TSTP Solution File: SWV435^4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV435^4 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Nrd7GljNpf true

% Computer : n018.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 00:09:57 EDT 2023

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   37
% Syntax   : Number of formulae    :   51 (  35 unt;  13 typ;   0 def)
%            Number of atoms       :  101 (  31 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   57 (   2   ~;   3   |;   0   &;  47   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   60 (  60   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  13 usr;   3 con; 0-3 aty)
%            Number of variables   :   51 (  39   ^;  12   !;   0   ?;  51   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mfalse_type,type,
    mfalse: $i > $o ).

thf(icl_says_type,type,
    icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

thf(icl_true_type,type,
    icl_true: $i > $o ).

thf(a_type,type,
    a: $i > $o ).

thf(rel_type,type,
    rel: $i > $i > $o ).

thf(mtrue_type,type,
    mtrue: $i > $o ).

thf(icl_princ_type,type,
    icl_princ: ( $i > $o ) > $i > $o ).

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

thf(icl_false_type,type,
    icl_false: $i > $o ).

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

thf(iclval_type,type,
    iclval: ( $i > $o ) > $o ).

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

thf(icl_s4_valid,axiom,
    ( iclval
    = ( ^ [X: $i > $o] : ( mvalid @ X ) ) ) ).

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

thf('0',plain,
    ( mvalid
    = ( ^ [P: $i > $o] :
        ! [W: $i] : ( P @ 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('2',plain,
    ( iclval
    = ( ^ [X: $i > $o] : ( mvalid @ X ) ) ),
    inference(simplify_rw_rule,[status(thm)],[icl_s4_valid,'1']) ).

thf('3',plain,
    ( iclval
    = ( ^ [V_1: $i > $o] : ( mvalid @ V_1 ) ) ),
    define([status(thm)]) ).

thf(icl_says,axiom,
    ( icl_says
    = ( ^ [A: $i > $o,S: $i > $o] : ( mbox @ rel @ ( mor @ A @ S ) ) ) ) ).

thf(mbox,axiom,
    ( mbox
    = ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
        ! [Y: $i] :
          ( ( R @ X @ Y )
         => ( P @ Y ) ) ) ) ).

thf('4',plain,
    ( mbox
    = ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
        ! [Y: $i] :
          ( ( R @ X @ Y )
         => ( P @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox]) ).

thf('5',plain,
    ( mbox
    = ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
        ! [X4: $i] :
          ( ( V_1 @ V_3 @ X4 )
         => ( V_2 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ) ).

thf('6',plain,
    ( mor
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('7',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('8',plain,
    ( icl_says
    = ( ^ [A: $i > $o,S: $i > $o] : ( mbox @ rel @ ( mor @ A @ S ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[icl_says,'5','7']) ).

thf('9',plain,
    ( icl_says
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mbox @ rel @ ( mor @ V_1 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(icl_false,axiom,
    icl_false = mfalse ).

thf(mfalse,axiom,
    ( mfalse
    = ( ^ [X: $i] : $false ) ) ).

thf('10',plain,
    ( mfalse
    = ( ^ [X: $i] : $false ) ),
    inference(simplify_rw_rule,[status(thm)],[mfalse]) ).

thf('11',plain,
    ( mfalse
    = ( ^ [V_1: $i] : $false ) ),
    define([status(thm)]) ).

thf('12',plain,
    icl_false = mfalse,
    inference(simplify_rw_rule,[status(thm)],[icl_false,'11']) ).

thf('13',plain,
    icl_false = mfalse,
    define([status(thm)]) ).

thf(icl_princ,axiom,
    ( icl_princ
    = ( ^ [P: $i > $o] : P ) ) ).

thf('14',plain,
    ( icl_princ
    = ( ^ [P: $i > $o] : P ) ),
    inference(simplify_rw_rule,[status(thm)],[icl_princ]) ).

thf('15',plain,
    ( icl_princ
    = ( ^ [V_1: $i > $o] : V_1 ) ),
    define([status(thm)]) ).

thf(untrust,conjecture,
    iclval @ ( icl_says @ ( icl_princ @ a ) @ icl_false ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i,X6: $i] :
      ( ( rel @ X4 @ X6 )
     => ( a @ X6 ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i,X6: $i] :
        ( ( rel @ X4 @ X6 )
       => ( a @ X6 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ~ ( a @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(icl_true,axiom,
    icl_true = mtrue ).

thf(mtrue,axiom,
    ( mtrue
    = ( ^ [X: $i] : $true ) ) ).

thf('16',plain,
    ( mtrue
    = ( ^ [X: $i] : $true ) ),
    inference(simplify_rw_rule,[status(thm)],[mtrue]) ).

thf('17',plain,
    ( mtrue
    = ( ^ [V_1: $i] : $true ) ),
    define([status(thm)]) ).

thf('18',plain,
    icl_true = mtrue,
    inference(simplify_rw_rule,[status(thm)],[icl_true,'17']) ).

thf('19',plain,
    icl_true = mtrue,
    define([status(thm)]) ).

thf(ax1,axiom,
    ( ( icl_princ @ a )
    = icl_true ) ).

thf(zf_stmt_2,axiom,
    ! [V_1: $i] : ( a @ V_1 ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] : ( a @ X0 ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV435^4 : TPTP v8.1.2. Released v3.6.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Nrd7GljNpf true
% 0.13/0.34  % Computer : n018.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 04:19:47 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.50/0.65  % Total configuration time : 828
% 0.50/0.65  % Estimated wc time : 1656
% 0.50/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.74  % Solved by lams/40_c.s.sh.
% 0.54/0.74  % done 2 iterations in 0.016s
% 0.54/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.74  % SZS output start Refutation
% See solution above
% 0.54/0.74  
% 0.54/0.74  
% 0.54/0.74  % Terminating...
% 0.61/0.84  % Runner terminated.
% 0.61/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------