TSTP Solution File: AGT037^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : AGT037^2 : 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.dXbHbi77Ph true

% Computer : n008.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 1.16s 0.84s
% Output   : Refutation 1.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   39
% Syntax   : Number of formulae    :   56 (  29 unt;  17 typ;   0 def)
%            Number of atoms       :   97 (  21 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  163 (  18   ~;  14   |;   0   &; 131   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   82 (  82   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   6 con; 0-3 aty)
%            Number of variables   :   78 (  47   ^;  31   !;   0   ?;  78   :)

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

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

thf(possibly_likes_type,type,
    possibly_likes: mu > mu > $i > $o ).

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

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

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

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

thf(jan_type,type,
    jan: mu ).

thf(mor_type,type,
    mor: ( $i > $o ) > ( $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(conj,conjecture,
    mvalid @ ( possibly_likes @ jan @ cola ) ).

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

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

thf(zip_derived_cl25,plain,
    ~ ( possibly_likes @ jan @ cola @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

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_2,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_2]) ).

thf(zip_derived_cl10_001,plain,
    ! [X0: $i] : ( a3 @ X0 @ ( sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

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

thf(zf_stmt_3,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_3]) ).

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(axiom_user_communication_5,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] :
          ( mforall_ind
          @ ^ [Y: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ X @ Y ) ) @ ( possibly_likes @ X @ Y ) ) ) ) ) ).

thf(zf_stmt_4,axiom,
    ! [X4: $i,X6: mu,X8: mu] :
      ( ! [X10: $i] :
          ( ~ ( likes @ X6 @ X8 @ X10 )
          | ~ ( a3 @ X4 @ X10 ) )
      | ( possibly_likes @ X6 @ X8 @ X4 ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: mu,X3: mu] :
      ( ~ ( a3 @ X0 @ X1 )
      | ~ ( likes @ X2 @ X3 @ X1 )
      | ( possibly_likes @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ( possibly_likes @ jan @ cola @ X1 )
      | ~ ( a3 @ X1 @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl24]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] : ( possibly_likes @ jan @ cola @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl40]) ).

thf(zip_derived_cl56,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : AGT037^2 : 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.dXbHbi77Ph true
% 0.15/0.35  % Computer : n008.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
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sun Aug 27 17:11:17 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
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.16/0.81  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.16/0.83  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.16/0.84  % Solved by lams/40_noforms.sh.
% 1.16/0.84  % done 25 iterations in 0.053s
% 1.16/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.16/0.84  % SZS output start Refutation
% See solution above
% 1.16/0.84  
% 1.16/0.84  
% 1.16/0.84  % Terminating...
% 1.65/0.87  % Runner terminated.
% 1.65/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------