TSTP Solution File: GEO342+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO342+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MJCG18Hp6y true

% Computer : n027.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 23:58:26 EDT 2023

% Result   : Theorem 0.89s 1.18s
% Output   : Refutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   49 (  17 unt;  11 typ;   0 def)
%            Number of atoms       :  118 (  45 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  264 (  58   ~;  57   |;  22   &; 126   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   41 (   0   ^;  33   !;   8   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd1406_type,type,
    vd1406: $i ).

thf(sk__7_type,type,
    sk__7: $i > $i > $i ).

thf(vd1401_type,type,
    vd1401: $i ).

thf(vd1399_type,type,
    vd1399: $i ).

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

thf(sk__2_type,type,
    sk__2: $i ).

thf(ron_type,type,
    ron: $i > $i > $o ).

thf(vd1407_type,type,
    vd1407: $i ).

thf(vd1400_type,type,
    vd1400: $i ).

thf(rline_type,type,
    rline: $i > $o ).

thf(rpoint_type,type,
    rpoint: $i > $o ).

thf('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))',axiom,
    ! [Vd217: $i,Vd218: $i] :
      ( ( ( Vd217 != Vd218 )
        & ? [Vd221: $i] :
            ( ( rpoint @ Vd221 )
            & ( Vd218 = Vd221 ) )
        & ? [Vd220: $i] :
            ( ( rpoint @ Vd220 )
            & ( Vd217 = Vd220 ) ) )
     => ? [Vd223: $i] :
          ( ( rline @ Vd223 )
          & ( ron @ Vd217 @ Vd223 )
          & ( ron @ Vd218 @ Vd223 ) ) ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 != X0 )
      | ~ ( rpoint @ X0 )
      | ( X1 = X2 )
      | ~ ( rpoint @ X3 )
      | ( X2 != X3 )
      | ( rline @ ( sk__7 @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[qu(cond(axiom(51),0),imp(cond(axiom(51),0)))]) ).

thf(zip_derived_cl496,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( rline @ ( sk__7 @ X1 @ X0 ) )
      | ( X1 != X2 )
      | ~ ( rpoint @ X2 )
      | ( X0 = X1 )
      | ~ ( rpoint @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl62]) ).

thf(zip_derived_cl575,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rpoint @ X0 )
      | ( X0 = X1 )
      | ~ ( rpoint @ X1 )
      | ( rline @ ( sk__7 @ X1 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl496]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 != X0 )
      | ~ ( rpoint @ X0 )
      | ( X1 = X2 )
      | ~ ( rpoint @ X3 )
      | ( X2 != X3 )
      | ( ron @ X2 @ ( sk__7 @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[qu(cond(axiom(51),0),imp(cond(axiom(51),0)))]) ).

thf(zip_derived_cl707,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ron @ X1 @ ( sk__7 @ X1 @ X0 ) )
      | ( X1 != X2 )
      | ~ ( rpoint @ X2 )
      | ( X0 = X1 )
      | ~ ( rpoint @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl957,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rpoint @ X0 )
      | ( X0 = X1 )
      | ~ ( rpoint @ X1 )
      | ( ron @ X1 @ ( sk__7 @ X1 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl707]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 != X0 )
      | ~ ( rpoint @ X0 )
      | ( X1 = X2 )
      | ~ ( rpoint @ X3 )
      | ( X2 != X3 )
      | ( ron @ X1 @ ( sk__7 @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[qu(cond(axiom(51),0),imp(cond(axiom(51),0)))]) ).

thf(zip_derived_cl669,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ron @ X0 @ ( sk__7 @ X1 @ X0 ) )
      | ( X1 != X2 )
      | ~ ( rpoint @ X2 )
      | ( X0 = X1 )
      | ~ ( rpoint @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl63]) ).

thf(zip_derived_cl956,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rpoint @ X0 )
      | ( X0 = X1 )
      | ~ ( rpoint @ X1 )
      | ( ron @ X0 @ ( sk__7 @ X1 @ X0 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl669]) ).

thf('qe(thee(the(408), 1))',conjecture,
    ? [Vd1416: $i] :
      ( ( rline @ Vd1416 )
      & ( ron @ vd1401 @ Vd1416 )
      & ( ron @ vd1399 @ Vd1416 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Vd1416: $i] :
        ( ( rline @ Vd1416 )
        & ( ron @ vd1401 @ Vd1416 )
        & ( ron @ vd1399 @ Vd1416 ) ),
    inference('cnf.neg',[status(esa)],[qe(thee(the(408),1))]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ~ ( rline @ X0 )
      | ~ ( ron @ vd1401 @ X0 )
      | ~ ( ron @ vd1399 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))',axiom,
    ( ? [Vd1403: $i] :
        ( ( rpoint @ Vd1403 )
        & ( vd1399 = Vd1403 ) )
    & ? [Vd1404: $i] :
        ( ( rpoint @ Vd1404 )
        & ( vd1400 = Vd1404 ) )
    & ? [Vd1405: $i] :
        ( ( rpoint @ Vd1405 )
        & ( vd1401 = Vd1405 ) )
    & ( vd1399 != vd1400 )
    & ( vd1399 != vd1401 )
    & ( vd1400 != vd1401 )
    & ( rline @ vd1407 )
    & ( ron @ vd1399 @ vd1406 )
    & ( ron @ vd1400 @ vd1406 )
    & ( vd1406 = vd1407 ) ) ).

thf(zip_derived_cl15,plain,
    vd1401 = sk__2,
    inference(cnf,[status(esa)],[and(pred(conjunct2(405),5),and(pred(s2(plural(conjunct2(405))),0),and(pred(s1(plural(conjunct2(405))),0),and(pred(conjunct2(405),1),and(pred(conjunct1(405),9),and(pred(conjunct1(405),8),and(pred(conjunct1(405),7),and(qe(s3(plural(405))),and(qe(s2(plural(405))),qe(s1(plural(405))))))))))))]) ).

thf(zip_derived_cl19,plain,
    vd1399 = sk_,
    inference(cnf,[status(esa)],[and(pred(conjunct2(405),5),and(pred(s2(plural(conjunct2(405))),0),and(pred(s1(plural(conjunct2(405))),0),and(pred(conjunct2(405),1),and(pred(conjunct1(405),9),and(pred(conjunct1(405),8),and(pred(conjunct1(405),7),and(qe(s3(plural(405))),and(qe(s2(plural(405))),qe(s1(plural(405))))))))))))]) ).

thf(zip_derived_cl287,plain,
    ! [X0: $i] :
      ( ~ ( rline @ X0 )
      | ~ ( ron @ sk__2 @ X0 )
      | ~ ( ron @ sk_ @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl15,zip_derived_cl19]) ).

thf(zip_derived_cl1025,plain,
    ! [X0: $i] :
      ( ~ ( rpoint @ X0 )
      | ( sk__2 = X0 )
      | ~ ( rpoint @ sk__2 )
      | ~ ( ron @ sk_ @ ( sk__7 @ X0 @ sk__2 ) )
      | ~ ( rline @ ( sk__7 @ X0 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl956,zip_derived_cl287]) ).

thf(zip_derived_cl14,plain,
    rpoint @ sk__2,
    inference(cnf,[status(esa)],[and(pred(conjunct2(405),5),and(pred(s2(plural(conjunct2(405))),0),and(pred(s1(plural(conjunct2(405))),0),and(pred(conjunct2(405),1),and(pred(conjunct1(405),9),and(pred(conjunct1(405),8),and(pred(conjunct1(405),7),and(qe(s3(plural(405))),and(qe(s2(plural(405))),qe(s1(plural(405))))))))))))]) ).

thf(zip_derived_cl1031,plain,
    ! [X0: $i] :
      ( ~ ( rpoint @ X0 )
      | ( sk__2 = X0 )
      | ~ ( ron @ sk_ @ ( sk__7 @ X0 @ sk__2 ) )
      | ~ ( rline @ ( sk__7 @ X0 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1025,zip_derived_cl14]) ).

thf(zip_derived_cl1065,plain,
    ( ~ ( rpoint @ sk_ )
    | ( sk__2 = sk_ )
    | ~ ( rpoint @ sk__2 )
    | ~ ( rline @ ( sk__7 @ sk_ @ sk__2 ) )
    | ( sk__2 = sk_ )
    | ~ ( rpoint @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl957,zip_derived_cl1031]) ).

thf(zip_derived_cl18,plain,
    rpoint @ sk_,
    inference(cnf,[status(esa)],[and(pred(conjunct2(405),5),and(pred(s2(plural(conjunct2(405))),0),and(pred(s1(plural(conjunct2(405))),0),and(pred(conjunct2(405),1),and(pred(conjunct1(405),9),and(pred(conjunct1(405),8),and(pred(conjunct1(405),7),and(qe(s3(plural(405))),and(qe(s2(plural(405))),qe(s1(plural(405))))))))))))]) ).

thf(zip_derived_cl14_001,plain,
    rpoint @ sk__2,
    inference(cnf,[status(esa)],[and(pred(conjunct2(405),5),and(pred(s2(plural(conjunct2(405))),0),and(pred(s1(plural(conjunct2(405))),0),and(pred(conjunct2(405),1),and(pred(conjunct1(405),9),and(pred(conjunct1(405),8),and(pred(conjunct1(405),7),and(qe(s3(plural(405))),and(qe(s2(plural(405))),qe(s1(plural(405))))))))))))]) ).

thf(zip_derived_cl18_002,plain,
    rpoint @ sk_,
    inference(cnf,[status(esa)],[and(pred(conjunct2(405),5),and(pred(s2(plural(conjunct2(405))),0),and(pred(s1(plural(conjunct2(405))),0),and(pred(conjunct2(405),1),and(pred(conjunct1(405),9),and(pred(conjunct1(405),8),and(pred(conjunct1(405),7),and(qe(s3(plural(405))),and(qe(s2(plural(405))),qe(s1(plural(405))))))))))))]) ).

thf(zip_derived_cl1066,plain,
    ( ( sk__2 = sk_ )
    | ~ ( rline @ ( sk__7 @ sk_ @ sk__2 ) )
    | ( sk__2 = sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl1065,zip_derived_cl18,zip_derived_cl14,zip_derived_cl18]) ).

thf(zip_derived_cl1067,plain,
    ( ~ ( rline @ ( sk__7 @ sk_ @ sk__2 ) )
    | ( sk__2 = sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1066]) ).

thf(zip_derived_cl12,plain,
    vd1399 != vd1401,
    inference(cnf,[status(esa)],[and(pred(conjunct2(405),5),and(pred(s2(plural(conjunct2(405))),0),and(pred(s1(plural(conjunct2(405))),0),and(pred(conjunct2(405),1),and(pred(conjunct1(405),9),and(pred(conjunct1(405),8),and(pred(conjunct1(405),7),and(qe(s3(plural(405))),and(qe(s2(plural(405))),qe(s1(plural(405))))))))))))]) ).

thf(zip_derived_cl15_003,plain,
    vd1401 = sk__2,
    inference(cnf,[status(esa)],[and(pred(conjunct2(405),5),and(pred(s2(plural(conjunct2(405))),0),and(pred(s1(plural(conjunct2(405))),0),and(pred(conjunct2(405),1),and(pred(conjunct1(405),9),and(pred(conjunct1(405),8),and(pred(conjunct1(405),7),and(qe(s3(plural(405))),and(qe(s2(plural(405))),qe(s1(plural(405))))))))))))]) ).

thf(zip_derived_cl285,plain,
    vd1399 != sk__2,
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl15]) ).

thf(zip_derived_cl19_004,plain,
    vd1399 = sk_,
    inference(cnf,[status(esa)],[and(pred(conjunct2(405),5),and(pred(s2(plural(conjunct2(405))),0),and(pred(s1(plural(conjunct2(405))),0),and(pred(conjunct2(405),1),and(pred(conjunct1(405),9),and(pred(conjunct1(405),8),and(pred(conjunct1(405),7),and(qe(s3(plural(405))),and(qe(s2(plural(405))),qe(s1(plural(405))))))))))))]) ).

thf(zip_derived_cl288,plain,
    sk_ != sk__2,
    inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl19]) ).

thf(zip_derived_cl1068,plain,
    ~ ( rline @ ( sk__7 @ sk_ @ sk__2 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1067,zip_derived_cl288]) ).

thf(zip_derived_cl1069,plain,
    ( ~ ( rpoint @ sk_ )
    | ( sk__2 = sk_ )
    | ~ ( rpoint @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl1068]) ).

thf(zip_derived_cl18_005,plain,
    rpoint @ sk_,
    inference(cnf,[status(esa)],[and(pred(conjunct2(405),5),and(pred(s2(plural(conjunct2(405))),0),and(pred(s1(plural(conjunct2(405))),0),and(pred(conjunct2(405),1),and(pred(conjunct1(405),9),and(pred(conjunct1(405),8),and(pred(conjunct1(405),7),and(qe(s3(plural(405))),and(qe(s2(plural(405))),qe(s1(plural(405))))))))))))]) ).

thf(zip_derived_cl14_006,plain,
    rpoint @ sk__2,
    inference(cnf,[status(esa)],[and(pred(conjunct2(405),5),and(pred(s2(plural(conjunct2(405))),0),and(pred(s1(plural(conjunct2(405))),0),and(pred(conjunct2(405),1),and(pred(conjunct1(405),9),and(pred(conjunct1(405),8),and(pred(conjunct1(405),7),and(qe(s3(plural(405))),and(qe(s2(plural(405))),qe(s1(plural(405))))))))))))]) ).

thf(zip_derived_cl1070,plain,
    sk__2 = sk_,
    inference(demod,[status(thm)],[zip_derived_cl1069,zip_derived_cl18,zip_derived_cl14]) ).

thf(zip_derived_cl288_007,plain,
    sk_ != sk__2,
    inference(demod,[status(thm)],[zip_derived_cl285,zip_derived_cl19]) ).

thf(zip_derived_cl1071,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1070,zip_derived_cl288]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : GEO342+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MJCG18Hp6y true
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.37  % DateTime : Tue Aug 29 20:59:08 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.87/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.87/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.87/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.87/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.89/1.18  % Solved by fo/fo5.sh.
% 0.89/1.18  % done 487 iterations in 0.381s
% 0.89/1.18  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.89/1.18  % SZS output start Refutation
% See solution above
% 0.89/1.18  
% 0.89/1.18  
% 0.89/1.18  % Terminating...
% 0.89/1.27  % Runner terminated.
% 0.89/1.28  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------