TSTP Solution File: GEO586+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO586+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.I9v1JHmdfs true

% Computer : n015.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 50.37s 7.79s
% Output   : Refutation 50.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  133 (  47 unt;  16 typ;   0 def)
%            Number of atoms       :  227 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives : 1081 (  68   ~;  66   |;  21   &; 903   @)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  16 usr;   8 con; 0-8 aty)
%            Number of variables   :  337 (   0   ^; 336   !;   1   ?; 337   :)

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

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

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

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

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

thf(sk__11_type,type,
    sk__11: $i > $i > $i ).

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

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

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

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

thf(sk__25_type,type,
    sk__25: $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__23_type,type,
    sk__23: $i ).

thf(exemplo6GDDFULL416048,conjecture,
    ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,I: $i,NWPNT1: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( circle @ O @ A @ D @ NWPNT1 )
        & ( coll @ E @ A @ C )
        & ( coll @ E @ B @ D )
        & ( circle @ I @ A @ B @ E ) )
     => ( perp @ I @ E @ C @ D ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,I: $i,NWPNT1: $i] :
        ( ( ( circle @ O @ A @ B @ C )
          & ( circle @ O @ A @ D @ NWPNT1 )
          & ( coll @ E @ A @ C )
          & ( coll @ E @ B @ D )
          & ( circle @ I @ A @ B @ E ) )
       => ( perp @ I @ E @ C @ D ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL416048]) ).

thf(zip_derived_cl118,plain,
    ~ ( perp @ sk__26 @ sk__25 @ sk__22 @ sk__24 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl114,plain,
    circle @ sk__23 @ sk__20 @ sk__21 @ sk__22,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleX11,axiom,
    ! [A: $i,B: $i,C: $i,O: $i] :
    ? [P: $i] :
      ( ( circle @ O @ A @ B @ C )
     => ( perp @ P @ A @ A @ O ) ) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
      | ( perp @ ( sk__11 @ X0 @ X1 ) @ X1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[ruleX11]) ).

thf(zip_derived_cl1284,plain,
    perp @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20 @ sk__20 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl99]) ).

thf(zip_derived_cl1284_001,plain,
    perp @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20 @ sk__20 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl99]) ).

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_cl1289,plain,
    perp @ sk__20 @ sk__23 @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1284,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_cl1301,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__20 @ sk__23 @ X1 @ X0 )
      | ~ ( perp @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1289,zip_derived_cl8]) ).

thf(zip_derived_cl1311,plain,
    para @ sk__20 @ sk__23 @ sk__20 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl1284,zip_derived_cl1301]) ).

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_cl1315,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1311,zip_derived_cl39]) ).

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_cl3369,plain,
    ! [X0: $i] :
      ( ~ ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__20 )
      | ~ ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__23 )
      | ~ ( cyclic @ sk__23 @ X0 @ sk__20 @ X0 )
      | ( cong @ sk__23 @ X0 @ sk__23 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1315,zip_derived_cl43]) ).

thf(zip_derived_cl46101,plain,
    ( ( cong @ sk__23 @ sk__20 @ sk__23 @ sk__20 )
    | ~ ( cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__20 )
    | ~ ( cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__23 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl3369]) ).

thf(zip_derived_cl115,plain,
    coll @ sk__25 @ sk__20 @ sk__22,
    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_cl119,plain,
    coll @ sk__25 @ sk__22 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl115,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_cl126,plain,
    coll @ sk__22 @ sk__25 @ sk__20,
    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_cl157,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_cl164,plain,
    coll @ sk__20 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl157]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD1]) ).

thf(zip_derived_cl193,plain,
    coll @ sk__20 @ sk__22 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl0]) ).

thf(zip_derived_cl157_003,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_cl244,plain,
    coll @ sk__20 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl157]) ).

thf(zip_derived_cl1315_004,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1311,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_cl3368,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__20 @ X0 )
      | ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1315,zip_derived_cl42]) ).

thf(zip_derived_cl3619,plain,
    cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl3368]) ).

thf(zip_derived_cl1311_005,plain,
    para @ sk__20 @ sk__23 @ sk__20 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl1284,zip_derived_cl1301]) ).

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_cl1322,plain,
    coll @ sk__20 @ sk__23 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl1311,zip_derived_cl66]) ).

thf(zip_derived_cl157_006,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_cl1328,plain,
    coll @ sk__23 @ sk__23 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1322,zip_derived_cl157]) ).

thf(zip_derived_cl157_007,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_cl1336,plain,
    coll @ sk__20 @ sk__20 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl1328,zip_derived_cl157]) ).

thf(zip_derived_cl3368_008,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__20 @ sk__20 @ X0 )
      | ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1315,zip_derived_cl42]) ).

thf(zip_derived_cl3622,plain,
    cyclic @ sk__23 @ sk__23 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl1336,zip_derived_cl3368]) ).

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_cl3652,plain,
    cyclic @ sk__23 @ sk__20 @ sk__23 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl3622,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_cl3842,plain,
    cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__23,
    inference('sup-',[status(thm)],[zip_derived_cl3652,zip_derived_cl13]) ).

thf(zip_derived_cl46102,plain,
    cong @ sk__23 @ sk__20 @ sk__23 @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl46101,zip_derived_cl3619,zip_derived_cl3842]) ).

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_cl1315_009,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1311,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_cl3363,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 ),
    inference('sup-',[status(thm)],[zip_derived_cl1315,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_cl42782,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3363,zip_derived_cl38]) ).

thf(zip_derived_cl66_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl42806,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl42782,zip_derived_cl66]) ).

thf(zip_derived_cl157_011,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_cl42844,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl42806,zip_derived_cl157]) ).

thf(zip_derived_cl2_012,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_cl45571,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X2 @ X1 )
      | ~ ( coll @ X1 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42844,zip_derived_cl2]) ).

thf(zip_derived_cl42844_013,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl42806,zip_derived_cl157]) ).

thf(zip_derived_cl45821,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl45571,zip_derived_cl42844]) ).

thf(zip_derived_cl45827,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_cl45821]) ).

thf(zip_derived_cl46358,plain,
    midp @ sk__23 @ sk__20 @ sk__20,
    inference('sup-',[status(thm)],[zip_derived_cl46102,zip_derived_cl45827]) ).

thf(zip_derived_cl42782_014,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl3363,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_cl1248,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_cl42812,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X1 )
      | ( midp @ X2 @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42782,zip_derived_cl1248]) ).

thf(zip_derived_cl46387,plain,
    ! [X0: $i] : ( midp @ sk__23 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl46358,zip_derived_cl42812]) ).

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_cl46416,plain,
    ! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl46387,zip_derived_cl68]) ).

thf(ruleD12,axiom,
    ! [A: $i,B: $i,C: $i,O: $i] :
      ( ( ( cong @ O @ A @ O @ B )
        & ( cong @ O @ A @ O @ C ) )
     => ( circle @ O @ A @ B @ C ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( circle @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X3 )
      | ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD12]) ).

thf(zip_derived_cl353,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cong @ X1 @ X2 @ X1 @ X0 )
      | ( circle @ X1 @ X2 @ X0 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl47579,plain,
    ! [X0: $i] : ( circle @ sk__23 @ X0 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl46416,zip_derived_cl353]) ).

thf(ruleD53,axiom,
    ! [A: $i,B: $i,C: $i,O: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( coll @ O @ A @ C ) )
     => ( perp @ A @ B @ B @ C ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X1 @ X2 )
      | ~ ( circle @ X3 @ X0 @ X1 @ X2 )
      | ~ ( coll @ X3 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD53]) ).

thf(zip_derived_cl45821_015,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl45571,zip_derived_cl42844]) ).

thf(zip_derived_cl45825,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X1 @ X2 )
      | ~ ( circle @ X3 @ X0 @ X1 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl45821]) ).

thf(zip_derived_cl47596,plain,
    ! [X0: $i] : ( perp @ X0 @ X0 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl47579,zip_derived_cl45825]) ).

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_cl46416_016,plain,
    ! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl46387,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_cl47577,plain,
    ! [X0: $i,X1: $i] :
      ( ( perp @ sk__23 @ sk__23 @ X0 @ X1 )
      | ~ ( cong @ sk__23 @ X1 @ sk__23 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46416,zip_derived_cl56]) ).

thf(zip_derived_cl46416_017,plain,
    ! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl46387,zip_derived_cl68]) ).

thf(zip_derived_cl47591,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__23 @ sk__23 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl47577,zip_derived_cl46416]) ).

thf(zip_derived_cl7_018,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_cl47685,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ sk__23 @ sk__23 ),
    inference('sup-',[status(thm)],[zip_derived_cl47591,zip_derived_cl7]) ).

thf(zip_derived_cl8_019,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_cl47707,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X1 @ X0 @ X3 @ X2 )
      | ~ ( perp @ sk__23 @ sk__23 @ X3 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47685,zip_derived_cl8]) ).

thf(zip_derived_cl47591_020,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__23 @ sk__23 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl47577,zip_derived_cl46416]) ).

thf(zip_derived_cl47760,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl47707,zip_derived_cl47591]) ).

thf(zip_derived_cl47856,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( perp @ X2 @ X3 @ X4 @ X5 )
      | ( perp @ X0 @ X1 @ X4 @ X5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl47760]) ).

thf(zip_derived_cl50532,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X2 @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl47596,zip_derived_cl47856]) ).

thf(zip_derived_cl7_021,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_cl50639,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X0 @ X0 @ X2 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl50532,zip_derived_cl7]) ).

thf(zip_derived_cl47856_022,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( perp @ X2 @ X3 @ X4 @ X5 )
      | ( perp @ X0 @ X1 @ X4 @ X5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl47760]) ).

thf(zip_derived_cl50667,plain,
    ! [X0: $i,X1: $i,X3: $i,X4: $i] : ( perp @ X4 @ X3 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl50639,zip_derived_cl47856]) ).

thf(zip_derived_cl50743,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl50667]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO586+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.I9v1JHmdfs true
% 0.19/0.35  % Computer : n015.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit : 300
% 0.19/0.35  % WCLimit  : 300
% 0.19/0.35  % DateTime : Tue Aug 29 23:08:26 EDT 2023
% 0.19/0.35  % CPUTime  : 
% 0.19/0.35  % Running portfolio for 300 s
% 0.19/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.36  % Number of cores: 8
% 0.19/0.36  % Python version: Python 3.6.8
% 0.19/0.36  % Running in FO mode
% 0.23/0.64  % Total configuration time : 435
% 0.23/0.64  % Estimated wc time : 1092
% 0.23/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 50.37/7.79  % Solved by fo/fo5.sh.
% 50.37/7.79  % done 19256 iterations in 7.007s
% 50.37/7.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 50.37/7.79  % SZS output start Refutation
% See solution above
% 50.37/7.79  
% 50.37/7.79  
% 50.37/7.79  % Terminating...
% 50.37/7.88  % Runner terminated.
% 50.40/7.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------