TSTP Solution File: SWC275+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC275+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HYYhILdUNR true

% Computer : n029.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 21:30:24 EDT 2023

% Result   : Theorem 0.59s 0.79s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   52 (  21 unt;  12 typ;   0 def)
%            Number of atoms       :   92 (  40 equ;   0 cnn)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  161 (  35   ~;  38   |;   4   &;  74   @)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(ssItem_type,type,
    ssItem: $i > $o ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(totalorderedP_type,type,
    totalorderedP: $i > $o ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(nil_type,type,
    nil: $i ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(ssList_type,type,
    ssList: $i > $o ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(neq_type,type,
    neq: $i > $i > $o ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(cons_type,type,
    cons: $i > $i > $i ).

thf(memberP_type,type,
    memberP: $i > $i > $o ).

thf(co1,conjecture,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ! [W: $i] :
              ( ( ssList @ W )
             => ! [X: $i] :
                  ( ( ( neq @ X @ nil )
                    & ! [Y: $i] :
                        ( ~ ( memberP @ X @ Y )
                        | ( ( cons @ Y @ nil )
                         != W )
                        | ~ ( ssItem @ Y ) ) )
                  | ( ( nil = X )
                    & ( nil != W ) )
                  | ( totalorderedP @ U )
                  | ( U != W )
                  | ( V != X )
                  | ~ ( ssList @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i] :
        ( ( ssList @ U )
       => ! [V: $i] :
            ( ( ssList @ V )
           => ! [W: $i] :
                ( ( ssList @ W )
               => ! [X: $i] :
                    ( ( ( neq @ X @ nil )
                      & ! [Y: $i] :
                          ( ~ ( memberP @ X @ Y )
                          | ( ( cons @ Y @ nil )
                           != W )
                          | ~ ( ssItem @ Y ) ) )
                    | ( ( nil = X )
                      & ( nil != W ) )
                    | ( totalorderedP @ U )
                    | ( U != W )
                    | ( V != X )
                    | ~ ( ssList @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[co1]) ).

thf(zip_derived_cl77,plain,
    ~ ( totalorderedP @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82,plain,
    ( ( nil != sk__15 )
    | ( nil = sk__14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78,plain,
    sk__12 = sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl579,plain,
    ( ( nil != sk__15 )
    | ( nil = sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl78]) ).

thf(zip_derived_cl83,plain,
    sk__13 = sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl581,plain,
    ( ( nil != sk__13 )
    | ( nil = sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl83]) ).

thf(ax15,axiom,
    ! [U: $i] :
      ( ( ssList @ U )
     => ! [V: $i] :
          ( ( ssList @ V )
         => ( ( neq @ U @ V )
          <=> ( U != V ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl80,plain,
    ( ~ ( neq @ sk__15 @ nil )
    | ( ( cons @ sk__16 @ nil )
      = sk__14 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl577,plain,
    ( ~ ( ssList @ sk__15 )
    | ( sk__15 = nil )
    | ~ ( ssList @ nil )
    | ( ( cons @ sk__16 @ nil )
      = sk__14 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl80]) ).

thf(zip_derived_cl83_001,plain,
    sk__13 = sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    ssList @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl83_002,plain,
    sk__13 = sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl582,plain,
    ssList @ sk__13,
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl83]) ).

thf(zip_derived_cl83_003,plain,
    sk__13 = sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax17,axiom,
    ssList @ nil ).

thf(zip_derived_cl20,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl78_004,plain,
    sk__12 = sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl609,plain,
    ( ( sk__13 = nil )
    | ( ( cons @ sk__16 @ nil )
      = sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl577,zip_derived_cl83,zip_derived_cl582,zip_derived_cl83,zip_derived_cl20,zip_derived_cl78]) ).

thf(ax65,axiom,
    ! [U: $i] :
      ( ( ssItem @ U )
     => ( totalorderedP @ ( cons @ U @ nil ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( totalorderedP @ ( cons @ X0 @ nil ) )
      | ~ ( ssItem @ X0 ) ),
    inference(cnf,[status(esa)],[ax65]) ).

thf(zip_derived_cl612,plain,
    ( ( totalorderedP @ sk__12 )
    | ( sk__13 = nil )
    | ~ ( ssItem @ sk__16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl609,zip_derived_cl45]) ).

thf(zip_derived_cl77_005,plain,
    ~ ( totalorderedP @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl622,plain,
    ( ~ ( ssItem @ sk__16 )
    | ( sk__13 = nil ) ),
    inference(clc,[status(thm)],[zip_derived_cl612,zip_derived_cl77]) ).

thf(zip_derived_cl18_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ssList @ X0 )
      | ( X1 = X0 )
      | ( neq @ X1 @ X0 )
      | ~ ( ssList @ X1 ) ),
    inference(cnf,[status(esa)],[ax15]) ).

thf(zip_derived_cl81,plain,
    ( ~ ( neq @ sk__15 @ nil )
    | ( ssItem @ sk__16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl578,plain,
    ( ~ ( ssList @ sk__15 )
    | ( sk__15 = nil )
    | ~ ( ssList @ nil )
    | ( ssItem @ sk__16 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl81]) ).

thf(zip_derived_cl83_007,plain,
    sk__13 = sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl582_008,plain,
    ssList @ sk__13,
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl83]) ).

thf(zip_derived_cl83_009,plain,
    sk__13 = sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20_010,plain,
    ssList @ nil,
    inference(cnf,[status(esa)],[ax17]) ).

thf(zip_derived_cl583,plain,
    ( ( sk__13 = nil )
    | ( ssItem @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl578,zip_derived_cl83,zip_derived_cl582,zip_derived_cl83,zip_derived_cl20]) ).

thf(zip_derived_cl623,plain,
    sk__13 = nil,
    inference(clc,[status(thm)],[zip_derived_cl622,zip_derived_cl583]) ).

thf(zip_derived_cl625,plain,
    ( ( nil != nil )
    | ( nil = sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl581,zip_derived_cl623]) ).

thf(zip_derived_cl626,plain,
    nil = sk__12,
    inference(simplify,[status(thm)],[zip_derived_cl625]) ).

thf(ax66,axiom,
    totalorderedP @ nil ).

thf(zip_derived_cl46,plain,
    totalorderedP @ nil,
    inference(cnf,[status(esa)],[ax66]) ).

thf(zip_derived_cl629,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl626,zip_derived_cl46]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC275+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HYYhILdUNR true
% 0.15/0.35  % Computer : n029.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 : Mon Aug 28 15:39:26 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % Running in FO mode
% 0.57/0.65  % Total configuration time : 435
% 0.57/0.65  % Estimated wc time : 1092
% 0.57/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.79  % Solved by fo/fo3_bce.sh.
% 0.59/0.79  % BCE start: 86
% 0.59/0.79  % BCE eliminated: 4
% 0.59/0.79  % PE start: 82
% 0.59/0.79  logic: eq
% 0.59/0.79  % PE eliminated: 1
% 0.59/0.79  % done 43 iterations in 0.036s
% 0.59/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.79  % SZS output start Refutation
% See solution above
% 0.59/0.79  
% 0.59/0.79  
% 0.59/0.79  % Terminating...
% 1.60/0.86  % Runner terminated.
% 1.60/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------