TSTP Solution File: GEO585+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO585+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.1EA1ir3xH3 true

% Computer : n025.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 23:59:16 EDT 2023

% Result   : Theorem 7.13s 1.62s
% Output   : Refutation 7.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   73 (  24 unt;  11 typ;   0 def)
%            Number of atoms       :  121 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  590 (  27   ~;  25   |;  17   &; 504   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  27   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   6 con; 0-8 aty)
%            Number of variables   :  179 (   0   ^; 179   !;   0   ?; 179   :)

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

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

thf(sk__24_type,type,
    sk__24: $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__26_type,type,
    sk__26: $i ).

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

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

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

thf(cyclic_type,type,
    cyclic: $i > $i > $i > $i > $o ).

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

thf(exemplo6GDDFULL416047,conjecture,
    ! [A: $i,B: $i,C: $i,O: $i,D: $i,U: $i,V: $i,NWPNT1: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( circle @ O @ A @ D @ NWPNT1 )
        & ( perp @ A @ B @ D @ U )
        & ( perp @ A @ D @ B @ U )
        & ( perp @ B @ D @ A @ U )
        & ( perp @ A @ C @ D @ V )
        & ( perp @ A @ D @ C @ V )
        & ( perp @ C @ D @ A @ V ) )
     => ( cyclic @ A @ U @ D @ V ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,O: $i,D: $i,U: $i,V: $i,NWPNT1: $i] :
        ( ( ( circle @ O @ A @ B @ C )
          & ( circle @ O @ A @ D @ NWPNT1 )
          & ( perp @ A @ B @ D @ U )
          & ( perp @ A @ D @ B @ U )
          & ( perp @ B @ D @ A @ U )
          & ( perp @ A @ C @ D @ V )
          & ( perp @ A @ D @ C @ V )
          & ( perp @ C @ D @ A @ V ) )
       => ( cyclic @ A @ U @ D @ V ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL416047]) ).

thf(zip_derived_cl121,plain,
    ~ ( cyclic @ sk__20 @ sk__25 @ sk__24 @ sk__26 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl115,plain,
    perp @ sk__20 @ sk__21 @ sk__24 @ sk__25,
    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_cl134,plain,
    perp @ sk__24 @ sk__25 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl7]) ).

thf(zip_derived_cl115_001,plain,
    perp @ sk__20 @ sk__21 @ sk__24 @ sk__25,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl174,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__24 @ sk__25 @ X1 @ X0 )
      | ( para @ sk__20 @ sk__21 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl8]) ).

thf(zip_derived_cl266,plain,
    para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl174]) ).

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_cl567,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl266,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_cl891,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl18]) ).

thf(ruleD42b,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
        & ( coll @ P @ Q @ B ) )
     => ( cyclic @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( coll @ X2 @ X3 @ X1 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD42b]) ).

thf(zip_derived_cl4816,plain,
    ! [X0: $i] :
      ( ( cyclic @ X0 @ sk__21 @ sk__20 @ sk__20 )
      | ~ ( coll @ sk__20 @ sk__20 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl891,zip_derived_cl42]) ).

thf(zip_derived_cl134_002,plain,
    perp @ sk__24 @ sk__25 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,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_cl146,plain,
    perp @ sk__24 @ sk__25 @ sk__21 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl6]) ).

thf(zip_derived_cl174_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__24 @ sk__25 @ X1 @ X0 )
      | ( para @ sk__20 @ sk__21 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl8]) ).

thf(zip_derived_cl267,plain,
    para @ sk__20 @ sk__21 @ sk__21 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl174]) ).

thf(ruleD5,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( para @ C @ D @ A @ B ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD5]) ).

thf(zip_derived_cl285,plain,
    para @ sk__21 @ sk__20 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl267,zip_derived_cl4]) ).

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_cl288,plain,
    para @ sk__21 @ sk__20 @ sk__21 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl3]) ).

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_cl294,plain,
    coll @ sk__21 @ sk__20 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl288,zip_derived_cl66]) ).

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_cl297,plain,
    coll @ sk__20 @ sk__21 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl294,zip_derived_cl1]) ).

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_cl299,plain,
    coll @ sk__20 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl297,zip_derived_cl0]) ).

thf(zip_derived_cl4826,plain,
    ! [X0: $i] : ( cyclic @ X0 @ sk__21 @ sk__20 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl4816,zip_derived_cl299]) ).

thf(ruleD16,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ B @ A @ C @ D ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD16]) ).

thf(zip_derived_cl4832,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4826,zip_derived_cl15]) ).

thf(ruleD15,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ A @ C @ B @ D ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD15]) ).

thf(zip_derived_cl5399,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ X0 @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4832,zip_derived_cl14]) ).

thf(ruleD14,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cyclic @ A @ B @ C @ D )
     => ( cyclic @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD14]) ).

thf(zip_derived_cl5473,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5399,zip_derived_cl13]) ).

thf(ruleD17,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( cyclic @ A @ B @ C @ D )
        & ( cyclic @ A @ B @ C @ E ) )
     => ( cyclic @ B @ C @ D @ E ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X2 @ X4 )
      | ( cyclic @ X1 @ X2 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD17]) ).

thf(zip_derived_cl5557,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X1 )
      | ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5473,zip_derived_cl16]) ).

thf(zip_derived_cl5473_004,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5399,zip_derived_cl13]) ).

thf(zip_derived_cl5563,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl5557,zip_derived_cl5473]) ).

thf(zip_derived_cl16_005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X2 @ X4 )
      | ( cyclic @ X1 @ X2 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD17]) ).

thf(zip_derived_cl5564,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cyclic @ sk__20 @ sk__20 @ X1 @ X2 )
      | ( cyclic @ sk__20 @ X1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5563,zip_derived_cl16]) ).

thf(zip_derived_cl5563_006,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl5557,zip_derived_cl5473]) ).

thf(zip_derived_cl5570,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl5564,zip_derived_cl5563]) ).

thf(zip_derived_cl5571,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl5570]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO585+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.1EA1ir3xH3 true
% 0.13/0.34  % Computer : n025.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 20:16:40 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
% 0.13/0.34  % 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
% 0.20/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 7.13/1.62  % Solved by fo/fo13.sh.
% 7.13/1.62  % done 2770 iterations in 0.853s
% 7.13/1.62  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.13/1.62  % SZS output start Refutation
% See solution above
% 7.13/1.62  
% 7.13/1.62  
% 7.13/1.62  % Terminating...
% 7.13/1.65  % Runner terminated.
% 7.13/1.66  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------