↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU453^1 : TPTP v9.2.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OTEFcnReE9 true

% Computer : n012.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 Oct  2 04:54:42 PM UTC 2025

% Result   : Theorem 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   10 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   20 (  11 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :   24 (   1   ~;   5   |;   0   &;  18   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   1 con; 0-3 aty)
%            Number of variables   :   20 (  12   ^;   8   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(refl_type,type,
    refl: ( $i > $i > $o ) > $o ).

thf(rc_type,type,
    rc: ( $i > $i > $o ) > $i > $i > $o ).

thf(reflexive_closure,axiom,
    ( rc
    = ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
          ( ( X = Y )
          | ( R @ X @ Y ) ) ) ) ).

thf('0',plain,
    ( rc
    = ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
          ( ( X = Y )
          | ( R @ X @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[reflexive_closure]) ).

thf('1',plain,
    ( rc
    = ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] :
          ( ( V_2 = V_3 )
          | ( V_1 @ V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(reflexive,axiom,
    ( refl
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i] : ( R @ X @ X ) ) ) ).

thf('2',plain,
    ( refl
    = ( ^ [R: $i > $i > $o] :
        ! [X: $i] : ( R @ X @ X ) ) ),
    inference(simplify_rw_rule,[status(thm)],[reflexive]) ).

thf('3',plain,
    ( refl
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 @ X4 ) ) ),
    define([status(thm)]) ).

thf(reflexive_closure_is_reflexive,conjecture,
    ! [R: $i > $i > $o] : ( refl @ ( rc @ R ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $i > $o,X6: $i] :
      ( ( X6 = X6 )
      | ( X4 @ X6 @ X6 ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $i > $o,X6: $i] :
        ( ( X6 = X6 )
        | ( X4 @ X6 @ X6 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    $false,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU453^1 : TPTP v9.2.0. Released v3.6.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OTEFcnReE9 true
% 0.13/0.35  % Computer : n012.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 Oct  1 16:10:53 EDT 2025
% 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 HO mode
% 0.56/0.67  % Total configuration time : 828
% 0.56/0.67  % Estimated wc time : 1656
% 0.56/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.77  % Solved by lams/40_c.s.sh.
% 0.56/0.77  % done 0 iterations in 0.021s
% 0.56/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77  % SZS output start Refutation
% See solution above
% 0.56/0.77  
% 0.56/0.77  
% 0.56/0.77  % Terminating...
% 0.60/0.86  % Runner terminated.
% 1.96/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------