TSTP Solution File: GEO573+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO573+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.UxjTtiY30M 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 23:59:12 EDT 2023

% Result   : Theorem 28.40s 4.71s
% Output   : Refutation 28.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  116 (  42 unt;  14 typ;   0 def)
%            Number of atoms       :  209 (   0 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives : 1011 (  58   ~;  56   |;  29   &; 846   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   7 con; 0-8 aty)
%            Number of variables   :  341 (   0   ^; 341   !;   0   ?; 341   :)

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

thf(sk__26_type,type,
    sk__26: $i ).

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

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

thf(sk__22_type,type,
    sk__22: $i ).

thf(circle_type,type,
    circle: $i > $i > $i > $i > $o ).

thf(sk__27_type,type,
    sk__27: $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__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(sk__21_type,type,
    sk__21: $i ).

thf(exemplo6GDDFULL214035,conjecture,
    ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,K: $i,H: $i,NWPNT1: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( perp @ D @ C @ A @ B )
        & ( coll @ D @ A @ B )
        & ( perp @ E @ B @ A @ C )
        & ( coll @ E @ A @ C )
        & ( circle @ O @ C @ K @ NWPNT1 )
        & ( coll @ K @ C @ D )
        & ( coll @ H @ C @ D )
        & ( coll @ H @ B @ E ) )
     => ( cong @ A @ K @ A @ H ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,K: $i,H: $i,NWPNT1: $i] :
        ( ( ( circle @ O @ A @ B @ C )
          & ( perp @ D @ C @ A @ B )
          & ( coll @ D @ A @ B )
          & ( perp @ E @ B @ A @ C )
          & ( coll @ E @ A @ C )
          & ( circle @ O @ C @ K @ NWPNT1 )
          & ( coll @ K @ C @ D )
          & ( coll @ H @ C @ D )
          & ( coll @ H @ B @ E ) )
       => ( cong @ A @ K @ A @ H ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL214035]) ).

thf(zip_derived_cl122,plain,
    ~ ( cong @ sk__20 @ sk__26 @ sk__20 @ sk__27 ),
    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,
    perp @ sk__24 @ sk__22 @ 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_cl379,plain,
    perp @ sk__20 @ sk__21 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl7]) ).

thf(zip_derived_cl115_001,plain,
    perp @ sk__24 @ sk__22 @ sk__20 @ sk__21,
    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_cl406,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__24 @ sk__22 @ X1 @ X0 )
      | ~ ( perp @ sk__20 @ sk__21 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl8]) ).

thf(zip_derived_cl3127,plain,
    para @ sk__24 @ sk__22 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl379,zip_derived_cl406]) ).

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_cl3178,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__24 @ sk__22 @ X1 @ X0 @ sk__24 @ sk__22 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3127,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_cl4447,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__24 @ sk__22 @ X1 @ X0 @ sk__24 @ sk__22 ),
    inference('sup-',[status(thm)],[zip_derived_cl3178,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_cl5007,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__24 @ sk__24 @ sk__22 )
      | ( cyclic @ X0 @ sk__22 @ sk__24 @ sk__24 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4447,zip_derived_cl42]) ).

thf(zip_derived_cl119,plain,
    coll @ sk__26 @ sk__22 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl133,plain,
    coll @ sk__22 @ sk__26 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl1]) ).

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_cl176,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_cl186,plain,
    coll @ sk__24 @ sk__24 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl176]) ).

thf(zip_derived_cl5017,plain,
    ! [X0: $i] : ( cyclic @ X0 @ sk__22 @ sk__24 @ sk__24 ),
    inference(demod,[status(thm)],[zip_derived_cl5007,zip_derived_cl186]) ).

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_cl5654,plain,
    ! [X0: $i] : ( cyclic @ sk__22 @ X0 @ sk__24 @ sk__24 ),
    inference('sup-',[status(thm)],[zip_derived_cl5017,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_cl5811,plain,
    ! [X0: $i] : ( cyclic @ sk__22 @ sk__24 @ X0 @ sk__24 ),
    inference('sup-',[status(thm)],[zip_derived_cl5654,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_cl5908,plain,
    ! [X0: $i] : ( cyclic @ sk__22 @ sk__24 @ sk__24 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl5811,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_cl5965,plain,
    ! [X0: $i,X1: $i] :
      ( ( cyclic @ sk__24 @ sk__24 @ X0 @ X1 )
      | ~ ( cyclic @ sk__22 @ sk__24 @ sk__24 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5908,zip_derived_cl16]) ).

thf(zip_derived_cl5908_002,plain,
    ! [X0: $i] : ( cyclic @ sk__22 @ sk__24 @ sk__24 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl5811,zip_derived_cl13]) ).

thf(zip_derived_cl5973,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__24 @ sk__24 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl5965,zip_derived_cl5908]) ).

thf(zip_derived_cl16_003,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_cl6069,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cyclic @ sk__24 @ X1 @ X0 @ X2 )
      | ~ ( cyclic @ sk__24 @ sk__24 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5973,zip_derived_cl16]) ).

thf(zip_derived_cl5973_004,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__24 @ sk__24 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl5965,zip_derived_cl5908]) ).

thf(zip_derived_cl6077,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__24 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl6069,zip_derived_cl5973]) ).

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_cl6165,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X2 @ X1 @ X0 @ X3 )
      | ~ ( cyclic @ sk__24 @ X2 @ X1 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6077,zip_derived_cl16]) ).

thf(zip_derived_cl6077_006,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__24 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl6069,zip_derived_cl5973]) ).

thf(zip_derived_cl6173,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl6165,zip_derived_cl6077]) ).

thf(zip_derived_cl6274,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_cl6173]) ).

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_cl6173_007,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl6165,zip_derived_cl6077]) ).

thf(zip_derived_cl6173_008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl6165,zip_derived_cl6077]) ).

thf(zip_derived_cl6173_009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl6165,zip_derived_cl6077]) ).

thf(zip_derived_cl6275,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_cl6173,zip_derived_cl6173,zip_derived_cl6173]) ).

thf(zip_derived_cl15279,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl6274,zip_derived_cl6275]) ).

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_cl6173_010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl6165,zip_derived_cl6077]) ).

thf(zip_derived_cl6277,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_cl6173]) ).

thf(zip_derived_cl15303,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X0 @ X1 @ X1 @ X2 )
      | ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15279,zip_derived_cl6277]) ).

thf(zip_derived_cl15279_011,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl6274,zip_derived_cl6275]) ).

thf(zip_derived_cl15335,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X0 @ X1 @ X1 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl15303,zip_derived_cl15279]) ).

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_cl18575,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X2 @ X1 @ X2 @ X0 )
      | ~ ( midp @ X1 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15335,zip_derived_cl55]) ).

thf(zip_derived_cl15279_012,plain,
    ! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl6274,zip_derived_cl6275]) ).

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_cl4447_013,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__24 @ sk__22 @ X1 @ X0 @ sk__24 @ sk__22 ),
    inference('sup-',[status(thm)],[zip_derived_cl3178,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_cl5005,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl4447,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_cl5029,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl5005,zip_derived_cl66]) ).

thf(zip_derived_cl176_014,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_cl5050,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl5029,zip_derived_cl176]) ).

thf(zip_derived_cl2_015,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_cl5575,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X2 @ X1 )
      | ~ ( coll @ X1 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5050,zip_derived_cl2]) ).

thf(zip_derived_cl5050_016,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl5029,zip_derived_cl176]) ).

thf(zip_derived_cl5580,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl5575,zip_derived_cl5050]) ).

thf(zip_derived_cl5593,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_cl5580]) ).

thf(zip_derived_cl15298,plain,
    ! [X0: $i,X1: $i] : ( midp @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl15279,zip_derived_cl5593]) ).

thf(zip_derived_cl5005_017,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl4447,zip_derived_cl38]) ).

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_cl5025,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl5005,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_cl5580_018,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl5575,zip_derived_cl5050]) ).

thf(zip_derived_cl5589,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_cl5580]) ).

thf(zip_derived_cl6406,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X1 @ X2 @ X0 )
      | ~ ( midp @ X0 @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5025,zip_derived_cl5589]) ).

thf(zip_derived_cl15361,plain,
    ! [X0: $i,X1: $i] : ( midp @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl15298,zip_derived_cl6406]) ).

thf(zip_derived_cl18783,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X2 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl18575,zip_derived_cl15361]) ).

thf(zip_derived_cl19719,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl18783]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : GEO573+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UxjTtiY30M true
% 0.10/0.31  % Computer : n019.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue Aug 29 21:57:42 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.10/0.32  % Python version: Python 3.6.8
% 0.10/0.32  % Running in FO mode
% 0.17/0.60  % Total configuration time : 435
% 0.17/0.60  % Estimated wc time : 1092
% 0.17/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 28.40/4.71  % Solved by fo/fo5.sh.
% 28.40/4.71  % done 9304 iterations in 3.980s
% 28.40/4.71  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 28.40/4.71  % SZS output start Refutation
% See solution above
% 28.40/4.71  
% 28.40/4.71  
% 28.40/4.71  % Terminating...
% 29.08/4.82  % Runner terminated.
% 29.08/4.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------