TSTP Solution File: GEO584+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO584+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.fHKebNp6xG true

% Computer : n008.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 23:59:16 EDT 2023

% Result   : Theorem 43.87s 6.89s
% Output   : Refutation 43.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  132 (  47 unt;  17 typ;   0 def)
%            Number of atoms       :  232 (   0 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives : 1253 (  63   ~;  61   |;  32   &;1073   @)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (  12 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  17 usr;  10 con; 0-8 aty)
%            Number of variables   :  467 (   0   ^; 467   !;   0   ?; 467   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__25_type,type,
    sk__25: $i ).

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

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

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

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

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(sk__21_type,type,
    sk__21: $i ).

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

thf(sk__27_type,type,
    sk__27: $i ).

thf(sk__29_type,type,
    sk__29: $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__28_type,type,
    sk__28: $i ).

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

thf(exemplo6GDDFULL416046,conjecture,
    ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,Q: $i,P: $i,S: $i,R: $i,NWPNT1: $i,NWPNT2: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( circle @ O @ A @ D @ NWPNT1 )
        & ( circle @ O @ A @ E @ NWPNT2 )
        & ( perp @ Q @ E @ B @ C )
        & ( coll @ Q @ B @ C )
        & ( perp @ P @ E @ A @ B )
        & ( coll @ P @ A @ B )
        & ( perp @ S @ E @ A @ D )
        & ( coll @ S @ A @ D )
        & ( perp @ R @ E @ C @ D )
        & ( coll @ R @ C @ D ) )
     => ( eqangle @ E @ P @ P @ S @ E @ Q @ Q @ R ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,Q: $i,P: $i,S: $i,R: $i,NWPNT1: $i,NWPNT2: $i] :
        ( ( ( circle @ O @ A @ B @ C )
          & ( circle @ O @ A @ D @ NWPNT1 )
          & ( circle @ O @ A @ E @ NWPNT2 )
          & ( perp @ Q @ E @ B @ C )
          & ( coll @ Q @ B @ C )
          & ( perp @ P @ E @ A @ B )
          & ( coll @ P @ A @ B )
          & ( perp @ S @ E @ A @ D )
          & ( coll @ S @ A @ D )
          & ( perp @ R @ E @ C @ D )
          & ( coll @ R @ C @ D ) )
       => ( eqangle @ E @ P @ P @ S @ E @ Q @ Q @ R ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL416046]) ).

thf(zip_derived_cl124,plain,
    ~ ( eqangle @ sk__25 @ sk__27 @ sk__27 @ sk__28 @ sk__25 @ sk__26 @ sk__26 @ sk__29 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl114,plain,
    circle @ sk__23 @ sk__20 @ sk__21 @ sk__22,
    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_cl118,plain,
    perp @ sk__27 @ sk__25 @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118_001,plain,
    perp @ sk__27 @ sk__25 @ 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_cl207,plain,
    perp @ sk__20 @ sk__21 @ sk__27 @ sk__25,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,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_cl231,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__27 @ sk__25 @ X1 @ X0 )
      | ( para @ sk__20 @ sk__21 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl8]) ).

thf(zip_derived_cl2145,plain,
    para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl231]) ).

thf(zip_derived_cl39_002,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_cl2250,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_cl2145,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_cl13355,plain,
    ! [X0: $i] :
      ( ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 )
      | ~ ( coll @ sk__20 @ sk__20 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2250,zip_derived_cl42]) ).

thf(zip_derived_cl2250_003,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_cl2145,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_cl13350,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_cl2250,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_cl17467,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13350,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_cl17490,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17467,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_cl17572,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17490,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_cl18316,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17572,zip_derived_cl0]) ).

thf(zip_derived_cl19410,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl13355,zip_derived_cl18316]) ).

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_cl20281,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ X0 @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19410,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_cl20360,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20281,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_cl20489,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_cl20360,zip_derived_cl16]) ).

thf(zip_derived_cl20360_004,plain,
    ! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20281,zip_derived_cl13]) ).

thf(zip_derived_cl20495,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl20489,zip_derived_cl20360]) ).

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_cl20496,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_cl20495,zip_derived_cl16]) ).

thf(zip_derived_cl20495_006,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl20489,zip_derived_cl20360]) ).

thf(zip_derived_cl20502,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl20496,zip_derived_cl20495]) ).

thf(zip_derived_cl16_007,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_cl20503,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_cl20502,zip_derived_cl16]) ).

thf(zip_derived_cl20502_008,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl20496,zip_derived_cl20495]) ).

thf(zip_derived_cl20509,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl20503,zip_derived_cl20502]) ).

thf(zip_derived_cl20510,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_cl20509]) ).

thf(ruleD51,axiom,
    ! [A: $i,B: $i,C: $i,O: $i,M: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( coll @ M @ B @ C )
        & ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) )
     => ( midp @ M @ B @ C ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
      | ~ ( coll @ X4 @ X2 @ X3 )
      | ~ ( eqangle @ X1 @ X2 @ X1 @ X3 @ X0 @ X2 @ X0 @ X4 )
      | ( midp @ X4 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD51]) ).

thf(zip_derived_cl18316_009,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17572,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_cl19415,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( coll @ X1 @ X1 @ X2 )
      | ( coll @ X0 @ X2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18316,zip_derived_cl2]) ).

thf(zip_derived_cl18316_010,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17572,zip_derived_cl0]) ).

thf(zip_derived_cl19774,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl19415,zip_derived_cl18316]) ).

thf(zip_derived_cl19777,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X1 @ X2 @ X1 @ X3 @ X0 @ X2 @ X0 @ X4 )
      | ( midp @ X4 @ X2 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl19774]) ).

thf(zip_derived_cl24316,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( circle @ X1 @ X3 @ X2 @ X0 )
      | ( midp @ X0 @ X2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20510,zip_derived_cl19777]) ).

thf(zip_derived_cl24832,plain,
    midp @ sk__22 @ sk__21 @ sk__22,
    inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl24316]) ).

thf(zip_derived_cl17467_011,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13350,zip_derived_cl38]) ).

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_cl19774_012,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl19415,zip_derived_cl18316]) ).

thf(zip_derived_cl19776,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_cl19774]) ).

thf(zip_derived_cl20884,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X1 @ X2 @ X1 )
      | ( midp @ X0 @ X2 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17467,zip_derived_cl19776]) ).

thf(zip_derived_cl24844,plain,
    ! [X0: $i] : ( midp @ X0 @ sk__21 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24832,zip_derived_cl20884]) ).

thf(zip_derived_cl17467_013,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13350,zip_derived_cl38]) ).

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_cl17484,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X1 )
      | ( midp @ X2 @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17467,zip_derived_cl64]) ).

thf(zip_derived_cl24870,plain,
    ! [X0: $i] : ( midp @ sk__21 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24844,zip_derived_cl17484]) ).

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_cl24981,plain,
    ! [X0: $i] : ( cong @ sk__21 @ X0 @ sk__21 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24870,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_cl28691,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__21 @ X1 @ sk__21 @ X1 )
      | ( perp @ sk__21 @ sk__21 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24981,zip_derived_cl56]) ).

thf(zip_derived_cl24981_014,plain,
    ! [X0: $i] : ( cong @ sk__21 @ X0 @ sk__21 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24870,zip_derived_cl68]) ).

thf(zip_derived_cl28692,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__21 @ sk__21 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl28691,zip_derived_cl24981]) ).

thf(zip_derived_cl7_015,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_cl28697,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ sk__21 @ sk__21 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28692,zip_derived_cl7]) ).

thf(zip_derived_cl8_016,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_cl28710,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( perp @ sk__21 @ sk__21 @ X3 @ X2 )
      | ( para @ X1 @ X0 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28697,zip_derived_cl8]) ).

thf(zip_derived_cl28692_017,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__21 @ sk__21 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl28691,zip_derived_cl24981]) ).

thf(zip_derived_cl28773,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl28710,zip_derived_cl28692]) ).

thf(zip_derived_cl28815,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl28773]) ).

thf(zip_derived_cl18_018,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_cl33842,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28815,zip_derived_cl18]) ).

thf(ruleD18,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ B @ A @ C @ D @ P @ Q @ U @ V ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD18]) ).

thf(zip_derived_cl33956,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X2 @ X3 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33842,zip_derived_cl17]) ).

thf(zip_derived_cl18_019,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_cl34149,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X5 @ X4 @ X2 @ X3 @ X1 @ X0 @ X3 @ X2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33956,zip_derived_cl18]) ).

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_cl34542,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X5 @ X4 @ X3 @ X2 @ X0 @ X1 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl34149,zip_derived_cl20]) ).

thf(ruleD22,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
      ( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
        & ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
     => ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 )
      | ( eqangle @ X0 @ X1 @ X2 @ X3 @ X8 @ X9 @ X10 @ X11 ) ),
    inference(cnf,[status(esa)],[ruleD22]) ).

thf(zip_derived_cl35060,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( eqangle @ X0 @ X1 @ X1 @ X0 @ X9 @ X8 @ X7 @ X6 )
      | ( eqangle @ X5 @ X4 @ X3 @ X2 @ X9 @ X8 @ X7 @ X6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl34542,zip_derived_cl21]) ).

thf(zip_derived_cl33956_020,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X2 @ X3 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33842,zip_derived_cl17]) ).

thf(zip_derived_cl20_021,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_cl34151,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X2 @ X3 @ X3 @ X2 @ X5 @ X4 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33956,zip_derived_cl20]) ).

thf(zip_derived_cl35070,plain,
    ! [X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : ( eqangle @ X5 @ X4 @ X3 @ X2 @ X9 @ X8 @ X7 @ X6 ),
    inference(demod,[status(thm)],[zip_derived_cl35060,zip_derived_cl34151]) ).

thf(zip_derived_cl35754,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl35070]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO584+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.fHKebNp6xG true
% 0.12/0.34  % Computer : n008.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 20:24:47 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 43.87/6.89  % Solved by fo/fo13.sh.
% 43.87/6.89  % done 16855 iterations in 6.118s
% 43.87/6.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 43.87/6.89  % SZS output start Refutation
% See solution above
% 43.87/6.89  
% 43.87/6.89  
% 43.87/6.89  % Terminating...
% 44.18/6.96  % Runner terminated.
% 44.18/6.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------