,
    ! [X0: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( likes @ jan @ cola @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl885,zip_derived_cl893]) ).

thf(zip_derived_cl919,plain,
    ! [X0: $i] :
      ( ( likes @ jan @ cola @ ( sk__7 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl917]) ).

thf(zip_derived_cl14_015,plain,
    ! [X0: $i,X1: $i,X2: mu,X3: mu] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( likes @ X3 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl83_016,plain,
    ! [X0: mu,X1: mu,X2: $i,X3: $i] :
      ( ~ ( likes @ X0 @ X1 @ ( sk__6 @ X2 @ X1 @ X0 ) )
      | ~ ( a3 @ X3 @ X2 )
      | ( very_much_likes @ X0 @ X1 @ X2 )
      | ~ ( likes @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_0 @ ( sk__7 @ X2 @ X1 @ X0 ) @ X2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl18]) ).

thf(zip_derived_cl186,plain,
    ! [X0: mu,X1: mu,X2: $i,X3: $i] :
      ( ~ ( likes @ X0 @ X1 @ ( sk__7 @ X2 @ X1 @ X0 ) )
      | ~ ( likes @ X0 @ X1 @ X2 )
      | ( very_much_likes @ X0 @ X1 @ X2 )
      | ~ ( a3 @ X3 @ X2 )
      | ~ ( likes @ X0 @ X1 @ ( sk__6 @ X2 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl83]) ).

thf(zip_derived_cl923,plain,
    ! [X0: $i,X1: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ~ ( likes @ jan @ cola @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ~ ( likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl919,zip_derived_cl186]) ).

thf(zip_derived_cl26_017,plain,
    ! [X0: $i] : ( likes @ jan @ cola @ ( sk__4 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl9]) ).

thf(zip_derived_cl937,plain,
    ! [X0: $i,X1: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ~ ( likes @ jan @ cola @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl923,zip_derived_cl26]) ).

thf(zip_derived_cl938,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( a3 @ X1 @ ( sk__4 @ X0 ) )
      | ~ ( likes @ jan @ cola @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) )
      | ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl937]) ).

thf(zip_derived_cl767_018,plain,
    ! [X0: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ( likes @ jan @ cola @ ( sk__6 @ ( sk__4 @ X0 ) @ cola @ jan ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl761,zip_derived_cl0]) ).

thf(zip_derived_cl951,plain,
    ! [X0: $i,X1: $i] :
      ( ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) )
      | ~ ( a3 @ X1 @ ( sk__4 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl938,zip_derived_cl767]) ).

thf(zip_derived_cl952,plain,
    ! [X0: $i] : ( very_much_likes @ jan @ cola @ ( sk__4 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl951]) ).

thf(axiom_user_communication_2,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] :
          ( mforall_ind
          @ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( very_much_likes @ X @ Y ) ) @ ( likes @ X @ Y ) ) ) ) ) ).

thf(zf_stmt_11,axiom,
    ! [X4: $i,X6: mu,X8: mu] :
      ( ! [X10: $i] :
          ( ~ ( very_much_likes @ X6 @ X8 @ X10 )
          | ~ ( a3 @ X4 @ X10 ) )
      | ( likes @ X6 @ X8 @ X4 ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: mu,X3: mu] :
      ( ~ ( a3 @ X0 @ X1 )
      | ~ ( very_much_likes @ X2 @ X3 @ X1 )
      | ( likes @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl954,plain,
    ! [X0: $i,X1: $i] :
      ( ( likes @ jan @ cola @ X1 )
      | ~ ( a3 @ X1 @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl952,zip_derived_cl21]) ).

thf(zip_derived_cl956,plain,
    ! [X0: $i] : ( likes @ jan @ cola @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl954]) ).

thf(mexists_ind,axiom,
    ( mexists_ind
    = ( ^ [Phi: mu > $i > $o] :
          ( mnot
          @ ( mforall_ind
            @ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ) ).

thf('16',plain,
    ( mexists_ind
    = ( ^ [Phi: mu > $i > $o] :
          ( mnot
          @ ( mforall_ind
            @ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mexists_ind,'9','5']) ).

thf('17',plain,
    ( mexists_ind
    = ( ^ [V_1: mu > $i > $o] :
          ( mnot
          @ ( mforall_ind
            @ ^ [V_2: mu] : ( mnot @ ( V_1 @ V_2 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(conj,conjecture,
    ( mvalid
    @ ( mexists_ind
      @ ^ [X: mu] :
          ( mexists_ind
          @ ^ [Y: mu] : ( likes @ X @ Y ) ) ) ) ).

thf(zf_stmt_12,conjecture,
    ! [X4: $i] :
      ~ ! [X6: mu,X8: mu] :
          ~ ( likes @ X6 @ X8 @ X4 ) ).

thf(zf_stmt_13,negated_conjecture,
    ~ ! [X4: $i] :
        ~ ! [X6: mu,X8: mu] :
            ~ ( likes @ X6 @ X8 @ X4 ),
    inference('cnf.neg',[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl25,plain,
    ! [X0: mu,X1: mu] :
      ~ ( likes @ X0 @ X1 @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl960,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl956,zip_derived_cl25]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : AGT032^2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GpY5UDwcbe true
% 0.15/0.35  % Computer : n025.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
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun Aug 27 17:21:23 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.75/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.75/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.75/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.75/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.75/0.79  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.75/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.75/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.75/0.80  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.75/0.80  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.38/0.86  % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 1.40/0.93  % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 2.05/1.09  % Solved by lams/40_noforms.sh.
% 2.05/1.09  % done 305 iterations in 0.274s
% 2.05/1.09  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.05/1.09  % SZS output start Refutation
% See solution above
% 2.05/1.09  
% 2.05/1.09  
% 2.05/1.09  % Terminating...
% 2.21/1.17  % Runner terminated.
% 2.21/1.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------