TSTP Solution File: GEO554+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO554+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zIqTaGflOX 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 23:59:07 EDT 2023

% Result   : Theorem 47.66s 7.49s
% Output   : Refutation 47.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   49 (  13 unt;  11 typ;   0 def)
%            Number of atoms       :   86 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  418 (  20   ~;  18   |;  20   &; 350   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   7 con; 0-8 aty)
%            Number of variables   :  151 (   0   ^; 151   !;   0   ?; 151   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__26_type,type,
    sk__26: $i ).

thf(perp_type,type,
    perp: $i > $i > $i > $i > $o ).

thf(circle_type,type,
    circle: $i > $i > $i > $i > $o ).

thf(eqangle_type,type,
    eqangle: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(coll_type,type,
    coll: $i > $i > $i > $o ).

thf(sk__21_type,type,
    sk__21: $i ).

thf(para_type,type,
    para: $i > $i > $i > $i > $o ).

thf(sk__25_type,type,
    sk__25: $i ).

thf(sk__22_type,type,
    sk__22: $i ).

thf(sk__23_type,type,
    sk__23: $i ).

thf(exemplo6GDDFULL012014,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i,NWPNT9: $i] :
      ( ( ( perp @ C @ A @ C @ B )
        & ( circle @ A @ C @ NWPNT1 @ NWPNT2 )
        & ( circle @ B @ C @ NWPNT3 @ NWPNT4 )
        & ( circle @ A @ C @ D @ NWPNT5 )
        & ( coll @ C @ D @ E )
        & ( circle @ B @ C @ E @ NWPNT6 )
        & ( coll @ B @ E @ F )
        & ( circle @ B @ C @ F @ NWPNT7 )
        & ( circle @ A @ C @ G @ NWPNT8 )
        & ( circle @ B @ C @ G @ NWPNT9 ) )
     => ( coll @ D @ F @ G ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i,NWPNT7: $i,NWPNT8: $i,NWPNT9: $i] :
        ( ( ( perp @ C @ A @ C @ B )
          & ( circle @ A @ C @ NWPNT1 @ NWPNT2 )
          & ( circle @ B @ C @ NWPNT3 @ NWPNT4 )
          & ( circle @ A @ C @ D @ NWPNT5 )
          & ( coll @ C @ D @ E )
          & ( circle @ B @ C @ E @ NWPNT6 )
          & ( coll @ B @ E @ F )
          & ( circle @ B @ C @ F @ NWPNT7 )
          & ( circle @ A @ C @ G @ NWPNT8 )
          & ( circle @ B @ C @ G @ NWPNT9 ) )
       => ( coll @ D @ F @ G ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL012014]) ).

thf(zip_derived_cl111,plain,
    ~ ( coll @ sk__23 @ sk__25 @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102,plain,
    perp @ sk__22 @ sk__20 @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD8,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( perp @ A @ B @ C @ D )
     => ( perp @ C @ D @ A @ B ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD8]) ).

thf(zip_derived_cl874,plain,
    perp @ sk__22 @ sk__21 @ sk__22 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl7]) ).

thf(ruleD7,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( perp @ A @ B @ C @ D )
     => ( perp @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD7]) ).

thf(zip_derived_cl880,plain,
    perp @ sk__22 @ sk__21 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl874,zip_derived_cl6]) ).

thf(zip_derived_cl7_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD8]) ).

thf(zip_derived_cl942,plain,
    perp @ sk__20 @ sk__22 @ sk__22 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl880,zip_derived_cl7]) ).

thf(ruleD9,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( perp @ A @ B @ C @ D )
        & ( perp @ C @ D @ E @ F ) )
     => ( para @ A @ B @ E @ F ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X4 @ X5 )
      | ( para @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD9]) ).

thf(zip_derived_cl1013,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__20 @ sk__22 @ X1 @ X0 )
      | ~ ( perp @ sk__22 @ sk__21 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl942,zip_derived_cl8]) ).

thf(zip_derived_cl880_002,plain,
    perp @ sk__22 @ sk__21 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl874,zip_derived_cl6]) ).

thf(zip_derived_cl3159,plain,
    para @ sk__20 @ sk__22 @ sk__20 @ sk__22,
    inference('sup+',[status(thm)],[zip_derived_cl1013,zip_derived_cl880]) ).

thf(ruleD40,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD40]) ).

thf(ruleD19,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X2 @ X3 @ X0 @ X1 @ X6 @ X7 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD19]) ).

thf(zip_derived_cl1175,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).

thf(ruleD39,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
      ( ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q )
     => ( para @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD39]) ).

thf(zip_derived_cl3887,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1175,zip_derived_cl30]) ).

thf(zip_derived_cl44269,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3159,zip_derived_cl3887]) ).

thf(ruleD66,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( para @ A @ B @ A @ C )
     => ( coll @ A @ B @ C ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl44284,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl44269,zip_derived_cl54]) ).

thf(ruleD3,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( coll @ A @ B @ C )
        & ( coll @ A @ B @ D ) )
     => ( coll @ C @ D @ A ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X3 )
      | ( coll @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleD3]) ).

thf(zip_derived_cl853,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X0 @ X2 )
      | ~ ( coll @ X2 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl44339,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl44284,zip_derived_cl853]) ).

thf(zip_derived_cl2_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X3 )
      | ( coll @ X2 @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleD3]) ).

thf(zip_derived_cl45511,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X2 @ X1 )
      | ~ ( coll @ X1 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44339,zip_derived_cl2]) ).

thf(zip_derived_cl44339_004,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl44284,zip_derived_cl853]) ).

thf(zip_derived_cl45567,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl45511,zip_derived_cl44339]) ).

thf(zip_derived_cl45618,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl45567]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO554+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zIqTaGflOX true
% 0.15/0.36  % Computer : n004.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
% 0.15/0.36  % DateTime : Tue Aug 29 20:56:22 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.23/0.62  % Total configuration time : 435
% 0.23/0.62  % Estimated wc time : 1092
% 0.23/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.68/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.68/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.68/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.68/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.68/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.68/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.68/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 47.66/7.49  % Solved by fo/fo3_bce.sh.
% 47.66/7.49  % BCE start: 112
% 47.66/7.49  % BCE eliminated: 1
% 47.66/7.49  % PE start: 111
% 47.66/7.49  logic: eq
% 47.66/7.49  % PE eliminated: 0
% 47.66/7.49  % done 9304 iterations in 6.766s
% 47.66/7.49  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 47.66/7.49  % SZS output start Refutation
% See solution above
% 47.66/7.49  
% 47.66/7.49  
% 47.66/7.49  % Terminating...
% 47.97/7.61  % Runner terminated.
% 47.97/7.63  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------