TSTP Solution File: GEO305+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0iVTVPDhCJ true

% Computer : n004.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 23:58:20 EDT 2023

% Result   : Theorem 1.09s 0.85s
% Output   : Refutation 1.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   49 (  24 unt;  14 typ;   0 def)
%            Number of atoms       :  114 (  28 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  286 (  62   ~;  56   |;  22   &; 145   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;  10 con; 0-3 aty)
%            Number of variables   :   43 (   0   ^;  37   !;   6   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd1288_type,type,
    vd1288: $i ).

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

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

thf(vd1287_type,type,
    vd1287: $i ).

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

thf(vd1303_type,type,
    vd1303: $i ).

thf(vd1299_type,type,
    vd1299: $i ).

thf(vd1297_type,type,
    vd1297: $i ).

thf(vf_type,type,
    vf: $i > $i > $i ).

thf(vd1302_type,type,
    vd1302: $i ).

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

thf(vd1289_type,type,
    vd1289: $i ).

thf(rR_type,type,
    rR: $i > $i > $i > $o ).

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

thf('pred(s2(plural(347)), 0)',axiom,
    ron @ vd1289 @ vd1297 ).

thf(zip_derived_cl8,plain,
    ron @ vd1289 @ vd1297,
    inference(cnf,[status(esa)],[pred(s2(plural(347)),0)]) ).

thf('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))',axiom,
    ( ? [Vd1291: $i] :
        ( ( rpoint @ Vd1291 )
        & ( vd1287 = Vd1291 ) )
    & ? [Vd1292: $i] :
        ( ( rpoint @ Vd1292 )
        & ( vd1288 = Vd1292 ) )
    & ? [Vd1293: $i] :
        ( ( rpoint @ Vd1293 )
        & ( vd1289 = Vd1293 ) )
    & ( vd1287 != vd1288 )
    & ( vd1287 != vd1289 )
    & ( vd1288 != vd1289 )
    & ( ( vf @ vd1287 @ vd1288 )
      = ( vf @ vd1287 @ vd1289 ) ) ) ).

thf(zip_derived_cl19,plain,
    vd1289 = sk__2,
    inference(cnf,[status(esa)],[and(holds(conjunct2(345),1294,0),and(pred(conjunct1(345),9),and(pred(conjunct1(345),8),and(pred(conjunct1(345),7),and(qe(s3(plural(345))),and(qe(s2(plural(345))),qe(s1(plural(345)))))))))]) ).

thf(zip_derived_cl292,plain,
    ron @ sk__2 @ vd1297,
    inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl19]) ).

thf('and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))',axiom,
    ( ( rR @ vd1288 @ vd1287 @ vd1299 )
    & ( rpoint @ vd1303 )
    & ( rR @ vd1289 @ vd1287 @ vd1302 )
    & ( vd1302 = vd1303 ) ) ).

thf(zip_derived_cl5,plain,
    rR @ vd1289 @ vd1287 @ vd1302,
    inference(cnf,[status(esa)],[and(pred(conjunct2(348),4),and(holds(conjunct2(348),1304,0),and(pred(conjunct2(348),1),holds(conjunct1(348),1301,0))))]) ).

thf(zip_derived_cl19_001,plain,
    vd1289 = sk__2,
    inference(cnf,[status(esa)],[and(holds(conjunct2(345),1294,0),and(pred(conjunct1(345),9),and(pred(conjunct1(345),8),and(pred(conjunct1(345),7),and(qe(s3(plural(345))),and(qe(s2(plural(345))),qe(s1(plural(345)))))))))]) ).

thf(zip_derived_cl23,plain,
    vd1287 = sk_,
    inference(cnf,[status(esa)],[and(holds(conjunct2(345),1294,0),and(pred(conjunct1(345),9),and(pred(conjunct1(345),8),and(pred(conjunct1(345),7),and(qe(s3(plural(345))),and(qe(s2(plural(345))),qe(s1(plural(345)))))))))]) ).

thf(zip_derived_cl6,plain,
    vd1302 = vd1303,
    inference(cnf,[status(esa)],[and(pred(conjunct2(348),4),and(holds(conjunct2(348),1304,0),and(pred(conjunct2(348),1),holds(conjunct1(348),1301,0))))]) ).

thf(zip_derived_cl297,plain,
    rR @ sk__2 @ sk_ @ vd1303,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl19,zip_derived_cl23,zip_derived_cl6]) ).

thf('qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))',axiom,
    ! [Vd352: $i,Vd353: $i,Vd354: $i,Vd359: $i,Vd360: $i] :
      ( ( ( Vd359 = Vd360 )
        & ( ron @ Vd353 @ Vd359 )
        & ( ron @ Vd352 @ Vd359 )
        & ( rR @ Vd353 @ Vd352 @ Vd354 )
        & ( rline @ Vd360 )
        & ? [Vd358: $i] :
            ( ( rpoint @ Vd358 )
            & ( Vd354 = Vd358 ) )
        & ? [Vd357: $i] :
            ( ( rpoint @ Vd357 )
            & ( Vd353 = Vd357 ) )
        & ? [Vd356: $i] :
            ( ( rpoint @ Vd356 )
            & ( Vd352 = Vd356 ) ) )
     => ( ron @ Vd354 @ Vd359 ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( ron @ X0 @ X1 )
      | ( X3 != X2 )
      | ~ ( rpoint @ X2 )
      | ( X5 != X4 )
      | ~ ( rpoint @ X4 )
      | ( X0 != X6 )
      | ~ ( rpoint @ X6 )
      | ~ ( rR @ X5 @ X3 @ X0 )
      | ~ ( ron @ X3 @ X1 )
      | ~ ( ron @ X5 @ X1 )
      | ( X1 != X7 )
      | ~ ( rline @ X7 ) ),
    inference(cnf,[status(esa)],[qu(cond(axiom(83),0),imp(cond(axiom(83),0)))]) ).

thf(zip_derived_cl322,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( rline @ X0 )
      | ( X1 != X0 )
      | ~ ( ron @ X2 @ X1 )
      | ~ ( ron @ X3 @ X1 )
      | ~ ( rR @ X2 @ X3 @ X4 )
      | ~ ( rpoint @ X5 )
      | ( X4 != X5 )
      | ~ ( rpoint @ X6 )
      | ( X2 != X6 )
      | ~ ( rpoint @ X3 )
      | ( ron @ X4 @ X1 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl323,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( ron @ X1 @ X0 )
      | ~ ( rpoint @ X2 )
      | ( X3 != X4 )
      | ~ ( rpoint @ X4 )
      | ( X1 != X5 )
      | ~ ( rpoint @ X5 )
      | ~ ( rR @ X3 @ X2 @ X1 )
      | ~ ( ron @ X2 @ X0 )
      | ~ ( ron @ X3 @ X0 )
      | ~ ( rline @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl322]) ).

thf(zip_derived_cl354,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( rline @ X0 )
      | ~ ( ron @ X1 @ X0 )
      | ~ ( ron @ X2 @ X0 )
      | ~ ( rR @ X1 @ X2 @ X3 )
      | ~ ( rpoint @ X4 )
      | ( X3 != X4 )
      | ~ ( rpoint @ X1 )
      | ~ ( rpoint @ X2 )
      | ( ron @ X3 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl323]) ).

thf(zip_derived_cl365,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ron @ X1 @ X0 )
      | ~ ( rpoint @ X2 )
      | ~ ( rpoint @ X3 )
      | ~ ( rpoint @ X1 )
      | ~ ( rR @ X3 @ X2 @ X1 )
      | ~ ( ron @ X2 @ X0 )
      | ~ ( ron @ X3 @ X0 )
      | ~ ( rline @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl354]) ).

thf(zip_derived_cl367,plain,
    ! [X0: $i] :
      ( ~ ( rline @ X0 )
      | ~ ( ron @ sk__2 @ X0 )
      | ~ ( ron @ sk_ @ X0 )
      | ~ ( rpoint @ vd1303 )
      | ~ ( rpoint @ sk__2 )
      | ~ ( rpoint @ sk_ )
      | ( ron @ vd1303 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl365]) ).

thf(zip_derived_cl4,plain,
    rpoint @ vd1303,
    inference(cnf,[status(esa)],[and(pred(conjunct2(348),4),and(holds(conjunct2(348),1304,0),and(pred(conjunct2(348),1),holds(conjunct1(348),1301,0))))]) ).

thf(zip_derived_cl18,plain,
    rpoint @ sk__2,
    inference(cnf,[status(esa)],[and(holds(conjunct2(345),1294,0),and(pred(conjunct1(345),9),and(pred(conjunct1(345),8),and(pred(conjunct1(345),7),and(qe(s3(plural(345))),and(qe(s2(plural(345))),qe(s1(plural(345)))))))))]) ).

thf(zip_derived_cl22,plain,
    rpoint @ sk_,
    inference(cnf,[status(esa)],[and(holds(conjunct2(345),1294,0),and(pred(conjunct1(345),9),and(pred(conjunct1(345),8),and(pred(conjunct1(345),7),and(qe(s3(plural(345))),and(qe(s2(plural(345))),qe(s1(plural(345)))))))))]) ).

thf(zip_derived_cl369,plain,
    ! [X0: $i] :
      ( ~ ( rline @ X0 )
      | ~ ( ron @ sk__2 @ X0 )
      | ~ ( ron @ sk_ @ X0 )
      | ( ron @ vd1303 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl367,zip_derived_cl4,zip_derived_cl18,zip_derived_cl22]) ).

thf(zip_derived_cl372,plain,
    ( ( ron @ vd1303 @ vd1297 )
    | ~ ( ron @ sk_ @ vd1297 )
    | ~ ( rline @ vd1297 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl292,zip_derived_cl369]) ).

thf('pred(conjunct2(349), 0)',conjecture,
    ron @ vd1302 @ vd1297 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ron @ vd1302 @ vd1297 ),
    inference('cnf.neg',[status(esa)],[pred(conjunct2(349),0)]) ).

thf(zip_derived_cl0,plain,
    ~ ( ron @ vd1302 @ vd1297 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_002,plain,
    vd1302 = vd1303,
    inference(cnf,[status(esa)],[and(pred(conjunct2(348),4),and(holds(conjunct2(348),1304,0),and(pred(conjunct2(348),1),holds(conjunct1(348),1301,0))))]) ).

thf(zip_derived_cl284,plain,
    ~ ( ron @ vd1303 @ vd1297 ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).

thf('pred(s1(plural(347)), 0)',axiom,
    ron @ vd1287 @ vd1297 ).

thf(zip_derived_cl9,plain,
    ron @ vd1287 @ vd1297,
    inference(cnf,[status(esa)],[pred(s1(plural(347)),0)]) ).

thf(zip_derived_cl23_003,plain,
    vd1287 = sk_,
    inference(cnf,[status(esa)],[and(holds(conjunct2(345),1294,0),and(pred(conjunct1(345),9),and(pred(conjunct1(345),8),and(pred(conjunct1(345),7),and(qe(s3(plural(345))),and(qe(s2(plural(345))),qe(s1(plural(345)))))))))]) ).

thf(zip_derived_cl293,plain,
    ron @ sk_ @ vd1297,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl23]) ).

thf('pred(347, 0)',axiom,
    rline @ vd1297 ).

thf(zip_derived_cl10,plain,
    rline @ vd1297,
    inference(cnf,[status(esa)],[pred(347,0)]) ).

thf(zip_derived_cl373,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl372,zip_derived_cl284,zip_derived_cl293,zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0iVTVPDhCJ true
% 0.14/0.35  % Computer : n004.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 : Tue Aug 29 22:35:22 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
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.65/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.05/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.05/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.05/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.09/0.85  % Solved by fo/fo5.sh.
% 1.09/0.85  % done 124 iterations in 0.084s
% 1.09/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.09/0.85  % SZS output start Refutation
% See solution above
% 1.09/0.85  
% 1.09/0.85  
% 1.09/0.85  % Terminating...
% 1.21/0.96  % Runner terminated.
% 1.55/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------