TSTP Solution File: NUM561+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM561+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TYEsW1qcIA true

% Computer : n019.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 12:42:23 EDT 2023

% Result   : Theorem 1.68s 0.96s
% Output   : Refutation 1.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   31 (  12 unt;   9 typ;   0 def)
%            Number of atoms       :   47 (  10 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  163 (  22   ~;  17   |;   2   &; 116   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  20   !;   1   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(szDzozmdt0_type,type,
    szDzozmdt0: $i > $i ).

thf(aFunction0_type,type,
    aFunction0: $i > $o ).

thf(xx_type,type,
    xx: $i ).

thf(sdtlpdtrp0_type,type,
    sdtlpdtrp0: $i > $i > $i ).

thf(xF_type,type,
    xF: $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(sdtlcdtrc0_type,type,
    sdtlcdtrc0: $i > $i > $i ).

thf(mSubRefl,axiom,
    ! [W0: $i] :
      ( ( aSet0 @ W0 )
     => ( aSubsetOf0 @ W0 @ W0 ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( aSubsetOf0 @ X0 @ X0 )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[mSubRefl]) ).

thf(m__,conjecture,
    aElementOf0 @ ( sdtlpdtrp0 @ xF @ xx ) @ ( sdtlcdtrc0 @ xF @ ( szDzozmdt0 @ xF ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( aElementOf0 @ ( sdtlpdtrp0 @ xF @ xx ) @ ( sdtlcdtrc0 @ xF @ ( szDzozmdt0 @ xF ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl134,plain,
    ~ ( aElementOf0 @ ( sdtlpdtrp0 @ xF @ xx ) @ ( sdtlcdtrc0 @ xF @ ( szDzozmdt0 @ xF ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__2911_02,axiom,
    aElementOf0 @ xx @ ( szDzozmdt0 @ xF ) ).

thf(zip_derived_cl133,plain,
    aElementOf0 @ xx @ ( szDzozmdt0 @ xF ),
    inference(cnf,[status(esa)],[m__2911_02]) ).

thf(m__2911,axiom,
    aFunction0 @ xF ).

thf(zip_derived_cl132,plain,
    aFunction0 @ xF,
    inference(cnf,[status(esa)],[m__2911]) ).

thf(mDefSImg,axiom,
    ! [W0: $i] :
      ( ( aFunction0 @ W0 )
     => ! [W1: $i] :
          ( ( aSubsetOf0 @ W1 @ ( szDzozmdt0 @ W0 ) )
         => ! [W2: $i] :
              ( ( W2
                = ( sdtlcdtrc0 @ W0 @ W1 ) )
            <=> ( ( aSet0 @ W2 )
                & ! [W3: $i] :
                    ( ( aElementOf0 @ W3 @ W2 )
                  <=> ? [W4: $i] :
                        ( ( ( sdtlpdtrp0 @ W0 @ W4 )
                          = W3 )
                        & ( aElementOf0 @ W4 @ W1 ) ) ) ) ) ) ) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ ( szDzozmdt0 @ X1 ) )
      | ( X2
       != ( sdtlcdtrc0 @ X1 @ X0 ) )
      | ( aElementOf0 @ X3 @ X2 )
      | ~ ( aElementOf0 @ X4 @ X0 )
      | ( ( sdtlpdtrp0 @ X1 @ X4 )
       != X3 )
      | ~ ( aFunction0 @ X1 ) ),
    inference(cnf,[status(esa)],[mDefSImg]) ).

thf(zip_derived_cl999,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( sdtlpdtrp0 @ xF @ X3 )
       != X2 )
      | ~ ( aElementOf0 @ X3 @ X0 )
      | ( aElementOf0 @ X2 @ X1 )
      | ( X1
       != ( sdtlcdtrc0 @ xF @ X0 ) )
      | ~ ( aSubsetOf0 @ X0 @ ( szDzozmdt0 @ xF ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl132,zip_derived_cl128]) ).

thf(zip_derived_cl1631,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ ( szDzozmdt0 @ xF ) @ ( szDzozmdt0 @ xF ) )
      | ( X0
       != ( sdtlcdtrc0 @ xF @ ( szDzozmdt0 @ xF ) ) )
      | ( aElementOf0 @ X1 @ X0 )
      | ( ( sdtlpdtrp0 @ xF @ xx )
       != X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl999]) ).

thf(zip_derived_cl1859,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xF @ xx )
       != X0 )
      | ( aElementOf0 @ X0 @ ( sdtlcdtrc0 @ xF @ ( szDzozmdt0 @ xF ) ) )
      | ~ ( aSubsetOf0 @ ( szDzozmdt0 @ xF ) @ ( szDzozmdt0 @ xF ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1631]) ).

thf(zip_derived_cl1882,plain,
    ( ~ ( aSubsetOf0 @ ( szDzozmdt0 @ xF ) @ ( szDzozmdt0 @ xF ) )
    | ( ( sdtlpdtrp0 @ xF @ xx )
     != ( sdtlpdtrp0 @ xF @ xx ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl134,zip_derived_cl1859]) ).

thf(zip_derived_cl1884,plain,
    ~ ( aSubsetOf0 @ ( szDzozmdt0 @ xF ) @ ( szDzozmdt0 @ xF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1882]) ).

thf(zip_derived_cl1888,plain,
    ~ ( aSet0 @ ( szDzozmdt0 @ xF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1884]) ).

thf(zip_derived_cl132_001,plain,
    aFunction0 @ xF,
    inference(cnf,[status(esa)],[m__2911]) ).

thf(mDomSet,axiom,
    ! [W0: $i] :
      ( ( aFunction0 @ W0 )
     => ( aSet0 @ ( szDzozmdt0 @ W0 ) ) ) ).

thf(zip_derived_cl115,plain,
    ! [X0: $i] :
      ( ( aSet0 @ ( szDzozmdt0 @ X0 ) )
      | ~ ( aFunction0 @ X0 ) ),
    inference(cnf,[status(esa)],[mDomSet]) ).

thf(zip_derived_cl986,plain,
    aSet0 @ ( szDzozmdt0 @ xF ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl132,zip_derived_cl115]) ).

thf(zip_derived_cl1889,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1888,zip_derived_cl986]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM561+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TYEsW1qcIA true
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 10:06:13 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.68/0.96  % Solved by fo/fo3_bce.sh.
% 1.68/0.96  % BCE start: 135
% 1.68/0.96  % BCE eliminated: 1
% 1.68/0.96  % PE start: 134
% 1.68/0.96  logic: eq
% 1.68/0.96  % PE eliminated: 1
% 1.68/0.96  % done 191 iterations in 0.176s
% 1.68/0.96  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.68/0.96  % SZS output start Refutation
% See solution above
% 1.68/0.96  
% 1.68/0.96  
% 1.68/0.97  % Terminating...
% 1.96/1.05  % Runner terminated.
% 1.96/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------