TSTP Solution File: GEO578+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO578+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.tpW1Mmg4oc true

% Computer : n003.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 23:59:14 EDT 2023

% Result   : Theorem 9.98s 2.05s
% Output   : Refutation 9.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  110 (  41 unt;  11 typ;   0 def)
%            Number of atoms       :  195 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  977 (  55   ~;  53   |;  21   &; 826   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   5 con; 0-8 aty)
%            Number of variables   :  328 (   0   ^; 328   !;   0   ?; 328   :)

% Comments : 
%------------------------------------------------------------------------------
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(sk__20_type,type,
    sk__20: $i ).

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

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

thf(eqangle_type,type,
    eqangle: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

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__23_type,type,
    sk__23: $i ).

thf(exemplo6GDDFULL214040,conjecture,
    ! [A: $i,B: $i,C: $i,I: $i,E: $i] :
      ( ( ( eqangle @ I @ A @ A @ B @ I @ A @ A @ C )
        & ( eqangle @ I @ B @ B @ C @ I @ B @ B @ A )
        & ( eqangle @ I @ C @ C @ A @ I @ C @ C @ B )
        & ( para @ A @ B @ E @ I )
        & ( coll @ E @ A @ C ) )
     => ( cong @ E @ I @ E @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,I: $i,E: $i] :
        ( ( ( eqangle @ I @ A @ A @ B @ I @ A @ A @ C )
          & ( eqangle @ I @ B @ B @ C @ I @ B @ B @ A )
          & ( eqangle @ I @ C @ C @ A @ I @ C @ C @ B )
          & ( para @ A @ B @ E @ I )
          & ( coll @ E @ A @ C ) )
       => ( cong @ E @ I @ E @ A ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL214040]) ).

thf(zip_derived_cl113,plain,
    ~ ( cong @ sk__24 @ sk__23 @ sk__24 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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(zip_derived_cl115,plain,
    para @ sk__20 @ sk__21 @ sk__24 @ sk__23,
    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_cl137,plain,
    para @ sk__20 @ sk__21 @ sk__23 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,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_cl149,plain,
    para @ sk__23 @ sk__24 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl4]) ).

thf(zip_derived_cl137_001,plain,
    para @ sk__20 @ sk__21 @ sk__23 @ sk__24,
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl3]) ).

thf(ruleD6,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( para @ A @ B @ C @ D )
        & ( para @ C @ D @ E @ F ) )
     => ( para @ A @ B @ E @ F ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X2 @ X3 @ X4 @ X5 )
      | ( para @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD6]) ).

thf(zip_derived_cl161,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( para @ sk__23 @ sk__24 @ X1 @ X0 )
      | ( para @ sk__20 @ sk__21 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl5]) ).

thf(zip_derived_cl304,plain,
    para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl161]) ).

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_cl499,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_cl304,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_cl1513,plain,
    ! [X0: $i] :
      ( ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 )
      | ~ ( coll @ sk__20 @ sk__20 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl42]) ).

thf(zip_derived_cl499_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_cl304,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_cl1508,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_cl499,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_cl2992,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1508,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_cl3015,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2992,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_cl3036,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3015,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_cl3177,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3036,zip_derived_cl0]) ).

thf(zip_derived_cl3300,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl1513,zip_derived_cl3177]) ).

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_cl3363,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ X0 @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3300,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_cl3374,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3363,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_cl3390,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_cl3374,zip_derived_cl16]) ).

thf(zip_derived_cl3374_003,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3363,zip_derived_cl13]) ).

thf(zip_derived_cl3396,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl3390,zip_derived_cl3374]) ).

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_cl3397,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_cl3396,zip_derived_cl16]) ).

thf(zip_derived_cl3396_005,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl3390,zip_derived_cl3374]) ).

thf(zip_derived_cl3403,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl3397,zip_derived_cl3396]) ).

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_cl3406,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_cl3403,zip_derived_cl16]) ).

thf(zip_derived_cl3403_007,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl3397,zip_derived_cl3396]) ).

thf(zip_derived_cl3412,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl3406,zip_derived_cl3403]) ).

thf(zip_derived_cl3413,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_cl3412]) ).

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_cl3412_008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl3406,zip_derived_cl3403]) ).

thf(zip_derived_cl3412_009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl3406,zip_derived_cl3403]) ).

thf(zip_derived_cl3412_010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl3406,zip_derived_cl3403]) ).

thf(zip_derived_cl3414,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_cl3412,zip_derived_cl3412,zip_derived_cl3412]) ).

thf(zip_derived_cl6353,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3413,zip_derived_cl3414]) ).

thf(ruleD57,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( cong @ A @ P @ B @ P )
        & ( cong @ A @ Q @ B @ Q )
        & ( cyclic @ A @ B @ P @ Q ) )
     => ( perp @ P @ A @ A @ Q ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X1 )
      | ~ ( cong @ X0 @ X3 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X2 @ X1 @ X3 )
      | ( perp @ X1 @ X0 @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD57]) ).

thf(zip_derived_cl3412_011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl3406,zip_derived_cl3403]) ).

thf(zip_derived_cl3416,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X1 )
      | ~ ( cong @ X0 @ X3 @ X2 @ X3 )
      | ( perp @ X1 @ X0 @ X0 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl57,zip_derived_cl3412]) ).

thf(zip_derived_cl6973,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cong @ X1 @ X2 @ X1 @ X2 )
      | ( perp @ X0 @ X1 @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6353,zip_derived_cl3416]) ).

thf(zip_derived_cl6353_012,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3413,zip_derived_cl3414]) ).

thf(zip_derived_cl6974,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X0 @ X1 @ X1 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl6973,zip_derived_cl6353]) ).

thf(ruleD55,axiom,
    ! [A: $i,B: $i,M: $i,O: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( perp @ O @ M @ A @ B ) )
     => ( cong @ O @ A @ O @ B ) ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( perp @ X3 @ X0 @ X1 @ X2 )
      | ( cong @ X3 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD55]) ).

thf(zip_derived_cl7780,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X1 @ X1 @ X0 )
      | ( cong @ X2 @ X1 @ X2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6974,zip_derived_cl55]) ).

thf(zip_derived_cl6353_013,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3413,zip_derived_cl3414]) ).

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_cl67,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_cl3177_014,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3036,zip_derived_cl0]) ).

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_cl3301,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( coll @ X1 @ X1 @ X2 )
      | ( coll @ X0 @ X2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3177,zip_derived_cl2]) ).

thf(zip_derived_cl3177_015,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3036,zip_derived_cl0]) ).

thf(zip_derived_cl3315,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl3301,zip_derived_cl3177]) ).

thf(zip_derived_cl3321,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl3315]) ).

thf(zip_derived_cl6372,plain,
    ! [X0: $i,X1: $i] : ( midp @ X1 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6353,zip_derived_cl3321]) ).

thf(zip_derived_cl2992_016,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1508,zip_derived_cl38]) ).

thf(zip_derived_cl3_017,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_cl3011,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2992,zip_derived_cl3]) ).

thf(ruleD45,axiom,
    ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
      ( ( ( midp @ E @ A @ B )
        & ( para @ E @ F @ B @ C )
        & ( coll @ F @ A @ C ) )
     => ( midp @ F @ A @ C ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X3 @ X2 @ X4 )
      | ~ ( coll @ X3 @ X1 @ X4 )
      | ( midp @ X3 @ X1 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD45]) ).

thf(zip_derived_cl3315_018,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl3301,zip_derived_cl3177]) ).

thf(zip_derived_cl3317,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X3 @ X2 @ X4 )
      | ( midp @ X3 @ X1 @ X4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl3315]) ).

thf(zip_derived_cl3496,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X0 @ X2 @ X1 )
      | ( midp @ X1 @ X2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3011,zip_derived_cl3317]) ).

thf(zip_derived_cl6393,plain,
    ! [X0: $i,X1: $i] : ( midp @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6372,zip_derived_cl3496]) ).

thf(zip_derived_cl7826,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X2 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl7780,zip_derived_cl6393]) ).

thf(zip_derived_cl8232,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl7826]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GEO578+1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tpW1Mmg4oc true
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 19:16:26 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.52/0.64  % Total configuration time : 435
% 0.52/0.64  % Estimated wc time : 1092
% 0.52/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73  % /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
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 9.98/2.05  % Solved by fo/fo13.sh.
% 9.98/2.05  % done 4046 iterations in 1.264s
% 9.98/2.05  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 9.98/2.05  % SZS output start Refutation
% See solution above
% 9.98/2.05  
% 9.98/2.05  
% 9.98/2.05  % Terminating...
% 10.47/2.16  % Runner terminated.
% 10.47/2.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------