TSTP Solution File: GEO577+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO577+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.9MqWp6upm6 true

% Computer : n027.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 23:59:14 EDT 2023

% Result   : Theorem 21.67s 3.71s
% Output   : Refutation 21.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  114 (  41 unt;  13 typ;   0 def)
%            Number of atoms       :  199 (   0 equ;   0 cnn)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  972 (  54   ~;  52   |;  24   &; 820   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   34 (  34   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   6 con; 0-8 aty)
%            Number of variables   :  276 (   0   ^; 276   !;   0   ?; 276   :)

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

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

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

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

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

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

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

thf(exemplo6GDDFULL214039,conjecture,
    ! [A: $i,B: $i,C: $i,I: $i,O: $i,M: $i,L1: $i,NWPNT1: $i,NWPNT2: $i] :
      ( ( ( eqangle @ I @ A @ A @ B @ I @ A @ A @ C )
        & ( eqangle @ I @ B @ B @ C @ I @ B @ B @ A )
        & ( eqangle @ I @ C @ C @ A @ I @ C @ C @ B )
        & ( circle @ O @ A @ B @ C )
        & ( circle @ O @ C @ M @ NWPNT1 )
        & ( coll @ M @ C @ I )
        & ( perp @ B @ I @ B @ L1 )
        & ( circle @ O @ A @ L1 @ NWPNT2 ) )
     => ( para @ M @ L1 @ A @ I ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,I: $i,O: $i,M: $i,L1: $i,NWPNT1: $i,NWPNT2: $i] :
        ( ( ( eqangle @ I @ A @ A @ B @ I @ A @ A @ C )
          & ( eqangle @ I @ B @ B @ C @ I @ B @ B @ A )
          & ( eqangle @ I @ C @ C @ A @ I @ C @ C @ B )
          & ( circle @ O @ A @ B @ C )
          & ( circle @ O @ C @ M @ NWPNT1 )
          & ( coll @ M @ C @ I )
          & ( perp @ B @ I @ B @ L1 )
          & ( circle @ O @ A @ L1 @ NWPNT2 ) )
       => ( para @ M @ L1 @ A @ I ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL214039]) ).

thf(zip_derived_cl121,plain,
    ~ ( para @ sk__25 @ sk__26 @ sk__20 @ sk__23 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120,plain,
    perp @ sk__21 @ sk__23 @ sk__21 @ sk__26,
    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_cl190,plain,
    perp @ sk__21 @ sk__26 @ sk__21 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl7]) ).

thf(ruleD7,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( perp @ A @ B @ C @ D )
     => ( perp @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( perp @ X0 @ X1 @ X2 @ X3 )
      | ~ ( perp @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD7]) ).

thf(zip_derived_cl213,plain,
    perp @ sk__21 @ sk__26 @ sk__23 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl6]) ).

thf(zip_derived_cl120_001,plain,
    perp @ sk__21 @ sk__23 @ sk__21 @ sk__26,
    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_cl210,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__21 @ sk__26 @ X1 @ X0 )
      | ( para @ sk__21 @ sk__23 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl8]) ).

thf(zip_derived_cl305,plain,
    para @ sk__21 @ sk__23 @ sk__23 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl210]) ).

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_cl419,plain,
    para @ sk__23 @ sk__21 @ sk__21 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl305,zip_derived_cl4]) ).

thf(ruleD4,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( para @ A @ B @ C @ D )
     => ( para @ A @ B @ D @ C ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( para @ X0 @ X1 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD4]) ).

thf(zip_derived_cl422,plain,
    para @ sk__23 @ sk__21 @ sk__23 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl3]) ).

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_cl428,plain,
    coll @ sk__23 @ sk__21 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl422,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_cl431,plain,
    coll @ sk__21 @ sk__23 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl428,zip_derived_cl1]) ).

thf(zip_derived_cl431_002,plain,
    coll @ sk__21 @ sk__23 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl428,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_cl432,plain,
    ! [X0: $i] :
      ( ~ ( coll @ sk__21 @ sk__23 @ X0 )
      | ( coll @ sk__21 @ X0 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl2]) ).

thf(zip_derived_cl579,plain,
    coll @ sk__21 @ sk__21 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl432]) ).

thf(zip_derived_cl190_003,plain,
    perp @ sk__21 @ sk__26 @ sk__21 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl7]) ).

thf(zip_derived_cl210_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( perp @ sk__21 @ sk__26 @ X1 @ X0 )
      | ( para @ sk__21 @ sk__23 @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl8]) ).

thf(zip_derived_cl304,plain,
    para @ sk__21 @ sk__23 @ sk__21 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl210]) ).

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_cl496,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__21 @ sk__23 @ X1 @ X0 @ sk__21 @ sk__23 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,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_cl1834,plain,
    ! [X0: $i] :
      ( ( cyclic @ sk__23 @ X0 @ sk__21 @ sk__21 )
      | ~ ( coll @ sk__21 @ sk__21 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl42]) ).

thf(zip_derived_cl4156,plain,
    cyclic @ sk__23 @ sk__21 @ sk__21 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl579,zip_derived_cl1834]) ).

thf(zip_derived_cl496_005,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__21 @ sk__23 @ X1 @ X0 @ sk__21 @ sk__23 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,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_cl1835,plain,
    ! [X0: $i] :
      ( ( cong @ sk__23 @ X0 @ sk__23 @ X0 )
      | ~ ( cyclic @ sk__23 @ X0 @ sk__21 @ X0 )
      | ~ ( cyclic @ sk__23 @ X0 @ sk__21 @ sk__23 )
      | ~ ( cyclic @ sk__23 @ X0 @ sk__21 @ sk__21 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl43]) ).

thf(zip_derived_cl16494,plain,
    ( ( cong @ sk__23 @ sk__21 @ sk__23 @ sk__21 )
    | ~ ( cyclic @ sk__23 @ sk__21 @ sk__21 @ sk__23 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4156,zip_derived_cl1835]) ).

thf(zip_derived_cl431_006,plain,
    coll @ sk__21 @ sk__23 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl428,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_cl433,plain,
    coll @ sk__21 @ sk__21 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl0]) ).

thf(zip_derived_cl1834_007,plain,
    ! [X0: $i] :
      ( ( cyclic @ sk__23 @ X0 @ sk__21 @ sk__21 )
      | ~ ( coll @ sk__21 @ sk__21 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,zip_derived_cl42]) ).

thf(zip_derived_cl4158,plain,
    cyclic @ sk__23 @ sk__23 @ sk__21 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl433,zip_derived_cl1834]) ).

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_cl4182,plain,
    cyclic @ sk__23 @ sk__21 @ sk__23 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl4158,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_cl4240,plain,
    cyclic @ sk__23 @ sk__21 @ sk__21 @ sk__23,
    inference('s_sup-',[status(thm)],[zip_derived_cl4182,zip_derived_cl13]) ).

thf(zip_derived_cl16497,plain,
    cong @ sk__23 @ sk__21 @ sk__23 @ sk__21,
    inference(demod,[status(thm)],[zip_derived_cl16494,zip_derived_cl4240]) ).

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_cl496_008,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__21 @ sk__23 @ X1 @ X0 @ sk__21 @ sk__23 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,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_cl1829,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__21 @ sk__23 @ X1 @ X0 @ sk__21 @ sk__23 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl496,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_cl15045,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1829,zip_derived_cl38]) ).

thf(zip_derived_cl66_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD66]) ).

thf(zip_derived_cl15068,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15045,zip_derived_cl66]) ).

thf(zip_derived_cl1_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X1 @ X2 )
      | ~ ( coll @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD2]) ).

thf(zip_derived_cl15154,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15068,zip_derived_cl1]) ).

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_cl15583,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15154,zip_derived_cl0]) ).

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_cl16079,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( coll @ X1 @ X1 @ X2 )
      | ( coll @ X0 @ X2 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15583,zip_derived_cl2]) ).

thf(zip_derived_cl15583_013,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15154,zip_derived_cl0]) ).

thf(zip_derived_cl16257,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl16079,zip_derived_cl15583]) ).

thf(zip_derived_cl16285,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_cl16257]) ).

thf(zip_derived_cl16698,plain,
    midp @ sk__23 @ sk__21 @ sk__21,
    inference('s_sup-',[status(thm)],[zip_derived_cl16497,zip_derived_cl16285]) ).

thf(zip_derived_cl15045_014,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1829,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_cl15062,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( midp @ X2 @ X1 @ X1 )
      | ( midp @ X2 @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15045,zip_derived_cl64]) ).

thf(zip_derived_cl16715,plain,
    ! [X0: $i] : ( midp @ sk__23 @ X0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16698,zip_derived_cl15062]) ).

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_cl16721,plain,
    ! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16715,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_cl17063,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cong @ sk__23 @ X1 @ sk__23 @ X1 )
      | ( perp @ sk__23 @ sk__23 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16721,zip_derived_cl56]) ).

thf(zip_derived_cl16721_015,plain,
    ! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16715,zip_derived_cl68]) ).

thf(zip_derived_cl17067,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__23 @ sk__23 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl17063,zip_derived_cl16721]) ).

thf(zip_derived_cl7_016,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_cl17089,plain,
    ! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ sk__23 @ sk__23 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17067,zip_derived_cl7]) ).

thf(zip_derived_cl8_017,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_cl17131,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( perp @ sk__23 @ sk__23 @ X3 @ X2 )
      | ( para @ X1 @ X0 @ X3 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl17089,zip_derived_cl8]) ).

thf(zip_derived_cl17067_018,plain,
    ! [X0: $i,X1: $i] : ( perp @ sk__23 @ sk__23 @ X0 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl17063,zip_derived_cl16721]) ).

thf(zip_derived_cl17203,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl17131,zip_derived_cl17067]) ).

thf(zip_derived_cl17207,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl17203]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO577+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9MqWp6upm6 true
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 30 00:31:08 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 21.67/3.71  % Solved by fo/fo13.sh.
% 21.67/3.71  % done 6696 iterations in 2.931s
% 21.67/3.71  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 21.67/3.71  % SZS output start Refutation
% See solution above
% 21.67/3.71  
% 21.67/3.71  
% 21.67/3.71  % Terminating...
% 21.67/3.75  % Runner terminated.
% 21.67/3.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------