TSTP Solution File: KRS003_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : KRS003_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IZd1RzyI9S true

% Computer : n027.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 05:56:08 EDT 2023

% Result   : Theorem 0.21s 0.74s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   43 (   8 unt;  13 typ;   0 def)
%            Number of atoms       :   61 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  150 (  31   ~;  21   |;   3   &;  88   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   2 con; 0-2 aty)
%            Number of variables   :   25 (   0   ^;  25   !;   0   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
thf(unreal_type,type,
    unreal: $tType ).

thf(real_type,type,
    real: $tType ).

thf(equalish_type,type,
    equalish: real > real > $o ).

thf(s_type,type,
    s: unreal > real > $o ).

thf(d_type,type,
    d: unreal > $o ).

thf(u1r1_type,type,
    u1r1: unreal > real ).

thf(exist_type,type,
    exist: unreal ).

thf(e_type,type,
    e: unreal > $o ).

thf(f_type,type,
    f: unreal > $o ).

thf(u1r2_type,type,
    u1r2: unreal > real ).

thf(s1most_type,type,
    s1most: unreal > $o ).

thf(c_type,type,
    c: unreal > $o ).

thf(s2least_type,type,
    s2least: unreal > $o ).

thf(clause_1__clause_2,conjecture,
    ( ~ ( e @ exist )
    | ~ ( f @ exist ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ~ ( e @ exist )
      | ~ ( f @ exist ) ),
    inference('cnf.neg',[status(esa)],[clause_1__clause_2]) ).

thf(zip_derived_cl15,plain,
    e @ exist,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(clause_15,axiom,
    ! [X1: unreal] :
      ( ( e @ X1 )
     => ( c @ X1 ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: unreal] :
      ( ( c @ X0 )
      | ~ ( e @ X0 ) ),
    inference(cnf,[status(esa)],[clause_15]) ).

thf(zip_derived_cl21,plain,
    c @ exist,
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl12]) ).

thf(clause_3,axiom,
    ! [X1: unreal] :
      ( ( c @ X1 )
     => ( s2least @ X1 ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: unreal] :
      ( ( s2least @ X0 )
      | ~ ( c @ X0 ) ),
    inference(cnf,[status(esa)],[clause_3]) ).

thf(zip_derived_cl23,plain,
    s2least @ exist,
    inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl0]) ).

thf(clause_6,axiom,
    ! [X1: unreal] :
      ( ( s2least @ X1 )
     => ( s @ X1 @ ( u1r1 @ X1 ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: unreal] :
      ( ( s @ X0 @ ( u1r1 @ X0 ) )
      | ~ ( s2least @ X0 ) ),
    inference(cnf,[status(esa)],[clause_6]) ).

thf(clause_11,axiom,
    ! [X2: real,X3: real,X1: unreal] :
      ( ( ( s1most @ X1 )
        & ( s @ X1 @ X3 )
        & ( s @ X1 @ X2 ) )
     => ( equalish @ X3 @ X2 ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: real,X1: real,X2: unreal] :
      ( ( equalish @ X0 @ X1 )
      | ~ ( s1most @ X2 )
      | ~ ( s @ X2 @ X0 )
      | ~ ( s @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[clause_11]) ).

thf(clause_5,axiom,
    ! [X1: unreal] :
      ~ ( ( s2least @ X1 )
        & ( equalish @ ( u1r2 @ X1 ) @ ( u1r1 @ X1 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: unreal] :
      ( ~ ( s2least @ X0 )
      | ~ ( equalish @ ( u1r2 @ X0 ) @ ( u1r1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[clause_5]) ).

thf(zip_derived_cl26,plain,
    ! [X0: unreal,X1: unreal] :
      ( ~ ( s @ X1 @ ( u1r1 @ X0 ) )
      | ~ ( s @ X1 @ ( u1r2 @ X0 ) )
      | ~ ( s1most @ X1 )
      | ~ ( s2least @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl2]) ).

thf(zip_derived_cl28,plain,
    ! [X0: unreal] :
      ( ~ ( s2least @ X0 )
      | ~ ( s @ X0 @ ( u1r2 @ X0 ) )
      | ~ ( s1most @ X0 )
      | ~ ( s2least @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl26]) ).

thf(zip_derived_cl29,plain,
    ! [X0: unreal] :
      ( ~ ( s1most @ X0 )
      | ~ ( s @ X0 @ ( u1r2 @ X0 ) )
      | ~ ( s2least @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl28]) ).

thf(clause_7,axiom,
    ! [X1: unreal] :
      ( ( s2least @ X1 )
     => ( s @ X1 @ ( u1r2 @ X1 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: unreal] :
      ( ( s @ X0 @ ( u1r2 @ X0 ) )
      | ~ ( s2least @ X0 ) ),
    inference(cnf,[status(esa)],[clause_7]) ).

thf(zip_derived_cl30,plain,
    ! [X0: unreal] :
      ( ~ ( s2least @ X0 )
      | ~ ( s1most @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl29,zip_derived_cl4]) ).

thf(zip_derived_cl32,plain,
    ~ ( s1most @ exist ),
    inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl30]) ).

thf(zip_derived_cl14,plain,
    f @ exist,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(clause_16,axiom,
    ! [X1: unreal] :
      ( ( f @ X1 )
     => ( d @ X1 ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: unreal] :
      ( ( d @ X0 )
      | ~ ( f @ X0 ) ),
    inference(cnf,[status(esa)],[clause_16]) ).

thf(zip_derived_cl20,plain,
    d @ exist,
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl13]) ).

thf(clause_9,axiom,
    ! [X1: unreal] :
      ( ( d @ X1 )
     => ( s1most @ X1 ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: unreal] :
      ( ( s1most @ X0 )
      | ~ ( d @ X0 ) ),
    inference(cnf,[status(esa)],[clause_9]) ).

thf(zip_derived_cl22,plain,
    s1most @ exist,
    inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl6]) ).

thf(zip_derived_cl33,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl22]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS003_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IZd1RzyI9S true
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 02:30:36 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % Solved by fo/fo6_bce.sh.
% 0.21/0.74  % BCE start: 16
% 0.21/0.74  % BCE eliminated: 0
% 0.21/0.74  % PE start: 16
% 0.21/0.74  logic: neq
% 0.21/0.74  % PE eliminated: 6
% 0.21/0.74  % done 7 iterations in 0.010s
% 0.21/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.74  % SZS output start Refutation
% See solution above
% 0.21/0.74  
% 0.21/0.74  
% 0.21/0.74  % Terminating...
% 1.33/0.85  % Runner terminated.
% 1.33/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------