TSTP Solution File: SWV416+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV416+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G6bNmoxvxu 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 : Fri Sep  1 00:09:38 EDT 2023

% Result   : Theorem 1.59s 0.82s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   35 (  12 unt;  12 typ;   0 def)
%            Number of atoms       :   39 (  15 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  287 (  14   ~;   7   |;   2   &; 257   @)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   47 (   0   ^;  47   !;   0   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: $i ).

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

thf(remove_pq_type,type,
    remove_pq: $i > $i > $i ).

thf(pi_remove_type,type,
    pi_remove: $i > $i > $o ).

thf(contains_pq_type,type,
    contains_pq: $i > $i > $o ).

thf(pi_sharp_remove_type,type,
    pi_sharp_remove: $i > $i > $o ).

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

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

thf(i_type,type,
    i: $i > $i ).

thf(remove_cpq_type,type,
    remove_cpq: $i > $i > $i ).

thf(phi_type,type,
    phi: $i > $o ).

thf(triple_type,type,
    triple: $i > $i > $i > $i ).

thf(main3_li34,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( contains_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X )
     => ( ( i @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) )
        = ( remove_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) ) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( i @ ( remove_cpq @ ( triple @ X0 @ X1 @ X2 ) @ X3 ) )
        = ( remove_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ X3 ) )
      | ~ ( contains_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ X3 ) ),
    inference(cnf,[status(esa)],[main3_li34]) ).

thf(main3_li12,axiom,
    ! [U: $i,V: $i,W: $i,X: $i,Y: $i] :
      ( ( i @ ( triple @ U @ W @ X ) )
      = ( i @ ( triple @ V @ W @ Y ) ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( i @ ( triple @ X3 @ X1 @ X4 ) )
      = ( i @ ( triple @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[main3_li12]) ).

thf(co3,conjecture,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( pi_remove @ ( triple @ U @ V @ W ) @ X )
     => ( ( phi @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) )
       => ( ( pi_sharp_remove @ ( i @ ( triple @ U @ V @ W ) ) @ X )
          & ( ( i @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) )
            = ( remove_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i,X: $i] :
        ( ( pi_remove @ ( triple @ U @ V @ W ) @ X )
       => ( ( phi @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) )
         => ( ( pi_sharp_remove @ ( i @ ( triple @ U @ V @ W ) ) @ X )
            & ( ( i @ ( remove_cpq @ ( triple @ U @ V @ W ) @ X ) )
              = ( remove_pq @ ( i @ ( triple @ U @ V @ W ) ) @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co3]) ).

thf(zip_derived_cl88,plain,
    pi_remove @ ( triple @ sk__4 @ sk__5 @ sk__6 ) @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax57,axiom,
    ! [U: $i,V: $i] :
      ( ( pi_remove @ U @ V )
    <=> ( pi_sharp_remove @ ( i @ U ) @ V ) ) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i] :
      ( ( pi_sharp_remove @ ( i @ X0 ) @ X1 )
      | ~ ( pi_remove @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax57]) ).

thf(zip_derived_cl384,plain,
    pi_sharp_remove @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ sk__7,
    inference('dp-resolution',[status(thm)],[zip_derived_cl88,zip_derived_cl70]) ).

thf(zip_derived_cl89,plain,
    ( ~ ( pi_sharp_remove @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ sk__7 )
    | ( ( i @ ( remove_cpq @ ( triple @ sk__4 @ sk__5 @ sk__6 ) @ sk__7 ) )
     != ( remove_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ sk__7 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl390,plain,
    ( ( ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) )
     != ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) )
    | ( sk__7 != sk__7 )
    | ( ( i @ ( remove_cpq @ ( triple @ sk__4 @ sk__5 @ sk__6 ) @ sk__7 ) )
     != ( remove_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ sk__7 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl384,zip_derived_cl89]) ).

thf(zip_derived_cl427,plain,
    ( ( i @ ( remove_cpq @ ( triple @ sk__4 @ sk__5 @ sk__6 ) @ sk__7 ) )
   != ( remove_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ sk__7 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl390]) ).

thf(zip_derived_cl442,plain,
    ! [X0: $i,X1: $i] :
      ( ( i @ ( remove_cpq @ ( triple @ sk__4 @ sk__5 @ sk__6 ) @ sk__7 ) )
     != ( remove_pq @ ( i @ ( triple @ X1 @ sk__5 @ X0 ) ) @ sk__7 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl427]) ).

thf(zip_derived_cl634,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( contains_pq @ ( i @ ( triple @ X1 @ sk__5 @ X0 ) ) @ sk__7 )
      | ( ( i @ ( remove_cpq @ ( triple @ sk__4 @ sk__5 @ sk__6 ) @ sk__7 ) )
       != ( i @ ( remove_cpq @ ( triple @ X1 @ sk__5 @ X0 ) @ sk__7 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl442]) ).

thf(zip_derived_cl86_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( i @ ( triple @ X3 @ X1 @ X4 ) )
      = ( i @ ( triple @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[main3_li12]) ).

thf(zip_derived_cl384_002,plain,
    pi_sharp_remove @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ sk__7,
    inference('dp-resolution',[status(thm)],[zip_derived_cl88,zip_derived_cl70]) ).

thf(ax56,axiom,
    ! [U: $i,V: $i] :
      ( ( pi_sharp_remove @ U @ V )
    <=> ( contains_pq @ U @ V ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ( contains_pq @ X0 @ X1 )
      | ~ ( pi_sharp_remove @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax56]) ).

thf(zip_derived_cl387,plain,
    contains_pq @ ( i @ ( triple @ sk__4 @ sk__5 @ sk__6 ) ) @ sk__7,
    inference('dp-resolution',[status(thm)],[zip_derived_cl384,zip_derived_cl68]) ).

thf(zip_derived_cl441,plain,
    ! [X0: $i,X1: $i] : ( contains_pq @ ( i @ ( triple @ X1 @ sk__5 @ X0 ) ) @ sk__7 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl86,zip_derived_cl387]) ).

thf(zip_derived_cl642,plain,
    ! [X0: $i,X1: $i] :
      ( ( i @ ( remove_cpq @ ( triple @ sk__4 @ sk__5 @ sk__6 ) @ sk__7 ) )
     != ( i @ ( remove_cpq @ ( triple @ X1 @ sk__5 @ X0 ) @ sk__7 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl634,zip_derived_cl441]) ).

thf(zip_derived_cl673,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl642]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV416+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G6bNmoxvxu true
% 0.13/0.34  % Computer : n025.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 03:21:25 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
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.59/0.82  % Solved by fo/fo6_bce.sh.
% 1.59/0.82  % BCE start: 91
% 1.59/0.82  % BCE eliminated: 0
% 1.59/0.82  % PE start: 91
% 1.59/0.82  logic: eq
% 1.59/0.82  % PE eliminated: 14
% 1.59/0.82  % done 139 iterations in 0.092s
% 1.59/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.59/0.82  % SZS output start Refutation
% See solution above
% 1.59/0.82  
% 1.59/0.82  
% 1.59/0.83  % Terminating...
% 1.99/0.94  % Runner terminated.
% 1.99/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------