TSTP Solution File: GEO581+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO581+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.hhvEU9PU8W true

% Computer : n029.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 23:59:15 EDT 2023

% Result   : Theorem 102.06s 15.36s
% Output   : Refutation 102.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  134 (  44 unt;  13 typ;   0 def)
%            Number of atoms       :  238 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives : 1206 (  77   ~;  75   |;  19   &;1012   @)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   7 con; 0-8 aty)
%            Number of variables   :  408 (   0   ^; 408   !;   0   ?; 408   :)

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

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

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

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

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

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

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

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

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

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

thf(cyclic_type,type,
    cyclic: $i > $i > $i > $i > $o ).

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

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

thf(exemplo6GDDFULL416043,conjecture,
    ! [A: $i,B: $i,C: $i,F: $i,E: $i,P: $i] :
      ( ( ( perp @ C @ A @ C @ B )
        & ( eqangle @ B @ A @ A @ E @ A @ E @ E @ F )
        & ( cong @ A @ E @ E @ F )
        & ( coll @ P @ B @ E )
        & ( coll @ P @ A @ F ) )
     => ( eqangle @ A @ C @ C @ P @ P @ C @ C @ B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,F: $i,E: $i,P: $i] :
        ( ( ( perp @ C @ A @ C @ B )
          & ( eqangle @ B @ A @ A @ E @ A @ E @ E @ F )
          & ( cong @ A @ E @ E @ F )
          & ( coll @ P @ B @ E )
          & ( coll @ P @ A @ F ) )
       => ( eqangle @ A @ C @ C @ P @ P @ C @ C @ B ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL416043]) ).

thf(zip_derived_cl101,plain,
    ~ ( eqangle @ sk__20 @ sk__22 @ sk__22 @ sk__25 @ sk__25 @ sk__22 @ sk__22 @ sk__21 ),
    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_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X0 @ X1 @ X2 @ X3 )
      | ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD40]) ).

thf(ruleD19,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X2 @ X3 @ X0 @ X1 @ X6 @ X7 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD19]) ).

thf(zip_derived_cl1067,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).

thf(zip_derived_cl31_001,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(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_cl1065,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X5 @ X4 @ X1 @ X0 @ X9 @ X8 @ X7 @ X6 )
      | ~ ( eqangle @ X3 @ X2 @ X1 @ X0 @ X9 @ X8 @ X7 @ X6 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl21]) ).

thf(zip_derived_cl3970,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( para @ X5 @ X4 @ X1 @ X0 )
      | ( eqangle @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 )
      | ~ ( para @ X7 @ X6 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1067,zip_derived_cl1065]) ).

thf(zip_derived_cl1067_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).

thf(ruleD42b,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
        & ( coll @ P @ Q @ B ) )
     => ( cyclic @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( coll @ X2 @ X3 @ X1 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD42b]) ).

thf(zip_derived_cl3954,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ~ ( coll @ X1 @ X1 @ X0 )
      | ( cyclic @ X2 @ X0 @ X1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1067,zip_derived_cl34]) ).

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

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

thf(zip_derived_cl106,plain,
    cong @ sk__20 @ sk__24 @ sk__24 @ sk__23,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl845,plain,
    cong @ sk__24 @ sk__23 @ sk__20 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl106,zip_derived_cl23]) ).

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_cl855,plain,
    cong @ sk__24 @ sk__23 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl845,zip_derived_cl22]) ).

thf(zip_derived_cl23_003,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_cl934,plain,
    cong @ sk__24 @ sk__20 @ sk__24 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl855,zip_derived_cl23]) ).

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_cl959,plain,
    ! [X0: $i,X1: $i] :
      ( ( cong @ sk__24 @ sk__20 @ X1 @ X0 )
      | ~ ( cong @ sk__24 @ sk__23 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl934,zip_derived_cl24]) ).

thf(zip_derived_cl855_004,plain,
    cong @ sk__24 @ sk__23 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl845,zip_derived_cl22]) ).

thf(zip_derived_cl3763,plain,
    cong @ sk__24 @ sk__20 @ sk__24 @ sk__20,
    inference('sup+',[status(thm)],[zip_derived_cl959,zip_derived_cl855]) ).

thf(zip_derived_cl5346,plain,
    ( ~ ( coll @ sk__24 @ sk__20 @ sk__20 )
    | ( midp @ sk__24 @ sk__20 @ sk__20 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl3763]) ).

thf(zip_derived_cl102,plain,
    coll @ sk__25 @ sk__20 @ sk__23,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl744,plain,
    coll @ sk__25 @ sk__23 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl102,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_cl766,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__25 )
      | ~ ( coll @ sk__25 @ sk__23 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl744,zip_derived_cl2]) ).

thf(zip_derived_cl744_005,plain,
    coll @ sk__25 @ sk__23 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl0]) ).

thf(zip_derived_cl870,plain,
    coll @ sk__20 @ sk__20 @ sk__25,
    inference('sup+',[status(thm)],[zip_derived_cl766,zip_derived_cl744]) ).

thf(zip_derived_cl2_006,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_cl768,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_cl979,plain,
    coll @ sk__25 @ sk__25 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl870,zip_derived_cl768]) ).

thf(zip_derived_cl2_007,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_cl1016,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__25 )
      | ~ ( coll @ sk__25 @ sk__25 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl979,zip_derived_cl2]) ).

thf(zip_derived_cl103,plain,
    coll @ sk__25 @ sk__21 @ sk__24,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl745,plain,
    coll @ sk__25 @ sk__24 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl0]) ).

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_cl754,plain,
    coll @ sk__24 @ sk__25 @ sk__21,
    inference('sup-',[status(thm)],[zip_derived_cl745,zip_derived_cl1]) ).

thf(zip_derived_cl0_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl771,plain,
    coll @ sk__24 @ sk__21 @ sk__25,
    inference('sup-',[status(thm)],[zip_derived_cl754,zip_derived_cl0]) ).

thf(zip_derived_cl768_010,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_cl1002,plain,
    coll @ sk__25 @ sk__25 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl771,zip_derived_cl768]) ).

thf(zip_derived_cl1607,plain,
    coll @ sk__20 @ sk__24 @ sk__25,
    inference('sup+',[status(thm)],[zip_derived_cl1016,zip_derived_cl1002]) ).

thf(zip_derived_cl0_011,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl1643,plain,
    coll @ sk__20 @ sk__25 @ sk__24,
    inference('sup-',[status(thm)],[zip_derived_cl1607,zip_derived_cl0]) ).

thf(zip_derived_cl870_012,plain,
    coll @ sk__20 @ sk__20 @ sk__25,
    inference('sup+',[status(thm)],[zip_derived_cl766,zip_derived_cl744]) ).

thf(zip_derived_cl0_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl875,plain,
    coll @ sk__20 @ sk__25 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl870,zip_derived_cl0]) ).

thf(zip_derived_cl2_014,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_cl877,plain,
    ! [X0: $i] :
      ( ( coll @ sk__20 @ X0 @ sk__20 )
      | ~ ( coll @ sk__20 @ sk__25 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl875,zip_derived_cl2]) ).

thf(zip_derived_cl1672,plain,
    coll @ sk__20 @ sk__24 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1643,zip_derived_cl877]) ).

thf(zip_derived_cl1_015,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl1714,plain,
    coll @ sk__24 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1672,zip_derived_cl1]) ).

thf(zip_derived_cl5350,plain,
    midp @ sk__24 @ sk__20 @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl5346,zip_derived_cl1714]) ).

thf(ruleD63,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
      ( ( ( midp @ M @ A @ B )
        & ( midp @ M @ C @ D ) )
     => ( para @ A @ C @ B @ D ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( midp @ X4 @ X0 @ X2 )
      | ~ ( midp @ X4 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD63]) ).

thf(zip_derived_cl1422,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X0 )
      | ( para @ X1 @ X1 @ X0 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl7777,plain,
    para @ sk__20 @ sk__20 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl5350,zip_derived_cl1422]) ).

thf(zip_derived_cl1067_016,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).

thf(ruleD39,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
      ( ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q )
     => ( para @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[ruleD39]) ).

thf(zip_derived_cl3952,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ X1 @ X0 @ X1 @ X0 )
      | ( para @ X3 @ X2 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1067,zip_derived_cl30]) ).

thf(zip_derived_cl57191,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl7777,zip_derived_cl3952]) ).

thf(zip_derived_cl57191_017,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl7777,zip_derived_cl3952]) ).

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

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

thf(zip_derived_cl57211,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl57191,zip_derived_cl54]) ).

thf(zip_derived_cl768_018,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_cl57279,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl57211,zip_derived_cl768]) ).

thf(zip_derived_cl58589,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl3954,zip_derived_cl57191,zip_derived_cl57279]) ).

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_cl58600,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl58589,zip_derived_cl14]) ).

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_cl59338,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X0 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl58600,zip_derived_cl15]) ).

thf(zip_derived_cl31_019,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(ruleD20,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 @ P @ Q @ U @ V @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl19,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 @ X4 @ X5 @ X6 @ X7 @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD20]) ).

thf(zip_derived_cl1068,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X3 @ X2 @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl19]) ).

thf(ruleD43,axiom,
    ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
      ( ( ( cyclic @ A @ B @ C @ P )
        & ( cyclic @ A @ B @ C @ Q )
        & ( cyclic @ A @ B @ C @ R )
        & ( eqangle @ C @ A @ C @ B @ R @ P @ R @ Q ) )
     => ( cong @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( cong @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X2 )
      | ~ ( cyclic @ X0 @ X1 @ X4 @ X5 )
      | ~ ( eqangle @ X4 @ X0 @ X4 @ X1 @ X5 @ X2 @ X5 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD43]) ).

thf(zip_derived_cl3997,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ X1 @ X2 @ X1 @ X3 )
      | ~ ( cyclic @ X3 @ X0 @ X1 @ X1 )
      | ~ ( cyclic @ X3 @ X0 @ X1 @ X2 )
      | ~ ( cyclic @ X3 @ X0 @ X1 @ X0 )
      | ( cong @ X3 @ X0 @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1068,zip_derived_cl35]) ).

thf(zip_derived_cl58589_020,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl3954,zip_derived_cl57191,zip_derived_cl57279]) ).

thf(zip_derived_cl58600_021,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl58589,zip_derived_cl14]) ).

thf(zip_derived_cl59592,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( para @ X1 @ X2 @ X1 @ X3 )
      | ~ ( cyclic @ X3 @ X0 @ X1 @ X2 )
      | ( cong @ X3 @ X0 @ X2 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3997,zip_derived_cl58589,zip_derived_cl58600]) ).

thf(zip_derived_cl59614,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X2 @ X0 @ X2 )
      | ~ ( para @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59338,zip_derived_cl59592]) ).

thf(zip_derived_cl57191_022,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl7777,zip_derived_cl3952]) ).

thf(zip_derived_cl59627,plain,
    ! [X0: $i,X2: $i] : ( cong @ X0 @ X2 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl59614,zip_derived_cl57191]) ).

thf(ruleD56,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( cong @ A @ P @ B @ P )
        & ( cong @ A @ Q @ B @ Q ) )
     => ( perp @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cong @ X0 @ X1 @ X2 @ X1 )
      | ~ ( cong @ X0 @ X3 @ X2 @ X3 )
      | ( perp @ X0 @ X2 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[ruleD56]) ).

thf(zip_derived_cl59641,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X1 @ X1 @ X0 @ X2 )
      | ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59627,zip_derived_cl48]) ).

thf(zip_derived_cl59627_023,plain,
    ! [X0: $i,X2: $i] : ( cong @ X0 @ X2 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl59614,zip_derived_cl57191]) ).

thf(zip_derived_cl59703,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl59641,zip_derived_cl59627]) ).

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_cl59900,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl59703,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_cl59962,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( para @ X2 @ X1 @ X4 @ X3 )
      | ~ ( perp @ X0 @ X0 @ X4 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59900,zip_derived_cl8]) ).

thf(zip_derived_cl59703_024,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl59641,zip_derived_cl59627]) ).

thf(zip_derived_cl59989,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl59962,zip_derived_cl59703]) ).

thf(zip_derived_cl59989_025,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl59962,zip_derived_cl59703]) ).

thf(zip_derived_cl60026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : ( eqangle @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl3970,zip_derived_cl59989,zip_derived_cl59989]) ).

thf(zip_derived_cl61173,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl60026]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO581+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hhvEU9PU8W true
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 19:09:27 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.57/0.64  % Total configuration time : 435
% 0.57/0.64  % Estimated wc time : 1092
% 0.57/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 102.06/15.36  % Solved by fo/fo3_bce.sh.
% 102.06/15.36  % BCE start: 107
% 102.06/15.36  % BCE eliminated: 1
% 102.06/15.36  % PE start: 106
% 102.06/15.36  logic: eq
% 102.06/15.36  % PE eliminated: -17
% 102.06/15.36  % done 12736 iterations in 14.547s
% 102.06/15.36  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 102.06/15.36  % SZS output start Refutation
% See solution above
% 102.06/15.36  
% 102.06/15.36  
% 102.06/15.36  % Terminating...
% 102.37/15.40  % Runner terminated.
% 102.37/15.43  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------