TSTP Solution File: GEO660+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO660+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.aJF10Z7dcf true

% Computer : n006.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 23:59:40 EDT 2023

% Result   : Theorem 41.59s 6.61s
% Output   : Refutation 41.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  109 (  30 unt;  11 typ;   0 def)
%            Number of atoms       :  204 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 1106 (  61   ~;  58   |;  25   &; 939   @)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (  12 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   :  394 (   0   ^; 394   !;   0   ?; 394   :)

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

thf(cong_type,type,
    cong: $i > $i > $i > $i > $o ).

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

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

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

thf(exemplo7Book00EE02E02319,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
      ( ( ( perp @ C @ A @ C @ B )
        & ( perp @ D @ C @ A @ B )
        & ( coll @ D @ A @ B )
        & ( coll @ E @ C @ D )
        & ( coll @ F @ A @ B )
        & ( eqangle @ B @ A @ A @ E @ E @ A @ A @ C )
        & ( eqangle @ D @ C @ C @ F @ F @ C @ C @ B )
        & ( coll @ G @ B @ C )
        & ( coll @ G @ A @ E ) )
     => ( para @ E @ F @ C @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
        ( ( ( perp @ C @ A @ C @ B )
          & ( perp @ D @ C @ A @ B )
          & ( coll @ D @ A @ B )
          & ( coll @ E @ C @ D )
          & ( coll @ F @ A @ B )
          & ( eqangle @ B @ A @ A @ E @ E @ A @ A @ C )
          & ( eqangle @ D @ C @ C @ F @ F @ C @ C @ B )
          & ( coll @ G @ B @ C )
          & ( coll @ G @ A @ E ) )
       => ( para @ E @ F @ C @ B ) ),
    inference('cnf.neg',[status(esa)],[exemplo7Book00EE02E02319]) ).

thf(zip_derived_cl115,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_cl1052,plain,
    perp @ sk__22 @ sk__21 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,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_cl1907,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__22 @ sk__20 @ X1 @ X0 )
      | ( para @ sk__22 @ sk__21 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1052,zip_derived_cl8]) ).

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_cl3624,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__22 @ sk__20 @ X1 @ X0 )
      | ( para @ X1 @ X0 @ sk__22 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1907,zip_derived_cl4]) ).

thf(zip_derived_cl122,plain,
    ~ ( para @ sk__24 @ sk__25 @ sk__22 @ sk__21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4033,plain,
    ~ ( perp @ sk__22 @ sk__20 @ sk__24 @ sk__25 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3624,zip_derived_cl122]) ).

thf(ruleD41,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( cyclic @ A @ B @ P @ Q )
     => ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 )
      | ~ ( cyclic @ X1 @ X2 @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD41]) ).

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(ruleD18,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 @ B @ A @ C @ D @ P @ Q @ U @ V ) ) ).

thf(zip_derived_cl17,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 @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD18]) ).

thf(zip_derived_cl1194,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X4 @ X5 @ X1 @ X0 @ X3 @ X2 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl17]) ).

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_cl1205,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X4 @ X5 @ X3 @ X2 )
      | ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1194,zip_derived_cl18]) ).

thf(ruleD20,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 @ P @ Q @ U @ V @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl19,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 @ X4 @ X5 @ X6 @ X7 @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD20]) ).

thf(zip_derived_cl1421,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X4 @ X5 @ X1 @ X0 )
      | ( eqangle @ X3 @ X2 @ X1 @ X0 @ X3 @ X2 @ X5 @ X4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1205,zip_derived_cl19]) ).

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_cl3461,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X0 @ X1 @ X1 @ X0 )
      | ( cyclic @ X2 @ X0 @ X1 @ X1 )
      | ~ ( coll @ X1 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1421,zip_derived_cl42]) ).

thf(zip_derived_cl115_001,plain,
    perp @ sk__22 @ sk__20 @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_002,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_cl1050,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__22 @ sk__21 @ X1 @ X0 )
      | ( para @ sk__22 @ sk__20 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl8]) ).

thf(zip_derived_cl39_003,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_cl18_004,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_cl1195,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('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl18]) ).

thf(zip_derived_cl17_005,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 @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD18]) ).

thf(zip_derived_cl1247,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X1 @ X0 )
      | ( eqangle @ X2 @ X3 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1195,zip_derived_cl17]) ).

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_cl2037,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ( para @ X2 @ X3 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1247,zip_derived_cl38]) ).

thf(zip_derived_cl2795,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__22 @ sk__21 @ sk__22 @ sk__20 )
      | ( para @ X0 @ X1 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1050,zip_derived_cl2037]) ).

thf(zip_derived_cl1052_006,plain,
    perp @ sk__22 @ sk__21 @ sk__22 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl7]) ).

thf(zip_derived_cl2821,plain,
    ! [X0: $i,X1: $i] : ( para @ X0 @ X1 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl2795,zip_derived_cl1052]) ).

thf(zip_derived_cl2821_007,plain,
    ! [X0: $i,X1: $i] : ( para @ X0 @ X1 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl2795,zip_derived_cl1052]) ).

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_cl2825,plain,
    ! [X0: $i,X1: $i] : ( para @ X0 @ X1 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2821,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_cl2953,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2825,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_cl846,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_cl3042,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2953,zip_derived_cl846]) ).

thf(zip_derived_cl3478,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl3461,zip_derived_cl2821,zip_derived_cl3042]) ).

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_cl4057,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3478,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_cl4061,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4057,zip_derived_cl13]) ).

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_cl4106,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4061,zip_derived_cl15]) ).

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_cl4133,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ X1 @ X2 @ X1 @ X3 )
      | ( cyclic @ X2 @ X1 @ X0 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4106,zip_derived_cl16]) ).

thf(zip_derived_cl4106_008,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4061,zip_derived_cl15]) ).

thf(zip_derived_cl4138,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl4133,zip_derived_cl4106]) ).

thf(zip_derived_cl4219,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl4138]) ).

thf(ruleD43,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( ( cyclic @ A @ B @ C @ P )
        & ( cyclic @ A @ B @ C @ Q )
        & ( cyclic @ A @ B @ C @ R )
        & ( eqangle @ C @ A @ C @ B @ R @ P @ R @ Q ) )
     => ( cong @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X2 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X5 )
      | ~ ( eqangle @ X4 @ X0 @ X4 @ X1 @ X5 @ X2 @ X5 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD43]) ).

thf(zip_derived_cl4138_009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl4133,zip_derived_cl4106]) ).

thf(zip_derived_cl4138_010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl4133,zip_derived_cl4106]) ).

thf(zip_derived_cl4138_011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl4133,zip_derived_cl4106]) ).

thf(zip_derived_cl4220,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X4 @ X0 @ X4 @ X1 @ X5 @ X2 @ X5 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl4138,zip_derived_cl4138,zip_derived_cl4138]) ).

thf(zip_derived_cl12147,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4219,zip_derived_cl4220]) ).

thf(ruleD56,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( cong @ A @ P @ B @ P )
        & ( cong @ A @ Q @ B @ Q ) )
     => ( perp @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X1 )
      | ~ ( cong @ X0 @ X3 @ X2 @ X3 )
      | ( perp @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD56]) ).

thf(zip_derived_cl12236,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cong @ X1 @ X2 @ X1 @ X2 )
      | ( perp @ X1 @ X1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12147,zip_derived_cl56]) ).

thf(zip_derived_cl12147_012,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4219,zip_derived_cl4220]) ).

thf(zip_derived_cl12245,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl12236,zip_derived_cl12147]) ).

thf(zip_derived_cl7_013,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_cl12444,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12245,zip_derived_cl7]) ).

thf(zip_derived_cl115_014,plain,
    perp @ sk__22 @ sk__20 @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl1051,plain,
    perp @ sk__22 @ sk__20 @ sk__21 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl6]) ).

thf(zip_derived_cl8_015,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_cl1903,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__21 @ sk__22 @ X1 @ X0 )
      | ( para @ sk__22 @ sk__20 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1051,zip_derived_cl8]) ).

thf(ruleD10,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( para @ A @ B @ C @ D )
        & ( perp @ C @ D @ E @ F ) )
     => ( perp @ A @ B @ E @ F ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X2 @ X3 @ X4 @ X5 )
      | ( perp @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD10]) ).

thf(zip_derived_cl3577,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( perp @ sk__21 @ sk__22 @ X1 @ X0 )
      | ~ ( perp @ X1 @ X0 @ X3 @ X2 )
      | ( perp @ sk__22 @ sk__20 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1903,zip_derived_cl9]) ).

thf(zip_derived_cl13019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( perp @ X0 @ X0 @ X2 @ X1 )
      | ( perp @ sk__22 @ sk__20 @ X2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12444,zip_derived_cl3577]) ).

thf(zip_derived_cl12245_016,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl12236,zip_derived_cl12147]) ).

thf(zip_derived_cl13211,plain,
    ! [X1: $i,X2: $i] : ( perp @ sk__22 @ sk__20 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl13019,zip_derived_cl12245]) ).

thf(zip_derived_cl14012,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl4033,zip_derived_cl13211]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO660+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aJF10Z7dcf true
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 20:25:51 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 1.23/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.23/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.23/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.23/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.38/0.85  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 41.59/6.61  % Solved by fo/fo6_bce.sh.
% 41.59/6.61  % BCE start: 123
% 41.59/6.61  % BCE eliminated: 0
% 41.59/6.61  % PE start: 123
% 41.59/6.61  logic: eq
% 41.59/6.61  % PE eliminated: 0
% 41.59/6.61  % done 3294 iterations in 5.784s
% 41.59/6.61  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 41.59/6.61  % SZS output start Refutation
% See solution above
% 41.59/6.61  
% 41.59/6.61  
% 41.59/6.61  % Terminating...
% 42.40/6.73  % Runner terminated.
% 42.40/6.75  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------