TSTP Solution File: GEO618+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO618+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.Kl2GlXWVbD true

% Computer : n019.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 23:59:26 EDT 2023

% Result   : Theorem 35.64s 5.75s
% Output   : Refutation 35.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  115 (  36 unt;  13 typ;   0 def)
%            Number of atoms       :  208 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives : 1080 (  65   ~;  62   |;  20   &; 909   @)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   6 con; 0-8 aty)
%            Number of variables   :  372 (   0   ^; 372   !;   0   ?; 372   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__21_type,type,
    sk__21: $i ).

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

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

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

thf(midp_type,type,
    midp: $i > $i > $i > $o ).

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__25_type,type,
    sk__25: $i ).

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

thf(sk__22_type,type,
    sk__22: $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(ruleD68,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( midp @ A @ B @ C )
     => ( cong @ A @ B @ A @ C ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(exemplo6GDDFULL618080,conjecture,
    ! [A: $i,B: $i,C: $i,U: $i,O: $i,T: $i] :
      ( ( ( eqangle @ U @ A @ A @ C @ U @ A @ A @ B )
        & ( coll @ U @ B @ C )
        & ( circle @ O @ A @ B @ C )
        & ( perp @ A @ O @ A @ T )
        & ( coll @ T @ B @ C ) )
     => ( cong @ T @ A @ T @ U ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,U: $i,O: $i,T: $i] :
        ( ( ( eqangle @ U @ A @ A @ C @ U @ A @ A @ B )
          & ( coll @ U @ B @ C )
          & ( circle @ O @ A @ B @ C )
          & ( perp @ A @ O @ A @ T )
          & ( coll @ T @ B @ C ) )
       => ( cong @ T @ A @ T @ U ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL618080]) ).

thf(zip_derived_cl101,plain,
    ~ ( cong @ sk__25 @ sk__20 @ sk__25 @ sk__23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1715,plain,
    ~ ( midp @ sk__25 @ sk__20 @ sk__23 ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl101]) ).

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_cl32,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(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_cl35,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_cl1204,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
      | ( cong @ X2 @ X0 @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl35]) ).

thf(zip_derived_cl1205,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1204]) ).

thf(zip_derived_cl4523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X1 @ X0 @ X1 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1205]) ).

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_cl31,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(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_cl1076,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('sup-',[status(thm)],[zip_derived_cl31,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_cl34,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_cl3253,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ~ ( coll @ X1 @ X1 @ X0 )
      | ( cyclic @ X2 @ X0 @ X1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1076,zip_derived_cl34]) ).

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_cl61,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_cl104,plain,
    eqangle @ sk__23 @ sk__20 @ sk__20 @ sk__22 @ sk__23 @ sk__20 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl2827,plain,
    eqangle @ sk__23 @ sk__20 @ sk__23 @ sk__20 @ sk__20 @ sk__22 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl20]) ).

thf(zip_derived_cl30985,plain,
    ( ~ ( para @ sk__20 @ sk__22 @ sk__20 @ sk__21 )
    | ( para @ sk__23 @ sk__20 @ sk__23 @ sk__20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl2827]) ).

thf(zip_derived_cl104_001,plain,
    eqangle @ sk__23 @ sk__20 @ sk__20 @ sk__22 @ sk__23 @ sk__20 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18_002,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_cl2825,plain,
    eqangle @ sk__20 @ sk__22 @ sk__23 @ sk__20 @ sk__20 @ sk__21 @ sk__23 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl104,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_cl30,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_cl30912,plain,
    para @ sk__20 @ sk__22 @ sk__20 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl2825,zip_derived_cl30]) ).

thf(zip_derived_cl30988,plain,
    para @ sk__23 @ sk__20 @ sk__23 @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl30985,zip_derived_cl30912]) ).

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_cl31028,plain,
    para @ sk__23 @ sk__20 @ sk__20 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl30988,zip_derived_cl3]) ).

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_cl31218,plain,
    para @ sk__20 @ sk__23 @ sk__23 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl31028,zip_derived_cl4]) ).

thf(zip_derived_cl3_003,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_cl32197,plain,
    para @ sk__20 @ sk__23 @ sk__20 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl31218,zip_derived_cl3]) ).

thf(zip_derived_cl1076_004,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('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).

thf(zip_derived_cl30_005,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_cl3251,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1076,zip_derived_cl30]) ).

thf(zip_derived_cl39108,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl32197,zip_derived_cl3251]) ).

thf(zip_derived_cl39108_006,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl32197,zip_derived_cl3251]) ).

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

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl39125,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl39108,zip_derived_cl54]) ).

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_cl778,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_cl39170,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl39125,zip_derived_cl778]) ).

thf(zip_derived_cl40252,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl3253,zip_derived_cl39108,zip_derived_cl39170]) ).

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_cl40263,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl40252,zip_derived_cl14]) ).

thf(zip_derived_cl40542,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X1 @ X0 @ X1 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4523,zip_derived_cl40263]) ).

thf(zip_derived_cl40263_007,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl40252,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_cl40545,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl40263,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_cl40575,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl40545,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_cl40616,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X2 @ X1 @ X0 @ X3 )
      | ~ ( cyclic @ X1 @ X2 @ X1 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl40575,zip_derived_cl16]) ).

thf(zip_derived_cl40575_008,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl40545,zip_derived_cl15]) ).

thf(zip_derived_cl40634,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl40616,zip_derived_cl40575]) ).

thf(zip_derived_cl40832,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl40542,zip_derived_cl40634]) ).

thf(ruleD67,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( cong @ A @ B @ A @ C )
        & ( coll @ A @ B @ C ) )
     => ( midp @ A @ B @ C ) ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X1 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD67]) ).

thf(zip_derived_cl39170_009,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl39125,zip_derived_cl778]) ).

thf(zip_derived_cl2_010,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_cl40180,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X2 @ X1 )
      | ~ ( coll @ X1 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39170,zip_derived_cl2]) ).

thf(zip_derived_cl39170_011,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl39125,zip_derived_cl778]) ).

thf(zip_derived_cl40240,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl40180,zip_derived_cl39170]) ).

thf(zip_derived_cl40288,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl40240]) ).

thf(zip_derived_cl40836,plain,
    ! [X0: $i,X1: $i] : ( midp @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl40832,zip_derived_cl40288]) ).

thf(ruleD64,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( para @ A @ C @ B @ D )
        & ( para @ A @ D @ B @ C ) )
     => ( midp @ M @ C @ D ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X0 @ X3 @ X2 @ X1 )
      | ~ ( midp @ X4 @ X0 @ X2 )
      | ( midp @ X4 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD64]) ).

thf(zip_derived_cl40832_012,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl40542,zip_derived_cl40634]) ).

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_cl48,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_cl40840,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X1 @ X1 @ X0 @ X2 )
      | ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl40832,zip_derived_cl48]) ).

thf(zip_derived_cl40832_013,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl40542,zip_derived_cl40634]) ).

thf(zip_derived_cl40860,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl40840,zip_derived_cl40832]) ).

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_cl40948,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl40860,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_cl41109,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( para @ X2 @ X1 @ X4 @ X3 )
      | ~ ( perp @ X0 @ X0 @ X4 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl40948,zip_derived_cl8]) ).

thf(zip_derived_cl40860_014,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl40840,zip_derived_cl40832]) ).

thf(zip_derived_cl41134,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl41109,zip_derived_cl40860]) ).

thf(zip_derived_cl41134_015,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl41109,zip_derived_cl40860]) ).

thf(zip_derived_cl41204,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X4 @ X0 @ X2 )
      | ( midp @ X4 @ X3 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl41134,zip_derived_cl41134]) ).

thf(zip_derived_cl41231,plain,
    ! [X1: $i,X2: $i,X3: $i] : ( midp @ X1 @ X3 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl40836,zip_derived_cl41204]) ).

thf(zip_derived_cl41247,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1715,zip_derived_cl41231]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO618+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Kl2GlXWVbD true
% 0.14/0.35  % Computer : n019.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 21:54:12 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
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 35.64/5.75  % Solved by fo/fo3_bce.sh.
% 35.64/5.75  % BCE start: 107
% 35.64/5.75  % BCE eliminated: 1
% 35.64/5.75  % PE start: 106
% 35.64/5.75  logic: eq
% 35.64/5.75  % PE eliminated: 0
% 35.64/5.75  % done 8424 iterations in 4.999s
% 35.64/5.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 35.64/5.75  % SZS output start Refutation
% See solution above
% 35.64/5.75  
% 35.64/5.75  
% 35.64/5.75  % Terminating...
% 35.64/5.87  % Runner terminated.
% 36.46/5.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------