TSTP Solution File: GEO623+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO623+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.uhCnK3yOOY true

% Computer : n003.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 23:59:28 EDT 2023

% Result   : Theorem 100.69s 15.01s
% Output   : Refutation 100.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   96 (  20 unt;  12 typ;   0 def)
%            Number of atoms       :  193 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives : 1015 (  66   ~;  67   |;  22   &; 840   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (  12 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   6 con; 0-8 aty)
%            Number of variables   :  329 (   0   ^; 329   !;   0   ?; 329   :)

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

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

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__23_type,type,
    sk__23: $i ).

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

thf(ruleD68,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( midp @ A @ B @ C )
     => ( cong @ A @ B @ A @ C ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cong @ X0 @ X1 @ X0 @ X2 )
      | ~ ( midp @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[ruleD68]) ).

thf(exemplo6GDDFULL8110986,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
      ( ( ( midp @ D @ C @ A )
        & ( midp @ E @ B @ C )
        & ( midp @ F @ A @ B )
        & ( eqangle @ G @ B @ B @ C @ G @ B @ B @ A )
        & ( coll @ G @ D @ F )
        & ( coll @ H @ B @ G )
        & ( coll @ H @ D @ E ) )
     => ( cong @ D @ G @ D @ H ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
        ( ( ( midp @ D @ C @ A )
          & ( midp @ E @ B @ C )
          & ( midp @ F @ A @ B )
          & ( eqangle @ G @ B @ B @ C @ G @ B @ B @ A )
          & ( coll @ G @ D @ F )
          & ( coll @ H @ B @ G )
          & ( coll @ H @ D @ E ) )
       => ( cong @ D @ G @ D @ H ) ),
    inference('cnf.neg',[status(esa)],[exemplo6GDDFULL8110986]) ).

thf(zip_derived_cl101,plain,
    ~ ( cong @ sk__23 @ sk__26 @ sk__23 @ sk__27 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1551,plain,
    ~ ( midp @ sk__23 @ sk__26 @ sk__27 ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl101]) ).

thf(zip_derived_cl104,plain,
    midp @ sk__23 @ sk__22 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ruleD11,axiom,
    ! [A: $i,B: $i,M: $i] :
      ( ( midp @ M @ B @ A )
     => ( midp @ M @ A @ B ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( midp @ X0 @ X1 @ X2 )
      | ~ ( midp @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD11]) ).

thf(zip_derived_cl754,plain,
    midp @ sk__23 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl10]) ).

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_cl52,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(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(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_cl1250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl20]) ).

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_cl5586,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X2 @ X0 @ X2 @ X0 )
      | ~ ( coll @ X2 @ X1 @ X0 )
      | ( cyclic @ X0 @ X0 @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1250,zip_derived_cl34]) ).

thf(zip_derived_cl1250_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( para @ X5 @ X4 @ X3 @ X2 )
      | ( eqangle @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl20]) ).

thf(ruleD42a,axiom,
    ! [A: $i,B: $i,P: $i,Q: $i] :
      ( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
        & ~ ( coll @ P @ Q @ A ) )
     => ( cyclic @ A @ B @ P @ Q ) ) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ( coll @ X2 @ X3 @ X0 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD42a]) ).

thf(zip_derived_cl5585,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X2 @ X0 @ X2 @ X0 )
      | ( coll @ X2 @ X1 @ X0 )
      | ( cyclic @ X0 @ X0 @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1250,zip_derived_cl33]) ).

thf(zip_derived_cl77363,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cyclic @ X0 @ X0 @ X2 @ X1 )
      | ~ ( para @ X2 @ X0 @ X2 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5586,zip_derived_cl5585]) ).

thf(zip_derived_cl754_002,plain,
    midp @ sk__23 @ sk__20 @ sk__22,
    inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl10]) ).

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_cl1488,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( midp @ sk__23 @ X1 @ X0 )
      | ( para @ sk__20 @ X1 @ sk__22 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl754,zip_derived_cl51]) ).

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_cl8058,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( midp @ sk__23 @ X1 @ X0 )
      | ( para @ sk__20 @ X1 @ X0 @ sk__22 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1488,zip_derived_cl3]) ).

thf(zip_derived_cl31_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(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_cl1248,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_cl5500,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_cl1248,zip_derived_cl30]) ).

thf(zip_derived_cl127068,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( midp @ sk__23 @ sk__22 @ sk__20 )
      | ( para @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8058,zip_derived_cl5500]) ).

thf(zip_derived_cl104_004,plain,
    midp @ sk__23 @ sk__22 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127095,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl127068,zip_derived_cl104]) ).

thf(zip_derived_cl127149,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X0 @ X0 @ X2 @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl77363,zip_derived_cl127095]) ).

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_cl129848,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X1 @ X2 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl127149,zip_derived_cl14]) ).

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_cl1323,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_cl1324,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_cl1323]) ).

thf(zip_derived_cl6258,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_cl1324]) ).

thf(zip_derived_cl130551,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cyclic @ X1 @ X0 @ X1 @ X1 )
      | ( cong @ X1 @ X0 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl129848,zip_derived_cl6258]) ).

thf(zip_derived_cl33_005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cyclic @ X0 @ X1 @ X2 @ X3 )
      | ( coll @ X2 @ X3 @ X0 )
      | ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[ruleD42a]) ).

thf(zip_derived_cl31_006,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_cl1284,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( coll @ X1 @ X1 @ X2 )
      | ( cyclic @ X2 @ X0 @ X1 @ X1 )
      | ~ ( para @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl31]) ).

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_cl5987,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( para @ X0 @ X2 @ X0 @ X2 )
      | ( coll @ X0 @ X0 @ X2 )
      | ( cyclic @ X1 @ X2 @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1284,zip_derived_cl15]) ).

thf(zip_derived_cl1248_007,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_cl34_008,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_cl5502,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_cl1248,zip_derived_cl34]) ).

thf(zip_derived_cl88010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cyclic @ X1 @ X2 @ X0 @ X0 )
      | ~ ( para @ X0 @ X2 @ X0 @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl5987,zip_derived_cl5502]) ).

thf(zip_derived_cl127095_009,plain,
    ! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl127068,zip_derived_cl104]) ).

thf(zip_derived_cl127150,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X0 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl88010,zip_derived_cl127095]) ).

thf(zip_derived_cl130595,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl130551,zip_derived_cl127150]) ).

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_cl130615,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( perp @ X1 @ X1 @ X0 @ X2 )
      | ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl130595,zip_derived_cl48]) ).

thf(zip_derived_cl130595_010,plain,
    ! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl130551,zip_derived_cl127150]) ).

thf(zip_derived_cl130655,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl130615,zip_derived_cl130595]) ).

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_cl130983,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
    inference('sup-',[status(thm)],[zip_derived_cl130655,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_cl131046,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_cl130983,zip_derived_cl8]) ).

thf(zip_derived_cl130655_011,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
    inference(demod,[status(thm)],[zip_derived_cl130615,zip_derived_cl130595]) ).

thf(zip_derived_cl131070,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl131046,zip_derived_cl130655]) ).

thf(zip_derived_cl131070_012,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
    inference(demod,[status(thm)],[zip_derived_cl131046,zip_derived_cl130655]) ).

thf(zip_derived_cl131073,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( midp @ X4 @ X0 @ X2 )
      | ( midp @ X4 @ X3 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl131070,zip_derived_cl131070]) ).

thf(zip_derived_cl131139,plain,
    ! [X0: $i,X1: $i] : ( midp @ sk__23 @ X1 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl754,zip_derived_cl131073]) ).

thf(zip_derived_cl131146,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1551,zip_derived_cl131139]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO623+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uhCnK3yOOY true
% 0.14/0.35  % Computer : n003.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 20:52:41 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
% 0.41/0.64  % Total configuration time : 435
% 0.41/0.64  % Estimated wc time : 1092
% 0.41/0.64  % 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/fo1_av.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76  % /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/fo5.sh running for 50s
% 0.55/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 100.69/15.01  % Solved by fo/fo3_bce.sh.
% 100.69/15.01  % BCE start: 109
% 100.69/15.01  % BCE eliminated: 1
% 100.69/15.01  % PE start: 108
% 100.69/15.01  logic: eq
% 100.69/15.01  % PE eliminated: -17
% 100.69/15.01  % done 24648 iterations in 14.253s
% 100.69/15.01  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 100.69/15.01  % SZS output start Refutation
% See solution above
% 100.69/15.01  
% 100.69/15.01  
% 100.69/15.01  % Terminating...
% 101.20/15.11  % Runner terminated.
% 101.20/15.12  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------