TSTP Solution File: GEO629+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO629+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.OTL6fNbFSF true

% Computer : n018.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 23:59:30 EDT 2023

% Result   : Theorem 14.09s 2.61s
% Output   : Refutation 14.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   92 (  31 unt;  14 typ;   0 def)
%            Number of atoms       :  172 (   0 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  887 (  46   ~;  44   |;  33   &; 747   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   31 (  31   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   8 con; 0-8 aty)
%            Number of variables   :  302 (   0   ^; 302   !;   0   ?; 302   :)

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

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

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

thf(sk__26_type,type,
    sk__26: $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__30_type,type,
    sk__30: $i ).

thf(sk__28_type,type,
    sk__28: $i ).

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

thf(sk__25_type,type,
    sk__25: $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(exemplo6GDDFULL8110992,conjecture,
    ! [A: $i,B: $i,C: $i,O: $i,P1: $i,F1: $i,G1: $i,P: $i,F: $i,G: $i,K: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i] :
      ( ( ( circle @ O @ A @ B @ C )
        & ( circle @ O @ A @ P1 @ NWPNT1 )
        & ( perp @ F1 @ P1 @ A @ C )
        & ( coll @ F1 @ A @ C )
        & ( perp @ G1 @ P1 @ A @ B )
        & ( coll @ G1 @ A @ B )
        & ( circle @ O @ A @ P @ NWPNT2 )
        & ( perp @ F @ P @ A @ C )
        & ( coll @ F @ A @ C )
        & ( perp @ G @ P @ A @ B )
        & ( coll @ G @ A @ B )
        & ( para @ F1 @ G1 @ K @ P )
        & ( circle @ O @ A @ K @ NWPNT3 ) )
     => ( para @ K @ P1 @ G @ F ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,O: $i,P1: $i,F1: $i,G1: $i,P: $i,F: $i,G: $i,K: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i] :
        ( ( ( circle @ O @ A @ B @ C )
          & ( circle @ O @ A @ P1 @ NWPNT1 )
          & ( perp @ F1 @ P1 @ A @ C )
          & ( coll @ F1 @ A @ C )
          & ( perp @ G1 @ P1 @ A @ B )
          & ( coll @ G1 @ A @ B )
          & ( circle @ O @ A @ P @ NWPNT2 )
          & ( perp @ F @ P @ A @ C )
          & ( coll @ F @ A @ C )
          & ( perp @ G @ P @ A @ B )
          & ( coll @ G @ A @ B )
          & ( para @ F1 @ G1 @ K @ P )
          & ( circle @ O @ A @ K @ NWPNT3 ) )
       => ( para @ K @ P1 @ G @ F ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL8110992]) ).

thf(zip_derived_cl126,plain,
    ~ ( para @ sk__30 @ sk__24 @ sk__29 @ sk__28 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125,plain,
    para @ sk__25 @ sk__26 @ sk__30 @ sk__27,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl530,plain,
    para @ sk__25 @ sk__26 @ sk__27 @ sk__30,
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl3]) ).

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_cl1036,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ sk__25 @ sk__26 @ X1 @ X0 @ sk__27 @ sk__30 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl530,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_cl1815,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__25 @ sk__26 @ X1 @ X0 @ sk__27 @ sk__30 ),
    inference('sup-',[status(thm)],[zip_derived_cl1036,zip_derived_cl18]) ).

thf(ruleD21,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
      ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
     => ( eqangle @ A @ B @ P @ Q @ C @ D @ U @ V ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD21]) ).

thf(zip_derived_cl2768,plain,
    ! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ X1 @ X0 @ sk__25 @ sk__26 @ sk__27 @ sk__30 ),
    inference('sup-',[status(thm)],[zip_derived_cl1815,zip_derived_cl20]) ).

thf(ruleD73,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 )
        & ( para @ P @ Q @ U @ V ) )
     => ( para @ A @ B @ C @ D ) ) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( para @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( para @ X4 @ X5 @ X6 @ X7 ) ),
    inference(cnf,[status(esa)],[ruleD73]) ).

thf(zip_derived_cl8128,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( para @ sk__25 @ sk__26 @ sk__27 @ sk__30 )
      | ( para @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2768,zip_derived_cl73]) ).

thf(zip_derived_cl530_001,plain,
    para @ sk__25 @ sk__26 @ sk__27 @ sk__30,
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl3]) ).

thf(zip_derived_cl8135,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl8128,zip_derived_cl530]) ).

thf(zip_derived_cl3_002,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_cl8150,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl8135,zip_derived_cl3]) ).

thf(zip_derived_cl39_003,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_cl8695,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X0 @ X1 @ X3 @ X2 @ X1 @ X0 @ X3 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl8150,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_cl10149,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cyclic @ X1 @ X0 @ X1 @ X1 )
      | ~ ( cyclic @ X1 @ X0 @ X1 @ X1 )
      | ~ ( cyclic @ X1 @ X0 @ X1 @ X0 )
      | ( cong @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8695,zip_derived_cl43]) ).

thf(zip_derived_cl10161,plain,
    ! [X0: $i,X1: $i] :
      ( ( cong @ X1 @ X0 @ X1 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X1 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X1 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10149]) ).

thf(zip_derived_cl8695_004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X0 @ X1 @ X3 @ X2 @ X1 @ X0 @ X3 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl8150,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_cl8135_005,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl8128,zip_derived_cl530]) ).

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_cl8154,plain,
    ! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl8135,zip_derived_cl66]) ).

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_cl174,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_cl8176,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl8154,zip_derived_cl174]) ).

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_cl8661,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X0 @ X2 @ X1 )
      | ~ ( coll @ X1 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8176,zip_derived_cl2]) ).

thf(zip_derived_cl8176_007,plain,
    ! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl8154,zip_derived_cl174]) ).

thf(zip_derived_cl8674,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl8661,zip_derived_cl8176]) ).

thf(zip_derived_cl8675,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl8674]) ).

thf(zip_derived_cl12936,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ X1 @ X0 @ X1 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl8695,zip_derived_cl8675]) ).

thf(zip_derived_cl12937,plain,
    ! [X0: $i,X1: $i] :
      ( ( cong @ X1 @ X0 @ X1 @ X0 )
      | ~ ( cyclic @ X1 @ X0 @ X1 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10161,zip_derived_cl12936]) ).

thf(zip_derived_cl12936_008,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ X1 @ X0 @ X1 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl8695,zip_derived_cl8675]) ).

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_cl12941,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ X0 @ X0 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl12936,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_cl12948,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ X0 @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl12941,zip_derived_cl13]) ).

thf(ruleD17,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( cyclic @ A @ B @ C @ D )
        & ( cyclic @ A @ B @ C @ E ) )
     => ( cyclic @ B @ C @ D @ E ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ~ ( cyclic @ X0 @ X1 @ X2 @ X4 )
      | ( cyclic @ X1 @ X2 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[ruleD17]) ).

thf(zip_derived_cl12969,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cyclic @ X1 @ X1 @ X0 @ X2 )
      | ~ ( cyclic @ X1 @ X1 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12948,zip_derived_cl16]) ).

thf(zip_derived_cl12948_009,plain,
    ! [X0: $i,X1: $i] : ( cyclic @ X0 @ X0 @ X0 @ X1 ),
    inference('sup-',[status(thm)],[zip_derived_cl12941,zip_derived_cl13]) ).

thf(zip_derived_cl12975,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl12969,zip_derived_cl12948]) ).

thf(zip_derived_cl16_010,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_cl12982,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X2 @ X1 @ X0 @ X3 )
      | ~ ( cyclic @ X2 @ X2 @ X1 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12975,zip_derived_cl16]) ).

thf(zip_derived_cl12975_011,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl12969,zip_derived_cl12948]) ).

thf(zip_derived_cl12988,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl12982,zip_derived_cl12975]) ).

thf(zip_derived_cl13044,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl12937,zip_derived_cl12988]) ).

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_cl13051,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X1 @ X1 @ X0 @ X2 )
      | ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13044,zip_derived_cl56]) ).

thf(zip_derived_cl13044_012,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl12937,zip_derived_cl12988]) ).

thf(zip_derived_cl13054,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl13051,zip_derived_cl13044]) ).

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_cl14567,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl13054,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_cl14604,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_cl14567,zip_derived_cl8]) ).

thf(zip_derived_cl13054_013,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl13051,zip_derived_cl13044]) ).

thf(zip_derived_cl14753,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl14604,zip_derived_cl13054]) ).

thf(zip_derived_cl15008,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl14753]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO629+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.OTL6fNbFSF true
% 0.14/0.35  % Computer : n018.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 23:44:33 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
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.36/0.65  % Total configuration time : 435
% 0.36/0.65  % Estimated wc time : 1092
% 0.36/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 14.09/2.61  % Solved by fo/fo5.sh.
% 14.09/2.61  % done 6676 iterations in 1.811s
% 14.09/2.61  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.09/2.61  % SZS output start Refutation
% See solution above
% 14.09/2.61  
% 14.09/2.61  
% 14.09/2.61  % Terminating...
% 14.10/2.67  % Runner terminated.
% 14.10/2.68  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------