TSTP Solution File: SEU459^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU459^1 : 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.vaS1JBNKaQ true

% Computer : n004.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 : Thu Aug 31 19:13:11 EDT 2023

% Result   : Theorem 0.21s 0.76s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   17 (  12 unt;   3 typ;   0 def)
%            Number of atoms       :   30 (   9 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   48 (   2   ~;   3   |;   0   &;  37   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   62 (  62   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   3 usr;   3 con; 0-3 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   36 (  21   ^;  15   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(subrel_type,type,
    subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(sc_type,type,
    sc: ( $i > $i > $o ) > $i > $i > $o ).

thf(infl_type,type,
    infl: ( ( $i > $i > $o ) > $i > $i > $o ) > $o ).

thf(symmetric_closure,axiom,
    ( sc
    = ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
          ( ( R @ Y @ X )
          | ( R @ X @ Y ) ) ) ) ).

thf('0',plain,
    ( sc
    = ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
          ( ( R @ Y @ X )
          | ( R @ X @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[symmetric_closure]) ).

thf('1',plain,
    ( sc
    = ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] :
          ( ( V_1 @ V_3 @ V_2 )
          | ( V_1 @ V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(inflationary,axiom,
    ( infl
    = ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
        ! [R: $i > $i > $o] : ( subrel @ R @ ( F @ R ) ) ) ) ).

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

thf('2',plain,
    ( subrel
    = ( ^ [R: $i > $i > $o,S: $i > $i > $o] :
        ! [X: $i,Y: $i] :
          ( ( R @ X @ Y )
         => ( S @ X @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[subrel]) ).

thf('3',plain,
    ( subrel
    = ( ^ [V_1: $i > $i > $o,V_2: $i > $i > $o] :
        ! [X4: $i,X6: $i] :
          ( ( V_1 @ X4 @ X6 )
         => ( V_2 @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf('4',plain,
    ( infl
    = ( ^ [F: ( $i > $i > $o ) > $i > $i > $o] :
        ! [R: $i > $i > $o] : ( subrel @ R @ ( F @ R ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[inflationary,'3']) ).

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

thf(symmetric_closure_op_is_inflationary,conjecture,
    infl @ sc ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $i > $o,X6: $i,X8: $i] : $true ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $i > $o,X6: $i,X8: $i] : $true,
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $i > $i > $o] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] : $true ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    $false,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU459^1 : TPTP v8.1.2. Released v3.6.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vaS1JBNKaQ true
% 0.13/0.34  % Computer : n004.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 : Wed Aug 23 14:18:53 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % Solved by lams/35_full_unif4.sh.
% 0.21/0.76  % done 0 iterations in 0.017s
% 0.21/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.76  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77  % Terminating...
% 1.64/0.86  % Runner terminated.
% 1.64/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------