TSTP Solution File: GEO603+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO603+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.wTEqiaSopl 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 23:59:22 EDT 2023

% Result   : Theorem 0.56s 1.04s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   44 (  13 unt;  11 typ;   0 def)
%            Number of atoms       :   66 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  343 (  16   ~;  14   |;  10   &; 294   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   8 con; 0-8 aty)
%            Number of variables   :  125 (   0   ^; 125   !;   0   ?; 125   :)

% Comments : 
%------------------------------------------------------------------------------
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(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__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(para_type,type,
    para: $i > $i > $i > $i > $o ).

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

thf(exemplo6GDDFULL618065,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
      ( ( ( circle @ D @ A @ B @ C )
        & ( coll @ E @ A @ B )
        & ( para @ B @ C @ F @ E )
        & ( coll @ F @ A @ C )
        & ( circle @ G @ A @ E @ F ) )
     => ( coll @ A @ G @ D ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
        ( ( ( circle @ D @ A @ B @ C )
          & ( coll @ E @ A @ B )
          & ( para @ B @ C @ F @ E )
          & ( coll @ F @ A @ C )
          & ( circle @ G @ A @ E @ F ) )
       => ( coll @ A @ G @ D ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL618065]) ).

thf(zip_derived_cl113,plain,
    ~ ( coll @ sk__20 @ sk__26 @ sk__23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117,plain,
    para @ sk__21 @ sk__22 @ sk__25 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD4,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( para @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD4]) ).

thf(zip_derived_cl212,plain,
    para @ sk__21 @ sk__22 @ sk__24 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl3]) ).

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_cl39,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(zip_derived_cl906,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__21 @ sk__22 @ X1 @ X0 @ sk__24 @ sk__25 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl39]) ).

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_cl926,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__21 @ sk__22 @ X1 @ X0 @ sk__24 @ sk__25 ),
    inference('sup-',[status(thm)],[zip_derived_cl906,zip_derived_cl18]) ).

thf(ruleD21,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 @ A @ B @ P @ Q @ C @ D @ U @ V ) ) ).

thf(zip_derived_cl20,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 @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD21]) ).

thf(zip_derived_cl1070,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ X1 @ X0 @ sk__21 @ sk__22 @ sk__24 @ sk__25 ),
    inference('sup-',[status(thm)],[zip_derived_cl926,zip_derived_cl20]) ).

thf(ruleD73,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 )
        & ( para @ P @ Q @ U @ V ) )
     => ( para @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( para @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD73]) ).

thf(zip_derived_cl1519,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( para @ sk__21 @ sk__22 @ sk__24 @ sk__25 )
      | ( para @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1070,zip_derived_cl73]) ).

thf(zip_derived_cl212_001,plain,
    para @ sk__21 @ sk__22 @ sk__24 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl3]) ).

thf(zip_derived_cl1550,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl1519,zip_derived_cl212]) ).

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

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl1562,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1550,zip_derived_cl66]) ).

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_cl157,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_cl1568,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl1562,zip_derived_cl157]) ).

thf(zip_derived_cl2_002,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_cl1805,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X2 @ X1 )
      | ~ ( coll @ X1 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1568,zip_derived_cl2]) ).

thf(zip_derived_cl1568_003,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl1562,zip_derived_cl157]) ).

thf(zip_derived_cl1808,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl1805,zip_derived_cl1568]) ).

thf(zip_derived_cl1846,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl1808]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO603+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wTEqiaSopl true
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 21:28:37 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % 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
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.04  % Solved by fo/fo5.sh.
% 0.56/1.04  % done 1292 iterations in 0.262s
% 0.56/1.04  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/1.04  % SZS output start Refutation
% See solution above
% 0.56/1.04  
% 0.56/1.04  
% 0.56/1.04  % Terminating...
% 0.58/1.14  % Runner terminated.
% 0.58/1.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------