TSTP Solution File: GEO567+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO567+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.e6U56rAuxz true

% Computer : n005.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 23:59:11 EDT 2023

% Result   : Theorem 11.00s 2.16s
% Output   : Refutation 11.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   66 (  22 unt;  11 typ;   0 def)
%            Number of atoms       :  106 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  527 (  26   ~;  24   |;  13   &; 450   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (  10 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   :  178 (   0   ^; 178   !;   0   ?; 178   :)

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

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

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

thf(sk__22_type,type,
    sk__22: $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__23_type,type,
    sk__23: $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(sk__21_type,type,
    sk__21: $i ).

thf(exemplo6GDDFULL214029,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,Q: $i,P: $i] :
      ( ( ( perp @ D @ A @ B @ C )
        & ( coll @ D @ B @ C )
        & ( perp @ Q @ D @ A @ B )
        & ( coll @ Q @ A @ B )
        & ( perp @ P @ D @ A @ C )
        & ( coll @ P @ A @ C ) )
     => ( cyclic @ B @ Q @ P @ C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,Q: $i,P: $i] :
        ( ( ( perp @ D @ A @ B @ C )
          & ( coll @ D @ B @ C )
          & ( perp @ Q @ D @ A @ B )
          & ( coll @ Q @ A @ B )
          & ( perp @ P @ D @ A @ C )
          & ( coll @ P @ A @ C ) )
       => ( cyclic @ B @ Q @ P @ C ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL214029]) ).

thf(zip_derived_cl113,plain,
    ~ ( cyclic @ sk__21 @ sk__24 @ sk__25 @ sk__22 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118,plain,
    perp @ sk__24 @ sk__23 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118_001,plain,
    perp @ sk__24 @ sk__23 @ sk__20 @ 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_cl203,plain,
    perp @ sk__20 @ sk__21 @ sk__24 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,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_cl225,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__24 @ sk__23 @ X1 @ X0 )
      | ( para @ sk__20 @ sk__21 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl8]) ).

thf(zip_derived_cl1697,plain,
    para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl225]) ).

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_cl1701,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_cl1697,zip_derived_cl39]) ).

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_cl2879,plain,
    ! [X0: $i] :
      ( ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 )
      | ~ ( coll @ sk__20 @ sk__20 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1701,zip_derived_cl42]) ).

thf(zip_derived_cl1701_002,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_cl1697,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_cl2874,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_cl1701,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_cl38,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_cl7880,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2874,zip_derived_cl38]) ).

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_cl7903,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7880,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_cl7950,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7903,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_cl8184,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7950,zip_derived_cl0]) ).

thf(zip_derived_cl8555,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl2879,zip_derived_cl8184]) ).

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_cl8912,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ X0 @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8555,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_cl8998,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8912,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_cl9159,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_cl8998,zip_derived_cl16]) ).

thf(zip_derived_cl8998_003,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8912,zip_derived_cl13]) ).

thf(zip_derived_cl9165,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl9159,zip_derived_cl8998]) ).

thf(zip_derived_cl16_004,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_cl9166,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_cl9165,zip_derived_cl16]) ).

thf(zip_derived_cl9165_005,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl9159,zip_derived_cl8998]) ).

thf(zip_derived_cl9172,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl9166,zip_derived_cl9165]) ).

thf(zip_derived_cl16_006,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_cl9173,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ sk__20 @ X2 @ X1 @ X3 )
      | ( cyclic @ X2 @ X1 @ X0 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9172,zip_derived_cl16]) ).

thf(zip_derived_cl9172_007,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl9166,zip_derived_cl9165]) ).

thf(zip_derived_cl9179,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl9173,zip_derived_cl9172]) ).

thf(zip_derived_cl9186,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl9179]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO567+1 : TPTP v8.1.2. Released v7.5.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.e6U56rAuxz true
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 21:01:37 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.00/2.16  % Solved by fo/fo13.sh.
% 11.00/2.16  % done 4114 iterations in 1.387s
% 11.00/2.16  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.00/2.16  % SZS output start Refutation
% See solution above
% 11.00/2.16  
% 11.00/2.16  
% 11.00/2.16  % Terminating...
% 11.33/2.25  % Runner terminated.
% 11.33/2.25  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------