TSTP Solution File: GEO651+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO651+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.ag3lKF5zbu true

% Computer : n022.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 23:59:37 EDT 2023

% Result   : Theorem 18.73s 3.31s
% Output   : Refutation 18.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  156 (  56 unt;  14 typ;   0 def)
%            Number of atoms       :  275 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   1 avg)
%            Number of connectives : 1294 (  85   ~;  83   |;  28   &;1076   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   9 con; 0-8 aty)
%            Number of variables   :  426 (   0   ^; 426   !;   0   ?; 426   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__28_type,type,
    sk__28: $i ).

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

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

thf(coll_type,type,
    coll: $i > $i > $i > $o ).

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

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

thf(exemplo6GDDFULLmoreE02212,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,MIDPNT1: $i,MIDPNT2: $i,MIDPNT3: $i] :
      ( ( ( coll @ D @ A @ B )
        & ( eqangle @ A @ C @ C @ D @ D @ C @ C @ B )
        & ( midp @ MIDPNT1 @ A @ B )
        & ( perp @ A @ B @ MIDPNT1 @ E )
        & ( midp @ MIDPNT2 @ A @ C )
        & ( perp @ A @ C @ MIDPNT2 @ E )
        & ( midp @ MIDPNT3 @ B @ C )
        & ( perp @ B @ C @ MIDPNT3 @ E )
        & ( perp @ C @ E @ C @ F )
        & ( para @ A @ C @ F @ D ) )
     => ( cong @ C @ F @ D @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,MIDPNT1: $i,MIDPNT2: $i,MIDPNT3: $i] :
        ( ( ( coll @ D @ A @ B )
          & ( eqangle @ A @ C @ C @ D @ D @ C @ C @ B )
          & ( midp @ MIDPNT1 @ A @ B )
          & ( perp @ A @ B @ MIDPNT1 @ E )
          & ( midp @ MIDPNT2 @ A @ C )
          & ( perp @ A @ C @ MIDPNT2 @ E )
          & ( midp @ MIDPNT3 @ B @ C )
          & ( perp @ B @ C @ MIDPNT3 @ E )
          & ( perp @ C @ E @ C @ F )
          & ( para @ A @ C @ F @ D ) )
       => ( cong @ C @ F @ D @ B ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULLmoreE02212]) ).

thf(zip_derived_cl123,plain,
    ~ ( cong @ sk__22 @ sk__25 @ sk__23 @ sk__21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl117,plain,
    midp @ sk__26 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD11,axiom,
    ! [A: $i,B: $i,M: $i] :
      ( ( midp @ M @ B @ A )
     => ( midp @ M @ A @ B ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD11]) ).

thf(zip_derived_cl865,plain,
    midp @ sk__26 @ sk__21 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl10]) ).

thf(zip_derived_cl68_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl910,plain,
    cong @ sk__26 @ sk__21 @ sk__26 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl865,zip_derived_cl68]) ).

thf(zip_derived_cl117_002,plain,
    midp @ sk__26 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl907,plain,
    cong @ sk__26 @ sk__20 @ sk__26 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl68]) ).

thf(ruleD25,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( cong @ A @ B @ C @ D )
        & ( cong @ C @ D @ E @ F ) )
     => ( cong @ A @ B @ E @ F ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X4 @ X5 )
      | ( cong @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD25]) ).

thf(zip_derived_cl1984,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__26 @ sk__21 @ X1 @ X0 )
      | ( cong @ sk__26 @ sk__20 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl907,zip_derived_cl24]) ).

thf(zip_derived_cl4142,plain,
    cong @ sk__26 @ sk__20 @ sk__26 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl910,zip_derived_cl1984]) ).

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_cl118,plain,
    perp @ sk__20 @ sk__21 @ sk__26 @ sk__24,
    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_cl961,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__26 @ sk__24 @ X1 @ X0 )
      | ( para @ sk__20 @ sk__21 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl8]) ).

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(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_cl1155,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(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_cl2406,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1155,zip_derived_cl38]) ).

thf(zip_derived_cl2467,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__26 @ sk__24 @ sk__20 @ sk__21 )
      | ( para @ X1 @ X0 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl961,zip_derived_cl2406]) ).

thf(zip_derived_cl118_004,plain,
    perp @ sk__20 @ sk__21 @ sk__26 @ sk__24,
    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_cl963,plain,
    perp @ sk__26 @ sk__24 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl7]) ).

thf(zip_derived_cl2472,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl2467,zip_derived_cl963]) ).

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_cl2506,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2472,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_cl838,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_cl2609,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2506,zip_derived_cl838]) ).

thf(zip_derived_cl2_005,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_cl2769,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( coll @ X1 @ X1 @ X2 )
      | ( coll @ X0 @ X2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2609,zip_derived_cl2]) ).

thf(zip_derived_cl2609_006,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2506,zip_derived_cl838]) ).

thf(zip_derived_cl2773,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl2769,zip_derived_cl2609]) ).

thf(zip_derived_cl2865,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_cl2773]) ).

thf(zip_derived_cl4825,plain,
    midp @ sk__26 @ sk__20 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl4142,zip_derived_cl2865]) ).

thf(zip_derived_cl2472_007,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl2467,zip_derived_cl963]) ).

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_cl64,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_cl1374,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( midp @ X3 @ X0 @ X0 )
      | ~ ( midp @ X3 @ X2 @ X1 )
      | ~ ( para @ X2 @ X0 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl2515,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X2 @ X0 @ X0 )
      | ~ ( midp @ X2 @ X1 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2472,zip_derived_cl1374]) ).

thf(zip_derived_cl4848,plain,
    ! [X0: $i] : ( midp @ sk__26 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4825,zip_derived_cl2515]) ).

thf(zip_derived_cl68_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl4871,plain,
    ! [X0: $i] : ( cong @ sk__26 @ X0 @ sk__26 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4848,zip_derived_cl68]) ).

thf(ruleD23,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cong @ A @ B @ C @ D )
     => ( cong @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl6367,plain,
    ! [X0: $i] : ( cong @ sk__26 @ X0 @ X0 @ sk__26 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4871,zip_derived_cl22]) ).

thf(ruleD24,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( cong @ A @ B @ C @ D )
     => ( cong @ C @ D @ A @ B ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl7460,plain,
    ! [X0: $i] : ( cong @ X0 @ sk__26 @ sk__26 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6367,zip_derived_cl23]) ).

thf(zip_derived_cl22_009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl9054,plain,
    ! [X0: $i] : ( cong @ X0 @ sk__26 @ X0 @ sk__26 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7460,zip_derived_cl22]) ).

thf(zip_derived_cl2865_010,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_cl2773]) ).

thf(zip_derived_cl11548,plain,
    ! [X0: $i] : ( midp @ X0 @ sk__26 @ sk__26 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9054,zip_derived_cl2865]) ).

thf(zip_derived_cl2515_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X2 @ X0 @ X0 )
      | ~ ( midp @ X2 @ X1 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2472,zip_derived_cl1374]) ).

thf(zip_derived_cl11602,plain,
    ! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11548,zip_derived_cl2515]) ).

thf(zip_derived_cl910_012,plain,
    cong @ sk__26 @ sk__21 @ sk__26 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl865,zip_derived_cl68]) ).

thf(zip_derived_cl22_013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl2038,plain,
    cong @ sk__26 @ sk__21 @ sk__20 @ sk__26,
    inference('s_sup-',[status(thm)],[zip_derived_cl910,zip_derived_cl22]) ).

thf(zip_derived_cl1984_014,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__26 @ sk__21 @ X1 @ X0 )
      | ( cong @ sk__26 @ sk__20 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl907,zip_derived_cl24]) ).

thf(zip_derived_cl4141,plain,
    cong @ sk__26 @ sk__20 @ sk__20 @ sk__26,
    inference('s_sup-',[status(thm)],[zip_derived_cl2038,zip_derived_cl1984]) ).

thf(zip_derived_cl23_015,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl4823,plain,
    cong @ sk__20 @ sk__26 @ sk__26 @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl4141,zip_derived_cl23]) ).

thf(zip_derived_cl22_016,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl6355,plain,
    cong @ sk__20 @ sk__26 @ sk__20 @ sk__26,
    inference('s_sup-',[status(thm)],[zip_derived_cl4823,zip_derived_cl22]) ).

thf(zip_derived_cl2865_017,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_cl2773]) ).

thf(zip_derived_cl7347,plain,
    midp @ sk__20 @ sk__26 @ sk__26,
    inference('s_sup-',[status(thm)],[zip_derived_cl6355,zip_derived_cl2865]) ).

thf(zip_derived_cl2515_018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X2 @ X0 @ X0 )
      | ~ ( midp @ X2 @ X1 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2472,zip_derived_cl1374]) ).

thf(zip_derived_cl7373,plain,
    ! [X0: $i] : ( midp @ sk__20 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7347,zip_derived_cl2515]) ).

thf(zip_derived_cl68_019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl7382,plain,
    ! [X0: $i] : ( cong @ sk__20 @ X0 @ sk__20 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7373,zip_derived_cl68]) ).

thf(ruleD46,axiom,
    ! [A: $i,B: $i,O: $i] :
      ( ( cong @ O @ A @ O @ B )
     => ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( eqangle @ X0 @ X1 @ X1 @ X2 @ X1 @ X2 @ X0 @ X2 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD46]) ).

thf(ruleD74,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 )
        & ( perp @ P @ Q @ U @ V ) )
     => ( perp @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( perp @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD74]) ).

thf(zip_derived_cl1317,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cong @ X1 @ X2 @ X1 @ X0 )
      | ( perp @ X1 @ X2 @ X2 @ X0 )
      | ~ ( perp @ X2 @ X0 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl74]) ).

thf(zip_derived_cl8982,plain,
    ! [X0: $i] :
      ( ( perp @ sk__20 @ X0 @ X0 @ X0 )
      | ~ ( perp @ X0 @ X0 @ sk__20 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7382,zip_derived_cl1317]) ).

thf(zip_derived_cl4848_020,plain,
    ! [X0: $i] : ( midp @ sk__26 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4825,zip_derived_cl2515]) ).

thf(ruleD44,axiom,
    ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
      ( ( ( midp @ E @ A @ B )
        & ( midp @ F @ A @ C ) )
     => ( para @ E @ F @ B @ C ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X3 @ X1 @ X4 )
      | ( para @ X0 @ X3 @ X2 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD44]) ).

thf(zip_derived_cl1188,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( para @ X2 @ X2 @ X0 @ X0 )
      | ~ ( midp @ X2 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl4875,plain,
    ! [X0: $i] : ( para @ sk__26 @ sk__26 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4848,zip_derived_cl1188]) ).

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_cl6444,plain,
    ! [X0: $i] : ( para @ X0 @ X0 @ sk__26 @ sk__26 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4875,zip_derived_cl4]) ).

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_cl7568,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( perp @ sk__26 @ sk__26 @ X2 @ X1 )
      | ( perp @ X0 @ X0 @ X2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6444,zip_derived_cl9]) ).

thf(zip_derived_cl4871_021,plain,
    ! [X0: $i] : ( cong @ sk__26 @ X0 @ sk__26 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4848,zip_derived_cl68]) ).

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_cl6369,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__26 @ X1 @ sk__26 @ X1 )
      | ( perp @ sk__26 @ sk__26 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4871,zip_derived_cl56]) ).

thf(zip_derived_cl4871_022,plain,
    ! [X0: $i] : ( cong @ sk__26 @ X0 @ sk__26 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4848,zip_derived_cl68]) ).

thf(zip_derived_cl6411,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__26 @ sk__26 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl6369,zip_derived_cl4871]) ).

thf(zip_derived_cl7591,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X0 @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl7568,zip_derived_cl6411]) ).

thf(zip_derived_cl9018,plain,
    ! [X0: $i] : ( perp @ sk__20 @ X0 @ X0 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl8982,zip_derived_cl7591]) ).

thf(zip_derived_cl8_023,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_cl9034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( perp @ X0 @ X0 @ X2 @ X1 )
      | ( para @ sk__20 @ X0 @ X2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9018,zip_derived_cl8]) ).

thf(zip_derived_cl7591_024,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X0 @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl7568,zip_derived_cl6411]) ).

thf(zip_derived_cl9045,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( para @ sk__20 @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl9034,zip_derived_cl7591]) ).

thf(zip_derived_cl64_025,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_cl9127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ sk__20 @ X0 @ X1 @ X2 )
      | ~ ( midp @ X3 @ sk__20 @ X1 )
      | ( midp @ X3 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9045,zip_derived_cl64]) ).

thf(zip_derived_cl9045_026,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( para @ sk__20 @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl9034,zip_derived_cl7591]) ).

thf(zip_derived_cl9152,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( midp @ X3 @ sk__20 @ X1 )
      | ( midp @ X3 @ X0 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9127,zip_derived_cl9045]) ).

thf(zip_derived_cl14653,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( midp @ X0 @ X2 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11602,zip_derived_cl9152]) ).

thf(zip_derived_cl14666,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X0 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl14653]) ).

thf(zip_derived_cl22_027,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl14796,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X1 @ X2 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14666,zip_derived_cl22]) ).

thf(zip_derived_cl23_028,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl14818,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X1 @ X0 @ X0 @ X2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14796,zip_derived_cl23]) ).

thf(zip_derived_cl22_029,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl14872,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14818,zip_derived_cl22]) ).

thf(zip_derived_cl114,plain,
    midp @ sk__28 @ sk__21 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68_030,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(zip_derived_cl909,plain,
    cong @ sk__28 @ sk__21 @ sk__28 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl68]) ).

thf(zip_derived_cl22_031,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD23]) ).

thf(zip_derived_cl2022,plain,
    cong @ sk__28 @ sk__21 @ sk__22 @ sk__28,
    inference('s_sup-',[status(thm)],[zip_derived_cl909,zip_derived_cl22]) ).

thf(zip_derived_cl23_032,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD24]) ).

thf(zip_derived_cl3155,plain,
    cong @ sk__22 @ sk__28 @ sk__28 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl2022,zip_derived_cl23]) ).

thf(zip_derived_cl24_033,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X4 @ X5 )
      | ( cong @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD25]) ).

thf(zip_derived_cl3650,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__28 @ sk__21 @ X1 @ X0 )
      | ( cong @ sk__22 @ sk__28 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3155,zip_derived_cl24]) ).

thf(zip_derived_cl14918,plain,
    ! [X0: $i] : ( cong @ sk__22 @ sk__28 @ X0 @ sk__21 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14872,zip_derived_cl3650]) ).

thf(zip_derived_cl14666_034,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cong @ X0 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl14653]) ).

thf(zip_derived_cl24_035,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X2 @ X3 @ X4 @ X5 )
      | ( cong @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD25]) ).

thf(zip_derived_cl14795,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cong @ X1 @ X0 @ X4 @ X3 )
      | ( cong @ X1 @ X2 @ X4 @ X3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14666,zip_derived_cl24]) ).

thf(zip_derived_cl15810,plain,
    ! [X0: $i,X1: $i] : ( cong @ sk__22 @ X1 @ X0 @ sk__21 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14918,zip_derived_cl14795]) ).

thf(zip_derived_cl15852,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl15810]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO651+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ag3lKF5zbu true
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 19:36:38 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.53/0.64  % Total configuration time : 435
% 0.53/0.64  % Estimated wc time : 1092
% 0.53/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 18.73/3.31  % Solved by fo/fo6_bce.sh.
% 18.73/3.31  % BCE start: 124
% 18.73/3.31  % BCE eliminated: 0
% 18.73/3.31  % PE start: 124
% 18.73/3.31  logic: eq
% 18.73/3.31  % PE eliminated: 0
% 18.73/3.31  % done 3303 iterations in 2.611s
% 18.73/3.31  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 18.73/3.31  % SZS output start Refutation
% See solution above
% 18.73/3.32  
% 18.73/3.32  
% 18.73/3.32  % Terminating...
% 19.38/3.36  % Runner terminated.
% 19.38/3.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------