TSTP Solution File: SWV139+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV139+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2uUL43DNtK true

% Computer : n006.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 00:08:01 EDT 2023

% Result   : Theorem 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   49 (  14 unt;  12 typ;   0 def)
%            Number of atoms       :  118 (  15 equ;   0 cnn)
%            Maximal formula atoms :   27 (   3 avg)
%            Number of connectives :  323 (  33   ~;  23   |;  28   &; 209   @)
%                                         (   1 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  27   !;   0   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n3_type,type,
    n3: $i ).

thf(pv1341_type,type,
    pv1341: $i ).

thf(s_sworst7_type,type,
    s_sworst7: $i ).

thf(n1_type,type,
    n1: $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(gt_type,type,
    gt: $i > $i > $o ).

thf(loopcounter_type,type,
    loopcounter: $i ).

thf(n0_type,type,
    n0: $i ).

thf(tptp_float_0_001_type,type,
    tptp_float_0_001: $i ).

thf(s_worst7_type,type,
    s_worst7: $i ).

thf(succ_type,type,
    succ: $i > $i ).

thf(s_best7_type,type,
    s_best7: $i ).

thf(gt_1_0,axiom,
    gt @ n1 @ n0 ).

thf(zip_derived_cl34,plain,
    gt @ n1 @ n0,
    inference(cnf,[status(esa)],[gt_1_0]) ).

thf(leq_succ_gt_equiv,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ Y )
    <=> ( gt @ ( succ @ Y ) @ X ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ ( succ @ X0 ) @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_succ_gt_equiv]) ).

thf(leq_gt1,axiom,
    ! [X: $i,Y: $i] :
      ( ( gt @ Y @ X )
     => ( leq @ X @ Y ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( gt @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_gt1]) ).

thf(gauss_array_0009,conjecture,
    ( ( ( leq @ tptp_float_0_001 @ pv1341 )
      & ( leq @ n1 @ loopcounter )
      & ( ~ ( leq @ tptp_float_0_001 @ pv1341 )
       => ( leq @ n0 @ s_best7 ) )
      & ( ~ ( leq @ tptp_float_0_001 @ pv1341 )
       => ( leq @ n0 @ s_sworst7 ) )
      & ( ~ ( leq @ tptp_float_0_001 @ pv1341 )
       => ( leq @ n0 @ s_worst7 ) )
      & ( ~ ( leq @ tptp_float_0_001 @ pv1341 )
       => ( leq @ s_best7 @ n3 ) )
      & ( ~ ( leq @ tptp_float_0_001 @ pv1341 )
       => ( leq @ s_sworst7 @ n3 ) )
      & ( ~ ( leq @ tptp_float_0_001 @ pv1341 )
       => ( leq @ s_worst7 @ n3 ) )
      & ( ( gt @ loopcounter @ n0 )
       => ( leq @ n0 @ s_best7 ) )
      & ( ( gt @ loopcounter @ n0 )
       => ( leq @ n0 @ s_sworst7 ) )
      & ( ( gt @ loopcounter @ n0 )
       => ( leq @ n0 @ s_worst7 ) )
      & ( ( gt @ loopcounter @ n0 )
       => ( leq @ s_best7 @ n3 ) )
      & ( ( gt @ loopcounter @ n0 )
       => ( leq @ s_sworst7 @ n3 ) )
      & ( ( gt @ loopcounter @ n0 )
       => ( leq @ s_worst7 @ n3 ) ) )
   => ( leq @ n0 @ s_best7 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( leq @ tptp_float_0_001 @ pv1341 )
        & ( leq @ n1 @ loopcounter )
        & ( ~ ( leq @ tptp_float_0_001 @ pv1341 )
         => ( leq @ n0 @ s_best7 ) )
        & ( ~ ( leq @ tptp_float_0_001 @ pv1341 )
         => ( leq @ n0 @ s_sworst7 ) )
        & ( ~ ( leq @ tptp_float_0_001 @ pv1341 )
         => ( leq @ n0 @ s_worst7 ) )
        & ( ~ ( leq @ tptp_float_0_001 @ pv1341 )
         => ( leq @ s_best7 @ n3 ) )
        & ( ~ ( leq @ tptp_float_0_001 @ pv1341 )
         => ( leq @ s_sworst7 @ n3 ) )
        & ( ~ ( leq @ tptp_float_0_001 @ pv1341 )
         => ( leq @ s_worst7 @ n3 ) )
        & ( ( gt @ loopcounter @ n0 )
         => ( leq @ n0 @ s_best7 ) )
        & ( ( gt @ loopcounter @ n0 )
         => ( leq @ n0 @ s_sworst7 ) )
        & ( ( gt @ loopcounter @ n0 )
         => ( leq @ n0 @ s_worst7 ) )
        & ( ( gt @ loopcounter @ n0 )
         => ( leq @ s_best7 @ n3 ) )
        & ( ( gt @ loopcounter @ n0 )
         => ( leq @ s_sworst7 @ n3 ) )
        & ( ( gt @ loopcounter @ n0 )
         => ( leq @ s_worst7 @ n3 ) ) )
     => ( leq @ n0 @ s_best7 ) ),
    inference('cnf.neg',[status(esa)],[gauss_array_0009]) ).

thf(zip_derived_cl58,plain,
    leq @ n1 @ loopcounter,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(transitivity_leq,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( leq @ X @ Y )
        & ( leq @ Y @ Z ) )
     => ( leq @ X @ Z ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X2 )
      | ( leq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity_leq]) ).

thf(zip_derived_cl304,plain,
    ! [X0: $i] :
      ( ( leq @ n1 @ X0 )
      | ~ ( leq @ loopcounter @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl4]) ).

thf(zip_derived_cl5_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( gt @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_gt1]) ).

thf(zip_derived_cl340,plain,
    ! [X0: $i] :
      ( ( leq @ n1 @ X0 )
      | ~ ( gt @ X0 @ loopcounter ) ),
    inference('sup+',[status(thm)],[zip_derived_cl304,zip_derived_cl5]) ).

thf(finite_domain_0,axiom,
    ! [X: $i] :
      ( ( ( leq @ n0 @ X )
        & ( leq @ X @ n0 ) )
     => ( X = n0 ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( X0 = n0 )
      | ~ ( leq @ X0 @ n0 )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(cnf,[status(esa)],[finite_domain_0]) ).

thf(zip_derived_cl408,plain,
    ( ~ ( gt @ n0 @ loopcounter )
    | ~ ( leq @ n0 @ n1 )
    | ( n1 = n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl340,zip_derived_cl48]) ).

thf(zip_derived_cl423,plain,
    ( ~ ( gt @ n1 @ n0 )
    | ( n1 = n0 )
    | ~ ( gt @ n0 @ loopcounter ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl408]) ).

thf(zip_derived_cl34_002,plain,
    gt @ n1 @ n0,
    inference(cnf,[status(esa)],[gt_1_0]) ).

thf(zip_derived_cl425,plain,
    ( ( n1 = n0 )
    | ~ ( gt @ n0 @ loopcounter ) ),
    inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl34]) ).

thf(zip_derived_cl65,plain,
    ( ( leq @ n0 @ s_best7 )
    | ~ ( gt @ loopcounter @ n0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl71,plain,
    ~ ( leq @ n0 @ s_best7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl280,plain,
    ~ ( gt @ loopcounter @ n0 ),
    inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl71]) ).

thf(totality,axiom,
    ! [X: $i,Y: $i] :
      ( ( X = Y )
      | ( gt @ Y @ X )
      | ( gt @ X @ Y ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( gt @ X0 @ X1 )
      | ( gt @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[totality]) ).

thf(zip_derived_cl281,plain,
    ( ( gt @ n0 @ loopcounter )
    | ( n0 = loopcounter ) ),
    inference('sup+',[status(thm)],[zip_derived_cl280,zip_derived_cl0]) ).

thf(zip_derived_cl429,plain,
    ( ( n1 = n0 )
    | ( n0 = loopcounter ) ),
    inference('sup+',[status(thm)],[zip_derived_cl425,zip_derived_cl281]) ).

thf(zip_derived_cl58_003,plain,
    leq @ n1 @ loopcounter,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl431,plain,
    ( ( leq @ n1 @ n0 )
    | ( n1 = n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl429,zip_derived_cl58]) ).

thf(zip_derived_cl444,plain,
    ( ( gt @ ( succ @ n0 ) @ n1 )
    | ( n1 = n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl431]) ).

thf(successor_1,axiom,
    ( ( succ @ n0 )
    = n1 ) ).

thf(zip_derived_cl54,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(irreflexivity_gt,axiom,
    ! [X: $i] :
      ~ ( gt @ X @ X ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl446,plain,
    n1 = n0,
    inference(demod,[status(thm)],[zip_derived_cl444,zip_derived_cl54,zip_derived_cl2]) ).

thf(zip_derived_cl2_004,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl452,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl446,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV139+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2uUL43DNtK true
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Aug 29 08:40:51 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.53/0.64  % Total configuration time : 435
% 0.53/0.64  % Estimated wc time : 1092
% 0.53/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.76  % Solved by fo/fo3_bce.sh.
% 0.56/0.76  % BCE start: 72
% 0.56/0.76  % BCE eliminated: 0
% 0.56/0.76  % PE start: 72
% 0.56/0.76  logic: eq
% 0.56/0.76  % PE eliminated: 0
% 0.56/0.76  % done 89 iterations in 0.035s
% 0.56/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.76  % SZS output start Refutation
% See solution above
% 0.56/0.76  
% 0.56/0.76  
% 0.56/0.76  % Terminating...
% 0.61/0.84  % Runner terminated.
% 0.61/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------