TSTP Solution File: COM007+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM007+2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZbD1pqGrNM true

% Computer : n015.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 : Wed Aug 30 18:49:04 EDT 2023

% Result   : Theorem 0.23s 0.74s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   51 (  12 unt;   7 typ;   0 def)
%            Number of atoms       :   94 (  26 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  221 (  33   ~;  41   |;   4   &; 138   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   37 (   0   ^;  36   !;   1   ?;  37   :)

% Comments : 
%------------------------------------------------------------------------------
thf(goal_type,type,
    goal: $o ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(c_type,type,
    c: $i ).

thf(b_type,type,
    b: $i ).

thf(a_type,type,
    a: $i ).

thf(reflexive_rewrite_type,type,
    reflexive_rewrite: $i > $i > $o ).

thf(rewrite_type,type,
    rewrite: $i > $i > $o ).

thf(equal_in_reflexive_rewrite,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
     => ( reflexive_rewrite @ A @ B ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( reflexive_rewrite @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[equal_in_reflexive_rewrite]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] : ( reflexive_rewrite @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl3]) ).

thf(goal_ax,axiom,
    ! [A: $i] :
      ( ( ( reflexive_rewrite @ b @ A )
        & ( reflexive_rewrite @ c @ A ) )
     => goal ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( goal
      | ~ ( reflexive_rewrite @ b @ X0 )
      | ~ ( reflexive_rewrite @ c @ X0 ) ),
    inference(cnf,[status(esa)],[goal_ax]) ).

thf(goal_to_be_proved,conjecture,
    goal ).

thf(zf_stmt_0,negated_conjecture,
    ~ goal,
    inference('cnf.neg',[status(esa)],[goal_to_be_proved]) ).

thf(zip_derived_cl8,plain,
    ~ goal,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ~ ( reflexive_rewrite @ c @ X0 )
      | ~ ( reflexive_rewrite @ b @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl47,plain,
    ~ ( reflexive_rewrite @ b @ c ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl45]) ).

thf(assumption,axiom,
    ( ( reflexive_rewrite @ a @ c )
    & ( reflexive_rewrite @ a @ b ) ) ).

thf(zip_derived_cl1,plain,
    reflexive_rewrite @ a @ b,
    inference(cnf,[status(esa)],[assumption]) ).

thf(zip_derived_cl1_001,plain,
    reflexive_rewrite @ a @ b,
    inference(cnf,[status(esa)],[assumption]) ).

thf(equal_or_rewrite,axiom,
    ! [A: $i,B: $i] :
      ( ( reflexive_rewrite @ A @ B )
     => ( ( A = B )
        | ( rewrite @ A @ B ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( rewrite @ X0 @ X1 )
      | ( X0 = X1 )
      | ~ ( reflexive_rewrite @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[equal_or_rewrite]) ).

thf(zip_derived_cl52,plain,
    ( ( rewrite @ a @ b )
    | ( a = b ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).

thf(rewrite_diamond,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( rewrite @ A @ B )
        & ( rewrite @ A @ C ) )
     => ? [D: $i] :
          ( ( rewrite @ C @ D )
          & ( rewrite @ B @ D ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rewrite @ X0 @ X1 )
      | ~ ( rewrite @ X0 @ X2 )
      | ( rewrite @ X1 @ ( sk_ @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[rewrite_diamond]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] :
      ( ( a = b )
      | ~ ( rewrite @ a @ X0 )
      | ( rewrite @ b @ ( sk_ @ X0 @ b ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl6]) ).

thf(rewrite_in_reflexive_rewrite,axiom,
    ! [A: $i,B: $i] :
      ( ( rewrite @ A @ B )
     => ( reflexive_rewrite @ A @ B ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( reflexive_rewrite @ X0 @ X1 )
      | ~ ( rewrite @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[rewrite_in_reflexive_rewrite]) ).

thf(zip_derived_cl0,plain,
    reflexive_rewrite @ a @ c,
    inference(cnf,[status(esa)],[assumption]) ).

thf(zip_derived_cl5_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( rewrite @ X0 @ X1 )
      | ( X0 = X1 )
      | ~ ( reflexive_rewrite @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[equal_or_rewrite]) ).

thf(zip_derived_cl53,plain,
    ( ( rewrite @ a @ c )
    | ( a = c ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl5]) ).

thf(zip_derived_cl52_003,plain,
    ( ( rewrite @ a @ b )
    | ( a = b ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rewrite @ X0 @ X1 )
      | ~ ( rewrite @ X0 @ X2 )
      | ( rewrite @ X2 @ ( sk_ @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[rewrite_diamond]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ( a = b )
      | ~ ( rewrite @ a @ X0 )
      | ( rewrite @ X0 @ ( sk_ @ X0 @ b ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl7]) ).

thf(zip_derived_cl4_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( reflexive_rewrite @ X0 @ X1 )
      | ~ ( rewrite @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[rewrite_in_reflexive_rewrite]) ).

thf(zip_derived_cl45_005,plain,
    ! [X0: $i] :
      ( ~ ( reflexive_rewrite @ c @ X0 )
      | ~ ( reflexive_rewrite @ b @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] :
      ( ~ ( rewrite @ c @ X0 )
      | ~ ( reflexive_rewrite @ b @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl45]) ).

thf(zip_derived_cl75,plain,
    ( ~ ( rewrite @ a @ c )
    | ( a = b )
    | ~ ( reflexive_rewrite @ b @ ( sk_ @ c @ b ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl49]) ).

thf(zip_derived_cl76,plain,
    ( ( a = c )
    | ( a = b )
    | ~ ( reflexive_rewrite @ b @ ( sk_ @ c @ b ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl75]) ).

thf(zip_derived_cl78,plain,
    ( ~ ( rewrite @ b @ ( sk_ @ c @ b ) )
    | ( a = c )
    | ( a = b ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl76]) ).

thf(zip_derived_cl79,plain,
    ( ~ ( rewrite @ a @ c )
    | ( a = b )
    | ( a = c )
    | ( a = b ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl78]) ).

thf(zip_derived_cl80,plain,
    ( ( a = c )
    | ( a = b )
    | ~ ( rewrite @ a @ c ) ),
    inference(simplify,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl53_006,plain,
    ( ( rewrite @ a @ c )
    | ( a = c ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl5]) ).

thf(zip_derived_cl81,plain,
    ( ( a = b )
    | ( a = c ) ),
    inference(clc,[status(thm)],[zip_derived_cl80,zip_derived_cl53]) ).

thf(zip_derived_cl45_007,plain,
    ! [X0: $i] :
      ( ~ ( reflexive_rewrite @ c @ X0 )
      | ~ ( reflexive_rewrite @ b @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i] :
      ( ( a = b )
      | ~ ( reflexive_rewrite @ a @ X0 )
      | ~ ( reflexive_rewrite @ b @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl45]) ).

thf(zip_derived_cl106,plain,
    ( ( a = b )
    | ~ ( reflexive_rewrite @ b @ b ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl83]) ).

thf(zip_derived_cl46_008,plain,
    ! [X0: $i] : ( reflexive_rewrite @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl108,plain,
    a = b,
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl46]) ).

thf(zip_derived_cl0_009,plain,
    reflexive_rewrite @ a @ c,
    inference(cnf,[status(esa)],[assumption]) ).

thf(zip_derived_cl111,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl108,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : COM007+2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZbD1pqGrNM true
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Tue Aug 29 13:22:11 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.23/0.64  % Total configuration time : 435
% 0.23/0.64  % Estimated wc time : 1092
% 0.23/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.74  % Solved by fo/fo6_bce.sh.
% 0.23/0.74  % BCE start: 9
% 0.23/0.74  % BCE eliminated: 0
% 0.23/0.74  % PE start: 9
% 0.23/0.74  logic: eq
% 0.23/0.74  % PE eliminated: 1
% 0.23/0.74  % done 31 iterations in 0.020s
% 0.23/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.74  % SZS output start Refutation
% See solution above
% 0.23/0.74  
% 0.23/0.74  
% 0.23/0.74  % Terminating...
% 1.25/0.84  % Runner terminated.
% 1.25/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------