TSTP Solution File: SEU697^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU697^2 : 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.gL58tbUMRa true

% Computer : n017.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 19:16:18 EDT 2023

% Result   : Theorem 0.21s 0.79s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i > $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(lam_type,type,
    lam: $i > $i > ( $i > $i ) > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

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

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

thf(lam,axiom,
    ( lam
    = ( ^ [A: $i,B: $i,Xf: $i > $i] :
          ( dpsetconstr @ A @ B
          @ ^ [Xx: $i,Xy: $i] :
              ( ( Xf @ Xx )
              = Xy ) ) ) ) ).

thf('0',plain,
    ( lam
    = ( ^ [A: $i,B: $i,Xf: $i > $i] :
          ( dpsetconstr @ A @ B
          @ ^ [Xx: $i,Xy: $i] :
              ( ( Xf @ Xx )
              = Xy ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[lam]) ).

thf('1',plain,
    ( lam
    = ( ^ [V_1: $i,V_2: $i,V_3: $i > $i] :
          ( dpsetconstr @ V_1 @ V_2
          @ ^ [V_4: $i,V_5: $i] :
              ( ( V_3 @ V_4 )
              = V_5 ) ) ) ),
    define([status(thm)]) ).

thf(lam2lamEq,conjecture,
    ! [A: $i,B: $i,Xf: $i > $i] :
      ( ! [Xx: $i] :
          ( ( in @ Xx @ A )
         => ( in @ ( Xf @ Xx ) @ B ) )
     => ( ( lam @ A @ B
          @ ^ [Xx: $i] : ( Xf @ Xx ) )
        = ( lam @ A @ B
          @ ^ [Xx: $i] : ( Xf @ Xx ) ) ) ) ).

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

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

thf(zip_derived_cl1,plain,
    ( ( dpsetconstr @ sk_ @ sk__1
      @ ^ [Y0: $i,Y1: $i] :
          ( ( sk__2 @ Y0 )
          = Y1 ) )
   != ( dpsetconstr @ sk_ @ sk__1
      @ ^ [Y0: $i,Y1: $i] :
          ( ( sk__2 @ Y0 )
          = Y1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU697^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gL58tbUMRa true
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 20:29:53 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
% 0.21/0.35  % Number of cores: 8
% 0.21/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in HO mode
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.79  % Solved by lams/40_c.s.sh.
% 0.21/0.79  % done 0 iterations in 0.007s
% 0.21/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.79  % SZS output start Refutation
% See solution above
% 0.21/0.79  
% 0.21/0.79  
% 0.21/0.79  % Terminating...
% 0.81/0.86  % Runner terminated.
% 0.81/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------