↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO645+1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yRiw0Jdto0 true

% Computer : n016.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 : Thu Oct  2 04:35:08 PM UTC 2025

% Result   : Theorem 40.09s 6.34s
% Output   : Refutation 40.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   73 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :  158 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  807 (  49   ~;  47   |;  20   &; 673   @)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   7 con; 0-8 aty)
%            Number of variables   :  277 (   0   ^; 277   !;   0   ?; 277   :)

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

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

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

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

thf(sk__23_type,type,
    sk__23: $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__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__21_type,type,
    sk__21: $i ).

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

thf(exemplo6GDDFULLmoreE0091,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i] :
      ( ( ( perp @ A @ C @ C @ B )
        & ( perp @ A @ D @ D @ B )
        & ( circle @ A @ C @ D @ NWPNT1 )
        & ( coll @ E @ B @ C )
        & ( circle @ A @ B @ E @ NWPNT2 )
        & ( coll @ F @ B @ D )
        & ( circle @ A @ B @ F @ NWPNT3 ) )
     => ( para @ C @ D @ E @ F ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i] :
        ( ( ( perp @ A @ C @ C @ B )
          & ( perp @ A @ D @ D @ B )
          & ( circle @ A @ C @ D @ NWPNT1 )
          & ( coll @ E @ B @ C )
          & ( circle @ A @ B @ E @ NWPNT2 )
          & ( coll @ F @ B @ D )
          & ( circle @ A @ B @ F @ NWPNT3 ) )
       => ( para @ C @ D @ E @ F ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULLmoreE0091]) ).

thf(zip_derived_cl108,plain,
    ~ ( para @ sk__22 @ sk__23 @ sk__24 @ sk__25 ),
    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_cl32,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(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_cl1173,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
      | ( cong @ X2 @ X0 @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl35]) ).

thf(zip_derived_cl1174,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cong @ X2 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
      | ~ ( cyclic @ X2 @ X0 @ X3 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1173]) ).

thf(zip_derived_cl4225,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X1 @ X0 @ X1 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1174]) ).

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_cl1107,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_cl3496,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_cl1107,zip_derived_cl34]) ).

thf(zip_derived_cl102,plain,
    perp @ sk__20 @ sk__22 @ sk__22 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl822,plain,
    perp @ sk__20 @ sk__22 @ sk__21 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl6]) ).

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_cl853,plain,
    ! [X0: $i,X1: $i] :
      ( ( para @ sk__20 @ sk__22 @ X1 @ X0 )
      | ~ ( perp @ sk__21 @ sk__22 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl8]) ).

thf(zip_derived_cl822_001,plain,
    perp @ sk__20 @ sk__22 @ sk__21 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl6]) ).

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_cl831,plain,
    perp @ sk__21 @ sk__22 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl7]) ).

thf(zip_derived_cl2513,plain,
    para @ sk__20 @ sk__22 @ sk__20 @ sk__22,
    inference('sup+',[status(thm)],[zip_derived_cl853,zip_derived_cl831]) ).

thf(zip_derived_cl1107_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(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_cl3494,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_cl1107,zip_derived_cl30]) ).

thf(zip_derived_cl42314,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2513,zip_derived_cl3494]) ).

thf(zip_derived_cl42314_003,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2513,zip_derived_cl3494]) ).

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_cl42333,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl42314,zip_derived_cl54]) ).

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_cl803,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_cl42394,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl42333,zip_derived_cl803]) ).

thf(zip_derived_cl43483,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl3496,zip_derived_cl42314,zip_derived_cl42394]) ).

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_cl43494,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl43483,zip_derived_cl14]) ).

thf(zip_derived_cl43824,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X1 @ X0 @ X1 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4225,zip_derived_cl43494]) ).

thf(zip_derived_cl43494_004,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl43483,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_cl43827,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl43494,zip_derived_cl13]) ).

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_cl43905,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl43827,zip_derived_cl15]) ).

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_cl43982,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X2 @ X1 @ X0 @ X3 )
      | ~ ( cyclic @ X1 @ X2 @ X1 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43905,zip_derived_cl16]) ).

thf(zip_derived_cl43905_005,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl43827,zip_derived_cl15]) ).

thf(zip_derived_cl44000,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl43982,zip_derived_cl43905]) ).

thf(zip_derived_cl44366,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl43824,zip_derived_cl44000]) ).

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_cl44374,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X1 @ X1 @ X0 @ X2 )
      | ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44366,zip_derived_cl48]) ).

thf(zip_derived_cl44366_006,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl43824,zip_derived_cl44000]) ).

thf(zip_derived_cl44394,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl44374,zip_derived_cl44366]) ).

thf(zip_derived_cl7_007,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_cl44500,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl44394,zip_derived_cl7]) ).

thf(zip_derived_cl8_008,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_cl44799,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_cl44500,zip_derived_cl8]) ).

thf(zip_derived_cl44394_009,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl44374,zip_derived_cl44366]) ).

thf(zip_derived_cl44840,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl44799,zip_derived_cl44394]) ).

thf(zip_derived_cl45089,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl44840]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO645+1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yRiw0Jdto0 true
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 17:48:38 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % Running in FO mode
% 0.48/0.57  % Total configuration time : 435
% 0.48/0.57  % Estimated wc time : 1092
% 0.48/0.57  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.64  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 40.09/6.34  % Solved by fo/fo3_bce.sh.
% 40.09/6.34  % BCE start: 109
% 40.09/6.34  % BCE eliminated: 1
% 40.09/6.34  % PE start: 108
% 40.09/6.34  logic: eq
% 40.09/6.34  % PE eliminated: 0
% 40.09/6.34  % done 9525 iterations in 5.653s
% 40.09/6.34  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 40.09/6.34  % SZS output start Refutation
% See solution above
% 40.09/6.34  
% 40.09/6.34  
% 40.09/6.34  % Terminating...
% 40.80/6.42  % Runner terminated.
% 40.80/6.43  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------