%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO653+1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h7KNmWYoYO true
% Computer : n021.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 04:35:09 PM UTC 2025
% Result : Theorem 13.61s 2.58s
% Output : Refutation 13.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 21
% Syntax : Number of formulae : 113 ( 48 unt; 0 typ; 0 def)
% Number of atoms : 230 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1079 ( 68 ~; 66 |; 29 &; 894 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 8 con; 0-8 aty)
% Number of variables : 373 ( 0 ^; 373 !; 0 ?; 373 :)
% Comments :
%------------------------------------------------------------------------------
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(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__27_type,type,
sk__27: $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(exemplo6GDDFULLmoreE0227,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( para @ A @ B @ C @ D )
& ( para @ A @ C @ B @ D )
& ( coll @ E @ C @ D )
& ( para @ A @ D @ F @ E )
& ( coll @ F @ A @ B )
& ( coll @ G @ D @ F )
& ( coll @ G @ A @ E )
& ( coll @ H @ B @ E )
& ( coll @ H @ C @ F ) )
=> ( para @ G @ H @ A @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( para @ A @ B @ C @ D )
& ( para @ A @ C @ B @ D )
& ( coll @ E @ C @ D )
& ( para @ A @ D @ F @ E )
& ( coll @ F @ A @ B )
& ( coll @ G @ D @ F )
& ( coll @ G @ A @ E )
& ( coll @ H @ B @ E )
& ( coll @ H @ C @ F ) )
=> ( para @ G @ H @ A @ B ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULLmoreE0227]) ).
thf(zip_derived_cl113,plain,
~ ( para @ sk__26 @ sk__27 @ sk__20 @ sk__21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD44,axiom,
! [A: $i,B: $i,C: $i,E: $i,F: $i] :
( ( ( midp @ E @ A @ B )
& ( midp @ F @ A @ C ) )
=> ( para @ E @ F @ B @ C ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( midp @ X3 @ X1 @ X4 )
| ( para @ X0 @ X3 @ X2 @ X4 ) ),
inference(cnf,[status(esa)],[ruleD44]) ).
thf(zip_derived_cl116,plain,
para @ sk__20 @ sk__21 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl292,plain,
para @ sk__22 @ sk__23 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl4]) ).
thf(zip_derived_cl116_001,plain,
para @ sk__20 @ sk__21 @ sk__22 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD6,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( para @ A @ B @ C @ D )
& ( para @ C @ D @ E @ F ) )
=> ( para @ A @ B @ E @ F ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( para @ X2 @ X3 @ X4 @ X5 )
| ( para @ X0 @ X1 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD6]) ).
thf(zip_derived_cl356,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__20 @ sk__21 @ X1 @ X0 )
| ~ ( para @ sk__22 @ sk__23 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl5]) ).
thf(zip_derived_cl4060,plain,
para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl292,zip_derived_cl356]) ).
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_cl4072,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl4060,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_cl5988,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl4072,zip_derived_cl18]) ).
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_cl5988_002,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl4072,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_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_cl10229,plain,
! [X0: $i] :
( ~ ( coll @ sk__20 @ sk__20 @ sk__21 )
| ( cyclic @ X0 @ sk__21 @ sk__20 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5988,zip_derived_cl42]) ).
thf(zip_derived_cl120,plain,
coll @ sk__25 @ sk__20 @ sk__21,
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_cl124,plain,
coll @ sk__25 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl120,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_cl140,plain,
coll @ sk__21 @ sk__25 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl124,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_cl182,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_cl207,plain,
coll @ sk__20 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl182]) ).
thf(zip_derived_cl10239,plain,
! [X0: $i] : ( cyclic @ X0 @ sk__21 @ sk__20 @ sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl10229,zip_derived_cl207]) ).
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_cl11682,plain,
! [X0: $i] : ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ),
inference('sup-',[status(thm)],[zip_derived_cl10239,zip_derived_cl15]) ).
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_cl11759,plain,
! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ X0 @ sk__20 ),
inference('sup-',[status(thm)],[zip_derived_cl11682,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_cl11793,plain,
! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl11759,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_cl11855,plain,
! [X0: $i,X1: $i] :
( ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 )
| ~ ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11793,zip_derived_cl16]) ).
thf(zip_derived_cl11793_003,plain,
! [X0: $i] : ( cyclic @ sk__21 @ sk__20 @ sk__20 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl11759,zip_derived_cl13]) ).
thf(zip_derived_cl11863,plain,
! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl11855,zip_derived_cl11793]) ).
thf(zip_derived_cl16_004,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_cl11962,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cyclic @ sk__20 @ X1 @ X0 @ X2 )
| ~ ( cyclic @ sk__20 @ sk__20 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11863,zip_derived_cl16]) ).
thf(zip_derived_cl11863_005,plain,
! [X0: $i,X1: $i] : ( cyclic @ sk__20 @ sk__20 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl11855,zip_derived_cl11793]) ).
thf(zip_derived_cl11970,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl11962,zip_derived_cl11863]) ).
thf(zip_derived_cl16_006,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_cl12076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X2 @ X1 @ X0 @ X3 )
| ~ ( cyclic @ sk__20 @ X2 @ X1 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11970,zip_derived_cl16]) ).
thf(zip_derived_cl11970_007,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__20 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl11962,zip_derived_cl11863]) ).
thf(zip_derived_cl12084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl12076,zip_derived_cl11970]) ).
thf(zip_derived_cl12084_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl12076,zip_derived_cl11970]) ).
thf(zip_derived_cl12084_009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl12076,zip_derived_cl11970]) ).
thf(zip_derived_cl12188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X4 @ X0 @ X4 @ X1 @ X5 @ X2 @ X5 @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl12084,zip_derived_cl12084,zip_derived_cl12084]) ).
thf(zip_derived_cl12805,plain,
! [X0: $i] : ( cong @ X0 @ sk__21 @ X0 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl5988,zip_derived_cl12188]) ).
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_cl5988_010,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl4072,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_cl10227,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl5988,zip_derived_cl38]) ).
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_cl10251,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl10227,zip_derived_cl66]) ).
thf(zip_derived_cl182_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_cl10296,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl10251,zip_derived_cl182]) ).
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_cl11439,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X2 @ X1 )
| ~ ( coll @ X1 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10296,zip_derived_cl2]) ).
thf(zip_derived_cl10296_013,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl10251,zip_derived_cl182]) ).
thf(zip_derived_cl11538,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl11439,zip_derived_cl10296]) ).
thf(zip_derived_cl11576,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_cl11538]) ).
thf(zip_derived_cl12835,plain,
! [X0: $i] : ( midp @ X0 @ sk__21 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl12805,zip_derived_cl11576]) ).
thf(zip_derived_cl10227_014,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl5988,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_cl1751,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_cl10257,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10227,zip_derived_cl1751]) ).
thf(zip_derived_cl12856,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl12835,zip_derived_cl10257]) ).
thf(zip_derived_cl10227_015,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl5988,zip_derived_cl38]) ).
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_cl10247,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl10227,zip_derived_cl3]) ).
thf(ruleD45,axiom,
! [A: $i,B: $i,C: $i,E: $i,F: $i] :
( ( ( midp @ E @ A @ B )
& ( para @ E @ F @ B @ C )
& ( coll @ F @ A @ C ) )
=> ( midp @ F @ A @ C ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X3 @ X2 @ X4 )
| ~ ( coll @ X3 @ X1 @ X4 )
| ( midp @ X3 @ X1 @ X4 ) ),
inference(cnf,[status(esa)],[ruleD45]) ).
thf(zip_derived_cl11538_016,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl11439,zip_derived_cl10296]) ).
thf(zip_derived_cl11572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X3 @ X2 @ X4 )
| ( midp @ X3 @ X1 @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl11538]) ).
thf(zip_derived_cl12468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X1 @ X2 @ X0 )
| ~ ( midp @ X0 @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10247,zip_derived_cl11572]) ).
thf(zip_derived_cl12961,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl12856,zip_derived_cl12468]) ).
thf(zip_derived_cl12856_017,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl12835,zip_derived_cl10257]) ).
thf(zip_derived_cl44_018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( midp @ X3 @ X1 @ X4 )
| ( para @ X0 @ X3 @ X2 @ X4 ) ),
inference(cnf,[status(esa)],[ruleD44]) ).
thf(zip_derived_cl12954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( para @ X1 @ X3 @ X0 @ X2 )
| ~ ( midp @ X3 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12856,zip_derived_cl44]) ).
thf(zip_derived_cl13321,plain,
! [X0: $i,X1: $i,X2: $i] : ( para @ X2 @ X1 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl12961,zip_derived_cl12954]) ).
thf(zip_derived_cl10247_019,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl10227,zip_derived_cl3]) ).
thf(zip_derived_cl5_020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( para @ X2 @ X3 @ X4 @ X5 )
| ( para @ X0 @ X1 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD6]) ).
thf(zip_derived_cl11686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( para @ X0 @ X1 @ X3 @ X2 )
| ~ ( para @ X1 @ X0 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10247,zip_derived_cl5]) ).
thf(zip_derived_cl13381,plain,
! [X0: $i,X1: $i,X2: $i] : ( para @ X1 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl13321,zip_derived_cl11686]) ).
thf(zip_derived_cl64_021,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_cl13710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( midp @ X3 @ X0 @ X2 )
| ~ ( midp @ X3 @ X1 @ X1 )
| ~ ( para @ X1 @ X0 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13381,zip_derived_cl64]) ).
thf(zip_derived_cl12856_022,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl12835,zip_derived_cl10257]) ).
thf(zip_derived_cl13381_023,plain,
! [X0: $i,X1: $i,X2: $i] : ( para @ X1 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl13321,zip_derived_cl11686]) ).
thf(zip_derived_cl13769,plain,
! [X0: $i,X2: $i,X3: $i] : ( midp @ X3 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl13710,zip_derived_cl12856,zip_derived_cl13381]) ).
thf(zip_derived_cl13769_024,plain,
! [X0: $i,X2: $i,X3: $i] : ( midp @ X3 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl13710,zip_derived_cl12856,zip_derived_cl13381]) ).
thf(zip_derived_cl14023,plain,
! [X0: $i,X2: $i,X3: $i,X4: $i] : ( para @ X0 @ X3 @ X2 @ X4 ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl13769,zip_derived_cl13769]) ).
thf(zip_derived_cl14104,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl14023]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO653+1 : TPTP v9.2.0. Released v7.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h7KNmWYoYO true
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 17:41:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 13.61/2.58 % Solved by fo/fo5.sh.
% 13.61/2.58 % done 7878 iterations in 1.818s
% 13.61/2.58 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.61/2.58 % SZS output start Refutation
% See solution above
% 13.61/2.58
% 13.61/2.58
% 13.61/2.58 % Terminating...
% 14.15/2.64 % Runner terminated.
% 14.15/2.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------