TSTP Solution File: GEO272+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO272+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.L5UsSdx7cM true

% Computer : n032.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 23:58:13 EDT 2023

% Result   : Theorem 3.21s 1.07s
% Output   : Refutation 3.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   40 (  15 unt;  11 typ;   0 def)
%            Number of atoms       :   95 (  27 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  237 (  50   ~;  45   |;  18   &; 121   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   39 (   0   ^;  37   !;   2   ?;  39   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd1057_type,type,
    vd1057: $i ).

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

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

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

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

thf(vd1063_type,type,
    vd1063: $i ).

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

thf(vd1055_type,type,
    vd1055: $i ).

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

thf(vd1058_type,type,
    vd1058: $i ).

thf(vd1056_type,type,
    vd1056: $i ).

thf('and(pred(comma_conjunct2(the(212)), 0), and(pred(comma_conjunct1(the(212)), 0), pred(the(212), 0)))',axiom,
    ( ( rcircle @ vd1063 )
    & ( rcenter @ vd1057 @ vd1063 )
    & ( ron @ vd1055 @ vd1063 ) ) ).

thf(zip_derived_cl6,plain,
    ron @ vd1055 @ vd1063,
    inference(cnf,[status(esa)],[and(pred(comma_conjunct2(the(212)),0),and(pred(comma_conjunct1(the(212)),0),pred(the(212),0)))]) ).

thf('and(pred(conjunct2(210), 4), and(holds(conjunct2(210), 1059, 0), and(pred(conjunct2(210), 1), and(pred(conjunct1(210), 2), pred(conjunct1(210), 1)))))',axiom,
    ( ( rpoint @ vd1056 )
    & ( vd1055 = vd1056 )
    & ( rpoint @ vd1058 )
    & ( vd1055 != vd1057 )
    & ( vd1057 = vd1058 ) ) ).

thf(zip_derived_cl13,plain,
    vd1055 = vd1056,
    inference(cnf,[status(esa)],[and(pred(conjunct2(210),4),and(holds(conjunct2(210),1059,0),and(pred(conjunct2(210),1),and(pred(conjunct1(210),2),pred(conjunct1(210),1)))))]) ).

thf(zip_derived_cl257,plain,
    ron @ vd1056 @ vd1063,
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).

thf('qu(theu(the(212), 1), imp(the(212)))',conjecture,
    ! [Vdthex: $i] :
      ( ( ( ron @ vd1055 @ Vdthex )
        & ( rcenter @ vd1057 @ Vdthex )
        & ( rcircle @ Vdthex ) )
     => ( Vdthex = vd1063 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Vdthex: $i] :
        ( ( ( ron @ vd1055 @ Vdthex )
          & ( rcenter @ vd1057 @ Vdthex )
          & ( rcircle @ Vdthex ) )
       => ( Vdthex = vd1063 ) ),
    inference('cnf.neg',[status(esa)],[qu(theu(the(212),1),imp(the(212)))]) ).

thf(zip_derived_cl1,plain,
    rcenter @ vd1057 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    vd1057 = vd1058,
    inference(cnf,[status(esa)],[and(pred(conjunct2(210),4),and(holds(conjunct2(210),1059,0),and(pred(conjunct2(210),1),and(pred(conjunct1(210),2),pred(conjunct1(210),1)))))]) ).

thf(zip_derived_cl263,plain,
    rcenter @ vd1058 @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl16]) ).

thf(zip_derived_cl5,plain,
    rcenter @ vd1057 @ vd1063,
    inference(cnf,[status(esa)],[and(pred(comma_conjunct2(the(212)),0),and(pred(comma_conjunct1(the(212)),0),pred(the(212),0)))]) ).

thf(zip_derived_cl16_001,plain,
    vd1057 = vd1058,
    inference(cnf,[status(esa)],[and(pred(conjunct2(210),4),and(holds(conjunct2(210),1059,0),and(pred(conjunct2(210),1),and(pred(conjunct1(210),2),pred(conjunct1(210),1)))))]) ).

thf(zip_derived_cl259,plain,
    rcenter @ vd1058 @ vd1063,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl16]) ).

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_cl22,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_cl364,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_cl22]) ).

thf(zip_derived_cl1178,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_cl364]) ).

thf(zip_derived_cl1179,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_cl1178]) ).

thf(zip_derived_cl1180,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_cl1179]) ).

thf(zip_derived_cl1182,plain,
    ! [X0: $i,X1: $i] :
      ( ( vd1063 = X0 )
      | ~ ( rcenter @ vd1058 @ X0 )
      | ~ ( ron @ X1 @ X0 )
      | ~ ( ron @ X1 @ vd1063 )
      | ~ ( rpoint @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl259,zip_derived_cl1180]) ).

thf(zip_derived_cl1189,plain,
    ! [X0: $i] :
      ( ~ ( rpoint @ X0 )
      | ~ ( ron @ X0 @ vd1063 )
      | ~ ( ron @ X0 @ sk_ )
      | ( vd1063 = sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl1182]) ).

thf(zip_derived_cl3,plain,
    sk_ != vd1063,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1192,plain,
    ! [X0: $i] :
      ( ~ ( rpoint @ X0 )
      | ~ ( ron @ X0 @ vd1063 )
      | ~ ( ron @ X0 @ sk_ ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1189,zip_derived_cl3]) ).

thf(zip_derived_cl1193,plain,
    ( ~ ( ron @ vd1056 @ sk_ )
    | ~ ( rpoint @ vd1056 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl1192]) ).

thf(zip_derived_cl0,plain,
    ron @ vd1055 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_002,plain,
    vd1055 = vd1056,
    inference(cnf,[status(esa)],[and(pred(conjunct2(210),4),and(holds(conjunct2(210),1059,0),and(pred(conjunct2(210),1),and(pred(conjunct1(210),2),pred(conjunct1(210),1)))))]) ).

thf(zip_derived_cl260,plain,
    ron @ vd1056 @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl13]) ).

thf(zip_derived_cl12,plain,
    rpoint @ vd1056,
    inference(cnf,[status(esa)],[and(pred(conjunct2(210),4),and(holds(conjunct2(210),1059,0),and(pred(conjunct2(210),1),and(pred(conjunct1(210),2),pred(conjunct1(210),1)))))]) ).

thf(zip_derived_cl1203,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1193,zip_derived_cl260,zip_derived_cl12]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GEO272+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.L5UsSdx7cM true
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Wed Aug 30 00:07:32 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 0.11/0.31  % Running portfolio for 300 s
% 0.11/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in FO mode
% 0.17/0.53  % Total configuration time : 435
% 0.17/0.53  % Estimated wc time : 1092
% 0.17/0.53  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.57  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.59  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.60  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.60  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.60  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.61  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.62  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.21/1.07  % Solved by fo/fo5.sh.
% 3.21/1.07  % done 612 iterations in 0.404s
% 3.21/1.07  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.21/1.07  % SZS output start Refutation
% See solution above
% 3.21/1.07  
% 3.21/1.07  
% 3.21/1.07  % Terminating...
% 3.97/1.14  % Runner terminated.
% 3.97/1.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------