TSTP Solution File: GEO278+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO278+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.8rYxhgGSBG true

% Computer : n022.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 23:58:14 EDT 2023

% Result   : Theorem 11.24s 2.19s
% Output   : Refutation 11.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   30 (   8 unt;   9 typ;   0 def)
%            Number of atoms       :   83 (  20 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  223 (  49   ~;  45   |;  14   &; 112   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   39 (   0   ^;  37   !;   2   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd1089_type,type,
    vd1089: $i ).

thf(rcenter_type,type,
    rcenter: $i > $i > $o ).

thf(rcircle_type,type,
    rcircle: $i > $o ).

thf(vd1102_type,type,
    vd1102: $i ).

thf(vd1096_type,type,
    vd1096: $i ).

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

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

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

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

thf('and(pred(comma_conjunct2(the(231)), 0), and(pred(comma_conjunct1(the(231)), 0), pred(the(231), 0)))',axiom,
    ( ( rcircle @ vd1102 )
    & ( rcenter @ vd1089 @ vd1102 )
    & ( ron @ vd1096 @ vd1102 ) ) ).

thf(zip_derived_cl6,plain,
    ron @ vd1096 @ vd1102,
    inference(cnf,[status(esa)],[and(pred(comma_conjunct2(the(231)),0),and(pred(comma_conjunct1(the(231)),0),pred(the(231),0)))]) ).

thf('qu(theu(the(231), 1), imp(the(231)))',conjecture,
    ! [Vdthex: $i] :
      ( ( ( ron @ vd1096 @ Vdthex )
        & ( rcenter @ vd1089 @ Vdthex )
        & ( rcircle @ Vdthex ) )
     => ( Vdthex = vd1102 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Vdthex: $i] :
        ( ( ( ron @ vd1096 @ Vdthex )
          & ( rcenter @ vd1089 @ Vdthex )
          & ( rcircle @ Vdthex ) )
       => ( Vdthex = vd1102 ) ),
    inference('cnf.neg',[status(esa)],[qu(theu(the(231),1),imp(the(231)))]) ).

thf(zip_derived_cl1,plain,
    rcenter @ vd1089 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    rcenter @ vd1089 @ vd1102,
    inference(cnf,[status(esa)],[and(pred(comma_conjunct2(the(231)),0),and(pred(comma_conjunct1(the(231)),0),pred(the(231),0)))]) ).

thf('qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))',axiom,
    ! [Vd837: $i,Vd838: $i,Vd842: $i,Vd843: $i,Vd844: $i] :
      ( ( ( ( vf @ Vd842 @ Vd837 )
          = ( vf @ Vd842 @ Vd838 ) )
        & ( ron @ Vd838 @ Vd844 )
        & ( ron @ Vd837 @ Vd843 )
        & ( rcenter @ Vd842 @ Vd844 )
        & ( rcenter @ Vd842 @ Vd843 )
        & ? [Vd841: $i] :
            ( ( rpoint @ Vd841 )
            & ( Vd838 = Vd841 ) )
        & ? [Vd840: $i] :
            ( ( rpoint @ Vd840 )
            & ( Vd837 = Vd840 ) ) )
     => ( Vd843 = Vd844 ) ) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ( X1 != X0 )
      | ~ ( rpoint @ X0 )
      | ( X3 != X2 )
      | ~ ( rpoint @ X2 )
      | ~ ( rcenter @ X4 @ X5 )
      | ~ ( ron @ X1 @ X5 )
      | ( ( vf @ X4 @ X1 )
       != ( vf @ X4 @ X3 ) )
      | ~ ( ron @ X3 @ X6 )
      | ~ ( rcenter @ X4 @ X6 )
      | ( X5 = X6 ) ),
    inference(cnf,[status(esa)],[qu(cond(axiom(182),0),imp(cond(axiom(182),0)))]) ).

thf(zip_derived_cl1288,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( X0 = X1 )
      | ~ ( rcenter @ X2 @ X1 )
      | ~ ( ron @ X3 @ X1 )
      | ~ ( ron @ X3 @ X0 )
      | ~ ( rcenter @ X2 @ X0 )
      | ~ ( rpoint @ X4 )
      | ( X3 != X4 )
      | ~ ( rpoint @ X5 )
      | ( X3 != X5 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl83]) ).

thf(zip_derived_cl5217,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X0 != X1 )
      | ~ ( rpoint @ X1 )
      | ~ ( rpoint @ X0 )
      | ~ ( rcenter @ X3 @ X2 )
      | ~ ( ron @ X0 @ X2 )
      | ~ ( ron @ X0 @ X4 )
      | ~ ( rcenter @ X3 @ X4 )
      | ( X2 = X4 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1288]) ).

thf(zip_derived_cl5218,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = X1 )
      | ~ ( rcenter @ X2 @ X1 )
      | ~ ( ron @ X3 @ X1 )
      | ~ ( ron @ X3 @ X0 )
      | ~ ( rcenter @ X2 @ X0 )
      | ~ ( rpoint @ X3 )
      | ~ ( rpoint @ X3 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl5217]) ).

thf(zip_derived_cl5219,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( rpoint @ X3 )
      | ~ ( rcenter @ X2 @ X0 )
      | ~ ( ron @ X3 @ X0 )
      | ~ ( ron @ X3 @ X1 )
      | ~ ( rcenter @ X2 @ X1 )
      | ( X0 = X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5218]) ).

thf(zip_derived_cl5221,plain,
    ! [X0: $i,X1: $i] :
      ( ( vd1102 = X0 )
      | ~ ( rcenter @ vd1089 @ X0 )
      | ~ ( ron @ X1 @ X0 )
      | ~ ( ron @ X1 @ vd1102 )
      | ~ ( rpoint @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl5219]) ).

thf(zip_derived_cl5228,plain,
    ! [X0: $i] :
      ( ~ ( rpoint @ X0 )
      | ~ ( ron @ X0 @ vd1102 )
      | ~ ( ron @ X0 @ sk_ )
      | ( vd1102 = sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl5221]) ).

thf(zip_derived_cl3,plain,
    sk_ != vd1102,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5231,plain,
    ! [X0: $i] :
      ( ~ ( rpoint @ X0 )
      | ~ ( ron @ X0 @ vd1102 )
      | ~ ( ron @ X0 @ sk_ ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5228,zip_derived_cl3]) ).

thf(zip_derived_cl5249,plain,
    ( ~ ( ron @ vd1096 @ sk_ )
    | ~ ( rpoint @ vd1096 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl5231]) ).

thf(zip_derived_cl0,plain,
    ron @ vd1096 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('pred(229, 0)',axiom,
    rpoint @ vd1096 ).

thf(zip_derived_cl13,plain,
    rpoint @ vd1096,
    inference(cnf,[status(esa)],[pred(229,0)]) ).

thf(zip_derived_cl5279,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5249,zip_derived_cl0,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO278+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8rYxhgGSBG true
% 0.13/0.35  % Computer : n022.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 30 00:03:08 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.53/0.63  % Total configuration time : 435
% 0.53/0.63  % Estimated wc time : 1092
% 0.53/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 11.24/2.19  % Solved by fo/fo5.sh.
% 11.24/2.19  % done 2142 iterations in 1.415s
% 11.24/2.19  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.24/2.19  % SZS output start Refutation
% See solution above
% 11.24/2.20  
% 11.24/2.20  
% 11.24/2.20  % Terminating...
% 11.24/2.25  % Runner terminated.
% 11.24/2.27  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------