TSTP Solution File: SEU771^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU771^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P8yswW2Xy9 true

% Computer : n009.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 19:17:24 EDT 2023

% Result   : Theorem 0.17s 0.74s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   24 (  11 unt;   8 typ;   0 def)
%            Number of atoms       :   37 (   8 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :  118 (   3   ~;   0   |;   0   &; 112   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   57 (  33   ^;  24   !;   0   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
thf(breln1_type,type,
    breln1: $i > $i > $o ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(breln_type,type,
    breln: $i > $i > $i > $o ).

thf(dpsetconstr_type,type,
    dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).

thf(setOfPairsIsBReln_type,type,
    setOfPairsIsBReln: $o ).

thf(sk__4_type,type,
    sk__4: $i > $i > $o ).

thf(cartprod_type,type,
    cartprod: $i > $i > $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(breln1,axiom,
    ( breln1
    = ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ) ).

thf(breln,axiom,
    ( breln
    = ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ) ).

thf('0',plain,
    ( breln
    = ( ^ [A: $i,B: $i,C: $i] : ( subset @ C @ ( cartprod @ A @ B ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[breln]) ).

thf('1',plain,
    ( breln
    = ( ^ [V_1: $i,V_2: $i,V_3: $i] : ( subset @ V_3 @ ( cartprod @ V_1 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf('2',plain,
    ( breln1
    = ( ^ [A: $i,R: $i] : ( breln @ A @ A @ R ) ) ),
    inference(simplify_rw_rule,[status(thm)],[breln1,'1']) ).

thf('3',plain,
    ( breln1
    = ( ^ [V_1: $i,V_2: $i] : ( breln @ V_1 @ V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(setOfPairsIsBReln,axiom,
    ( setOfPairsIsBReln
    = ( ! [A: $i,B: $i,Xphi: $i > $i > $o] :
          ( breln @ A @ B
          @ ( dpsetconstr @ A @ B
            @ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) ) ) ) ) ).

thf('4',plain,
    ( setOfPairsIsBReln
    = ( ! [X4: $i,X6: $i,X8: $i > $i > $o] :
          ( breln @ X4 @ X6
          @ ( dpsetconstr @ X4 @ X6
            @ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) ) ) ) ),
    define([status(thm)]) ).

thf(setOfPairsIsBReln1,conjecture,
    ( setOfPairsIsBReln
   => ! [A: $i,Xphi: $i > $i > $o] :
        ( breln1 @ A
        @ ( dpsetconstr @ A @ A
          @ ^ [Xx: $i,Xy: $i] : ( Xphi @ Xx @ Xy ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i > $i > $o] :
        ( subset
        @ ( dpsetconstr @ X4 @ X6
          @ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) )
        @ ( cartprod @ X4 @ X6 ) )
   => ! [X10: $i,X12: $i > $i > $o] :
        ( subset
        @ ( dpsetconstr @ X10 @ X10
          @ ^ [V_3: $i,V_4: $i] : ( X12 @ V_3 @ V_4 ) )
        @ ( cartprod @ X10 @ X10 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i > $i > $o] :
          ( subset
          @ ( dpsetconstr @ X4 @ X6
            @ ^ [V_1: $i,V_2: $i] : ( X8 @ V_1 @ V_2 ) )
          @ ( cartprod @ X4 @ X6 ) )
     => ! [X10: $i,X12: $i > $i > $o] :
          ( subset
          @ ( dpsetconstr @ X10 @ X10
            @ ^ [V_3: $i,V_4: $i] : ( X12 @ V_3 @ V_4 ) )
          @ ( cartprod @ X10 @ X10 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( subset
      @ ( dpsetconstr @ sk__3 @ sk__3
        @ ^ [Y0: $i,Y1: $i] : ( sk__4 @ Y0 @ Y1 ) )
      @ ( cartprod @ sk__3 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ~ ( subset @ ( dpsetconstr @ sk__3 @ sk__3 @ sk__4 ) @ ( cartprod @ sk__3 @ sk__3 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i > $i > $o] :
      ( subset
      @ ( dpsetconstr @ X0 @ X1
        @ ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) )
      @ ( cartprod @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i > $i > $o] : ( subset @ ( dpsetconstr @ X0 @ X1 @ X2 ) @ ( cartprod @ X0 @ X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SEU771^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P8yswW2Xy9 true
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Aug 23 14:15:06 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in HO mode
% 0.17/0.63  % Total configuration time : 828
% 0.17/0.63  % Estimated wc time : 1656
% 0.17/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.17/0.70  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.17/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.17/0.71  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.17/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.17/0.71  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.17/0.71  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.17/0.73  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.17/0.74  % Solved by lams/40_c_ic.sh.
% 0.17/0.74  % done 1 iterations in 0.012s
% 0.17/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.17/0.74  % SZS output start Refutation
% See solution above
% 0.17/0.74  
% 0.17/0.74  
% 0.17/0.74  % Terminating...
% 0.17/0.83  % Runner terminated.
% 1.36/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------