TSTP Solution File: GEO579+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO579+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t943evR3bZ true

% Computer : n008.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 23:59:14 EDT 2023

% Result   : Theorem 2.98s 1.18s
% Output   : Refutation 2.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   69 (  28 unt;  10 typ;   0 def)
%            Number of atoms       :  112 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   1 avg)
%            Number of connectives :  455 (  33   ~;  31   |;  17   &; 369   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (  10 usr;   8 con; 0-8 aty)
%            Number of variables   :   97 (   0   ^;  97   !;   0   ?;  97   :)

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

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

thf(sk__26_type,type,
    sk__26: $i ).

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

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

thf(sk__24_type,type,
    sk__24: $i ).

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

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

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

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

thf(exemplo6GDDFULL416041,conjecture,
    ! [A: $i,B: $i,C: $i,I: $i,Y: $i,L: $i,X: $i] :
      ( ( ( eqangle @ I @ A @ A @ B @ I @ A @ A @ C )
        & ( eqangle @ I @ B @ B @ C @ I @ B @ B @ A )
        & ( eqangle @ I @ C @ C @ A @ I @ C @ C @ B )
        & ( perp @ Y @ I @ A @ C )
        & ( coll @ Y @ A @ C )
        & ( perp @ L @ I @ B @ C )
        & ( coll @ L @ B @ C )
        & ( perp @ X @ B @ A @ I )
        & ( coll @ X @ A @ I ) )
     => ( coll @ X @ Y @ L ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,I: $i,Y: $i,L: $i,X: $i] :
        ( ( ( eqangle @ I @ A @ A @ B @ I @ A @ A @ C )
          & ( eqangle @ I @ B @ B @ C @ I @ B @ B @ A )
          & ( eqangle @ I @ C @ C @ A @ I @ C @ C @ B )
          & ( perp @ Y @ I @ A @ C )
          & ( coll @ Y @ A @ C )
          & ( perp @ L @ I @ B @ C )
          & ( coll @ L @ B @ C )
          & ( perp @ X @ B @ A @ I )
          & ( coll @ X @ A @ I ) )
       => ( coll @ X @ Y @ L ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL416041]) ).

thf(zip_derived_cl113,plain,
    ~ ( coll @ sk__26 @ sk__24 @ sk__25 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl114,plain,
    coll @ sk__26 @ sk__20 @ sk__23,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( coll @ A @ B @ C )
     => ( coll @ A @ C @ B ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl125,plain,
    coll @ sk__26 @ sk__23 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl0]) ).

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_cl167,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_cl182,plain,
    coll @ sk__20 @ sk__20 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl167]) ).

thf(zip_derived_cl120,plain,
    coll @ sk__24 @ sk__20 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl123,plain,
    coll @ sk__24 @ sk__22 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl0]) ).

thf(ruleD2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( coll @ A @ B @ C )
     => ( coll @ B @ A @ C ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl129,plain,
    coll @ sk__22 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl1]) ).

thf(zip_derived_cl167_002,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_cl174,plain,
    coll @ sk__20 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl167]) ).

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_cl221,plain,
    ! [X0: $i] :
      ( ( coll @ sk__22 @ X0 @ sk__20 )
      | ~ ( coll @ sk__20 @ sk__20 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl2]) ).

thf(zip_derived_cl1004,plain,
    coll @ sk__22 @ sk__26 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl182,zip_derived_cl221]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl1010,plain,
    coll @ sk__22 @ sk__20 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl1004,zip_derived_cl0]) ).

thf(zip_derived_cl1_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl1024,plain,
    coll @ sk__20 @ sk__22 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl1010,zip_derived_cl1]) ).

thf(zip_derived_cl120_006,plain,
    coll @ sk__24 @ sk__20 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl128,plain,
    coll @ sk__20 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl1]) ).

thf(zip_derived_cl0_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl137,plain,
    coll @ sk__20 @ sk__22 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl0]) ).

thf(zip_derived_cl2_009,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_cl153,plain,
    ! [X0: $i] :
      ( ( coll @ sk__24 @ X0 @ sk__20 )
      | ~ ( coll @ sk__20 @ sk__22 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl2]) ).

thf(zip_derived_cl1054,plain,
    coll @ sk__24 @ sk__26 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1024,zip_derived_cl153]) ).

thf(zip_derived_cl0_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl1106,plain,
    coll @ sk__24 @ sk__20 @ sk__26,
    inference('sup-',[status(thm)],[zip_derived_cl1054,zip_derived_cl0]) ).

thf(zip_derived_cl122,plain,
    coll @ sk__25 @ sk__21 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl167_011,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_cl179,plain,
    coll @ sk__22 @ sk__22 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl167]) ).

thf(zip_derived_cl128_012,plain,
    coll @ sk__20 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl1]) ).

thf(zip_derived_cl167_013,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_cl170,plain,
    coll @ sk__22 @ sk__22 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl167]) ).

thf(zip_derived_cl2_014,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_cl204,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__22 )
      | ~ ( coll @ sk__22 @ sk__22 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl2]) ).

thf(zip_derived_cl634,plain,
    coll @ sk__20 @ sk__25 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl179,zip_derived_cl204]) ).

thf(zip_derived_cl0_015,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl640,plain,
    coll @ sk__20 @ sk__22 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl634,zip_derived_cl0]) ).

thf(zip_derived_cl153_016,plain,
    ! [X0: $i] :
      ( ( coll @ sk__24 @ X0 @ sk__20 )
      | ~ ( coll @ sk__20 @ sk__22 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl2]) ).

thf(zip_derived_cl656,plain,
    coll @ sk__24 @ sk__25 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl640,zip_derived_cl153]) ).

thf(zip_derived_cl0_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl691,plain,
    coll @ sk__24 @ sk__20 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl656,zip_derived_cl0]) ).

thf(zip_derived_cl2_018,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_cl747,plain,
    ! [X0: $i] :
      ( ( coll @ sk__25 @ X0 @ sk__24 )
      | ~ ( coll @ sk__24 @ sk__20 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl691,zip_derived_cl2]) ).

thf(zip_derived_cl3526,plain,
    coll @ sk__25 @ sk__26 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl1106,zip_derived_cl747]) ).

thf(zip_derived_cl1_019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl3536,plain,
    coll @ sk__26 @ sk__25 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl3526,zip_derived_cl1]) ).

thf(zip_derived_cl0_020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl3559,plain,
    coll @ sk__26 @ sk__24 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl3536,zip_derived_cl0]) ).

thf(zip_derived_cl3587,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl3559]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO579+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.t943evR3bZ true
% 0.13/0.35  % Computer : n008.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 : Tue Aug 29 21:44:17 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 2.98/1.18  % Solved by fo/fo5.sh.
% 2.98/1.18  % done 2033 iterations in 0.393s
% 2.98/1.18  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.98/1.18  % SZS output start Refutation
% See solution above
% 2.98/1.18  
% 2.98/1.18  
% 2.98/1.18  % Terminating...
% 3.61/1.25  % Runner terminated.
% 3.61/1.26  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------