TSTP Solution File: CSR159+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CSR159+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KVi7LnlVFY true

% Computer : n004.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 22:08:20 EDT 2023

% Result   : Theorem 13.42s 2.55s
% Output   : Refutation 13.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   41 (   9 unt;  22 typ;   0 def)
%            Number of atoms       :   84 (   3 equ;   0 cnn)
%            Maximal formula atoms :   40 (   4 avg)
%            Number of connectives :  305 (  14   ~;   7   |;  45   &; 226   @)
%                                         (  11 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   79 (  79   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;   6 con; 0-7 aty)
%            Number of variables   :   70 (   0   ^;  70   !;   0   ?;  70   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1227_type,type,
    sk__1227: $i ).

thf(p__d__partition4_type,type,
    p__d__partition4: $i > $i > $i > $i > $o ).

thf(p__d__disjointDecomposition3_type,type,
    p__d__disjointDecomposition3: $i > $i > $i > $o ).

thf(p__d__partition3_type,type,
    p__d__partition3: $i > $i > $i > $o ).

thf(p__d__partition5_type,type,
    p__d__partition5: $i > $i > $i > $i > $i > $o ).

thf(p__d__disjoint_type,type,
    p__d__disjoint: $i > $i > $o ).

thf(p__d__exhaustiveDecomposition7_type,type,
    p__d__exhaustiveDecomposition7: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(p__d__partition6_type,type,
    p__d__partition6: $i > $i > $i > $i > $i > $i > $o ).

thf(p__d__exhaustiveDecomposition5_type,type,
    p__d__exhaustiveDecomposition5: $i > $i > $i > $i > $i > $o ).

thf(p__d__exhaustiveDecomposition3_type,type,
    p__d__exhaustiveDecomposition3: $i > $i > $i > $o ).

thf(c__Integer_type,type,
    c__Integer: $i ).

thf(p__d__exhaustiveDecomposition6_type,type,
    p__d__exhaustiveDecomposition6: $i > $i > $i > $i > $i > $i > $o ).

thf(p__d__disjointDecomposition6_type,type,
    p__d__disjointDecomposition6: $i > $i > $i > $i > $i > $i > $o ).

thf(c__OddInteger_type,type,
    c__OddInteger: $i ).

thf(p__d__exhaustiveDecomposition4_type,type,
    p__d__exhaustiveDecomposition4: $i > $i > $i > $i > $o ).

thf(c__EvenInteger_type,type,
    c__EvenInteger: $i ).

thf(p__d__disjointDecomposition5_type,type,
    p__d__disjointDecomposition5: $i > $i > $i > $i > $i > $o ).

thf(p__d__disjointDecomposition7_type,type,
    p__d__disjointDecomposition7: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(p__d__disjointDecomposition4_type,type,
    p__d__disjointDecomposition4: $i > $i > $i > $i > $o ).

thf(sk__1228_type,type,
    sk__1228: $i ).

thf(p__d__partition7_type,type,
    p__d__partition7: $i > $i > $i > $i > $i > $i > $i > $o ).

thf(p__d__instance_type,type,
    p__d__instance: $i > $i > $o ).

thf(antonymPattern10035,conjecture,
    ! [X: $i,Y: $i] :
      ( ( ( p__d__instance @ X @ c__EvenInteger )
        & ( p__d__instance @ Y @ c__OddInteger ) )
     => ( X != Y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i] :
        ( ( ( p__d__instance @ X @ c__EvenInteger )
          & ( p__d__instance @ Y @ c__OddInteger ) )
       => ( X != Y ) ),
    inference('cnf.neg',[status(esa)],[antonymPattern10035]) ).

thf(zip_derived_cl10752,plain,
    p__d__instance @ sk__1227 @ c__EvenInteger,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mergeA399,axiom,
    p__d__partition3 @ c__Integer @ c__OddInteger @ c__EvenInteger ).

thf(zip_derived_cl468,plain,
    p__d__partition3 @ c__Integer @ c__OddInteger @ c__EvenInteger,
    inference(cnf,[status(esa)],[mergeA399]) ).

thf(predefinitionsA18,axiom,
    ( ! [CLASS: $i,ROW1: $i,ROW2: $i,ROW3: $i,ROW4: $i,ROW5: $i,ROW6: $i] :
        ( ( p__d__partition7 @ CLASS @ ROW1 @ ROW2 @ ROW3 @ ROW4 @ ROW5 @ ROW6 )
      <=> ( ( p__d__exhaustiveDecomposition7 @ CLASS @ ROW1 @ ROW2 @ ROW3 @ ROW4 @ ROW5 @ ROW6 )
          & ( p__d__disjointDecomposition7 @ CLASS @ ROW1 @ ROW2 @ ROW3 @ ROW4 @ ROW5 @ ROW6 ) ) )
    & ! [CLASS: $i,ROW1: $i,ROW2: $i,ROW3: $i,ROW4: $i,ROW5: $i] :
        ( ( p__d__partition6 @ CLASS @ ROW1 @ ROW2 @ ROW3 @ ROW4 @ ROW5 )
      <=> ( ( p__d__exhaustiveDecomposition6 @ CLASS @ ROW1 @ ROW2 @ ROW3 @ ROW4 @ ROW5 )
          & ( p__d__disjointDecomposition6 @ CLASS @ ROW1 @ ROW2 @ ROW3 @ ROW4 @ ROW5 ) ) )
    & ! [CLASS: $i,ROW1: $i,ROW2: $i,ROW3: $i,ROW4: $i] :
        ( ( p__d__partition5 @ CLASS @ ROW1 @ ROW2 @ ROW3 @ ROW4 )
      <=> ( ( p__d__exhaustiveDecomposition5 @ CLASS @ ROW1 @ ROW2 @ ROW3 @ ROW4 )
          & ( p__d__disjointDecomposition5 @ CLASS @ ROW1 @ ROW2 @ ROW3 @ ROW4 ) ) )
    & ! [CLASS: $i,ROW1: $i,ROW2: $i,ROW3: $i] :
        ( ( p__d__partition4 @ CLASS @ ROW1 @ ROW2 @ ROW3 )
      <=> ( ( p__d__exhaustiveDecomposition4 @ CLASS @ ROW1 @ ROW2 @ ROW3 )
          & ( p__d__disjointDecomposition4 @ CLASS @ ROW1 @ ROW2 @ ROW3 ) ) )
    & ! [CLASS: $i,ROW1: $i,ROW2: $i] :
        ( ( p__d__partition3 @ CLASS @ ROW1 @ ROW2 )
      <=> ( ( p__d__exhaustiveDecomposition3 @ CLASS @ ROW1 @ ROW2 )
          & ( p__d__disjointDecomposition3 @ CLASS @ ROW1 @ ROW2 ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p__d__disjointDecomposition3 @ X0 @ X1 @ X2 )
      | ~ ( p__d__partition3 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[predefinitionsA18]) ).

thf(predefinitionsA24,axiom,
    ( ! [CLASS: $i,ROW1: $i,ROW2: $i,ROW3: $i,ROW4: $i,ROW5: $i,ROW6: $i] :
        ( ( p__d__disjointDecomposition7 @ CLASS @ ROW1 @ ROW2 @ ROW3 @ ROW4 @ ROW5 @ ROW6 )
      <=> ( ( p__d__disjoint @ ROW1 @ ROW2 )
          & ( p__d__disjoint @ ROW1 @ ROW3 )
          & ( p__d__disjoint @ ROW1 @ ROW4 )
          & ( p__d__disjoint @ ROW1 @ ROW5 )
          & ( p__d__disjoint @ ROW1 @ ROW6 )
          & ( p__d__disjoint @ ROW2 @ ROW3 )
          & ( p__d__disjoint @ ROW2 @ ROW4 )
          & ( p__d__disjoint @ ROW2 @ ROW5 )
          & ( p__d__disjoint @ ROW2 @ ROW6 )
          & ( p__d__disjoint @ ROW3 @ ROW4 )
          & ( p__d__disjoint @ ROW3 @ ROW5 )
          & ( p__d__disjoint @ ROW3 @ ROW6 )
          & ( p__d__disjoint @ ROW4 @ ROW5 )
          & ( p__d__disjoint @ ROW4 @ ROW6 )
          & ( p__d__disjoint @ ROW5 @ ROW6 ) ) )
    & ! [CLASS: $i,ROW1: $i,ROW2: $i,ROW3: $i,ROW4: $i,ROW5: $i] :
        ( ( p__d__disjointDecomposition6 @ CLASS @ ROW1 @ ROW2 @ ROW3 @ ROW4 @ ROW5 )
      <=> ( ( p__d__disjoint @ ROW1 @ ROW2 )
          & ( p__d__disjoint @ ROW1 @ ROW3 )
          & ( p__d__disjoint @ ROW1 @ ROW4 )
          & ( p__d__disjoint @ ROW1 @ ROW5 )
          & ( p__d__disjoint @ ROW2 @ ROW3 )
          & ( p__d__disjoint @ ROW2 @ ROW4 )
          & ( p__d__disjoint @ ROW2 @ ROW5 )
          & ( p__d__disjoint @ ROW3 @ ROW4 )
          & ( p__d__disjoint @ ROW3 @ ROW5 )
          & ( p__d__disjoint @ ROW4 @ ROW5 ) ) )
    & ! [CLASS: $i,ROW1: $i,ROW2: $i,ROW3: $i,ROW4: $i] :
        ( ( p__d__disjointDecomposition5 @ CLASS @ ROW1 @ ROW2 @ ROW3 @ ROW4 )
      <=> ( ( p__d__disjoint @ ROW1 @ ROW2 )
          & ( p__d__disjoint @ ROW1 @ ROW3 )
          & ( p__d__disjoint @ ROW1 @ ROW4 )
          & ( p__d__disjoint @ ROW2 @ ROW3 )
          & ( p__d__disjoint @ ROW2 @ ROW4 )
          & ( p__d__disjoint @ ROW3 @ ROW4 ) ) )
    & ! [CLASS: $i,ROW1: $i,ROW2: $i,ROW3: $i] :
        ( ( p__d__disjointDecomposition4 @ CLASS @ ROW1 @ ROW2 @ ROW3 )
      <=> ( ( p__d__disjoint @ ROW1 @ ROW2 )
          & ( p__d__disjoint @ ROW1 @ ROW3 )
          & ( p__d__disjoint @ ROW2 @ ROW3 ) ) )
    & ! [CLASS: $i,ROW1: $i,ROW2: $i] :
        ( ( p__d__disjointDecomposition3 @ CLASS @ ROW1 @ ROW2 )
      <=> ( p__d__disjoint @ ROW1 @ ROW2 ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( p__d__disjoint @ X0 @ X1 )
      | ~ ( p__d__disjointDecomposition3 @ X2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[predefinitionsA24]) ).

thf(zip_derived_cl27742,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p__d__partition3 @ X2 @ X1 @ X0 )
      | ( p__d__disjoint @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl53]) ).

thf(zip_derived_cl30244,plain,
    p__d__disjoint @ c__OddInteger @ c__EvenInteger,
    inference('dp-resolution',[status(thm)],[zip_derived_cl468,zip_derived_cl27742]) ).

thf(predefinitionsA15,axiom,
    ! [CLASS1: $i,CLASS2: $i] :
      ( ( p__d__disjoint @ CLASS1 @ CLASS2 )
    <=> ! [INST: $i] :
          ( ~ ( p__d__instance @ INST @ CLASS2 )
          | ~ ( p__d__instance @ INST @ CLASS1 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( p__d__instance @ X0 @ X1 )
      | ~ ( p__d__instance @ X0 @ X2 )
      | ~ ( p__d__disjoint @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[predefinitionsA15]) ).

thf(zip_derived_cl31114,plain,
    ! [X0: $i] :
      ( ~ ( p__d__instance @ X0 @ c__EvenInteger )
      | ~ ( p__d__instance @ X0 @ c__OddInteger ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl30244,zip_derived_cl4]) ).

thf(zip_derived_cl31154,plain,
    ~ ( p__d__instance @ sk__1227 @ c__OddInteger ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10752,zip_derived_cl31114]) ).

thf(zip_derived_cl10751,plain,
    p__d__instance @ sk__1228 @ c__OddInteger,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10750,plain,
    sk__1227 = sk__1228,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31153,plain,
    p__d__instance @ sk__1227 @ c__OddInteger,
    inference(demod,[status(thm)],[zip_derived_cl10751,zip_derived_cl10750]) ).

thf(zip_derived_cl31155,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl31154,zip_derived_cl31153]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR159+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KVi7LnlVFY true
% 0.13/0.34  % Computer : n004.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 : Mon Aug 28 09:31:37 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.12/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.12/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.12/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.12/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.27/1.05  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.27/1.06  % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 13.42/2.55  % Solved by fo/fo6_bce.sh.
% 13.42/2.55  % BCE start: 10753
% 13.42/2.55  % BCE eliminated: 6
% 13.42/2.55  % PE start: 10747
% 13.42/2.55  logic: eq
% 13.42/2.55  % PE eliminated: 1103
% 13.42/2.55  % done 14 iterations in 1.789s
% 13.42/2.55  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.42/2.55  % SZS output start Refutation
% See solution above
% 13.42/2.55  
% 13.42/2.55  
% 13.42/2.55  % Terminating...
% 14.05/2.65  % Runner terminated.
% 14.05/2.67  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------