%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO572+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.wfLABlP5M3 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 : Thu Oct 2 04:34:57 PM UTC 2025
% Result : Theorem 12.87s 2.43s
% Output : Refutation 12.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 20
% Syntax : Number of formulae : 103 ( 41 unt; 0 typ; 0 def)
% Number of atoms : 207 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 999 ( 62 ~; 60 |; 23 &; 833 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 6 con; 0-8 aty)
% Number of variables : 307 ( 0 ^; 307 !; 0 ?; 307 :)
% Comments :
%------------------------------------------------------------------------------
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(cong_type,type,
cong: $i > $i > $i > $i > $o ).
thf(midp_type,type,
midp: $i > $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $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__22_type,type,
sk__22: $i ).
thf(sk__21_type,type,
sk__21: $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__25_type,type,
sk__25: $i ).
thf(exemplo6GDDFULL214034,conjecture,
! [A: $i,B: $i,C: $i,H: $i,O: $i,P: $i,NWPNT1: $i] :
( ( ( perp @ A @ B @ C @ H )
& ( perp @ A @ C @ B @ H )
& ( perp @ B @ C @ A @ H )
& ( perp @ C @ H @ H @ P )
& ( circle @ O @ H @ B @ C )
& ( circle @ O @ B @ P @ NWPNT1 ) )
=> ( para @ A @ H @ B @ P ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,H: $i,O: $i,P: $i,NWPNT1: $i] :
( ( ( perp @ A @ B @ C @ H )
& ( perp @ A @ C @ B @ H )
& ( perp @ B @ C @ A @ H )
& ( perp @ C @ H @ H @ P )
& ( circle @ O @ H @ B @ C )
& ( circle @ O @ B @ P @ NWPNT1 ) )
=> ( para @ A @ H @ B @ P ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL214034]) ).
thf(zip_derived_cl119,plain,
~ ( para @ sk__20 @ sk__23 @ sk__21 @ sk__25 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114,plain,
perp @ sk__20 @ sk__21 @ sk__22 @ sk__23,
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_cl133,plain,
perp @ sk__22 @ sk__23 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl7]) ).
thf(zip_derived_cl114_001,plain,
perp @ sk__20 @ sk__21 @ sk__22 @ sk__23,
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_cl174,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__20 @ sk__21 @ X1 @ X0 )
| ~ ( perp @ sk__22 @ sk__23 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl8]) ).
thf(zip_derived_cl230,plain,
para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl174]) ).
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_cl238,plain,
coll @ sk__20 @ sk__21 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl230,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_cl123,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_cl242,plain,
coll @ sk__21 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl238,zip_derived_cl123]) ).
thf(zip_derived_cl123_002,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_cl250,plain,
coll @ sk__20 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl242,zip_derived_cl123]) ).
thf(zip_derived_cl230_003,plain,
para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl174]) ).
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_cl786,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl230,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_cl861,plain,
! [X0: $i] :
( ~ ( coll @ sk__20 @ sk__20 @ X0 )
| ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl786,zip_derived_cl42]) ).
thf(zip_derived_cl942,plain,
cyclic @ sk__21 @ sk__21 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl861]) ).
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_cl953,plain,
cyclic @ sk__21 @ sk__20 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl942,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_cl1010,plain,
cyclic @ sk__21 @ sk__20 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl953,zip_derived_cl13]) ).
thf(zip_derived_cl786_004,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl230,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_cl880,plain,
! [X0: $i] :
( ~ ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 )
| ~ ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__21 )
| ~ ( cyclic @ sk__21 @ X0 @ sk__20 @ X0 )
| ( cong @ sk__21 @ X0 @ sk__21 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl786,zip_derived_cl43]) ).
thf(zip_derived_cl861_005,plain,
! [X0: $i] :
( ~ ( coll @ sk__20 @ sk__20 @ X0 )
| ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl786,zip_derived_cl42]) ).
thf(zip_derived_cl786_006,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl230,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_cl820,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__21 @ X1 @ X0 @ sk__20 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl786,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_cl4901,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl820,zip_derived_cl38]) ).
thf(zip_derived_cl66_007,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD66]) ).
thf(zip_derived_cl4925,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl4901,zip_derived_cl66]) ).
thf(zip_derived_cl123_008,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_cl5029,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl4925,zip_derived_cl123]) ).
thf(zip_derived_cl5274,plain,
! [X0: $i] : ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl861,zip_derived_cl5029]) ).
thf(zip_derived_cl5940,plain,
! [X0: $i] :
( ~ ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__21 )
| ~ ( cyclic @ sk__21 @ X0 @ sk__20 @ X0 )
| ( cong @ sk__21 @ X0 @ sk__21 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl880,zip_derived_cl5274]) ).
thf(zip_derived_cl5941,plain,
( ( cong @ sk__21 @ sk__20 @ sk__21 @ sk__20 )
| ~ ( cyclic @ sk__21 @ sk__20 @ sk__20 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1010,zip_derived_cl5940]) ).
thf(zip_derived_cl5274_009,plain,
! [X0: $i] : ( cyclic @ sk__21 @ X0 @ sk__20 @ sk__20 ),
inference(demod,[status(thm)],[zip_derived_cl861,zip_derived_cl5029]) ).
thf(zip_derived_cl5946,plain,
cong @ sk__21 @ sk__20 @ sk__21 @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl5941,zip_derived_cl5274]) ).
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_cl5029_010,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl4925,zip_derived_cl123]) ).
thf(zip_derived_cl2_011,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_cl5284,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X2 @ X1 )
| ~ ( coll @ X1 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5029,zip_derived_cl2]) ).
thf(zip_derived_cl5029_012,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl4925,zip_derived_cl123]) ).
thf(zip_derived_cl5289,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl5284,zip_derived_cl5029]) ).
thf(zip_derived_cl5318,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_cl5289]) ).
thf(zip_derived_cl6195,plain,
midp @ sk__21 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl5946,zip_derived_cl5318]) ).
thf(zip_derived_cl4901_013,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl820,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_cl1641,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_cl4931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4901,zip_derived_cl1641]) ).
thf(zip_derived_cl6216,plain,
! [X0: $i] : ( midp @ sk__21 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl6195,zip_derived_cl4931]) ).
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_cl6218,plain,
! [X0: $i] : ( cong @ sk__21 @ X0 @ sk__21 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl6216,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_cl7505,plain,
! [X0: $i,X1: $i] :
( ( perp @ sk__21 @ sk__21 @ X0 @ X1 )
| ~ ( cong @ sk__21 @ X1 @ sk__21 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6218,zip_derived_cl56]) ).
thf(zip_derived_cl6218_014,plain,
! [X0: $i] : ( cong @ sk__21 @ X0 @ sk__21 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl6216,zip_derived_cl68]) ).
thf(zip_derived_cl7511,plain,
! [X0: $i,X1: $i] : ( perp @ sk__21 @ sk__21 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl7505,zip_derived_cl6218]) ).
thf(zip_derived_cl6216_015,plain,
! [X0: $i] : ( midp @ sk__21 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl6195,zip_derived_cl4931]) ).
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_cl902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( para @ X2 @ X2 @ X0 @ X0 )
| ~ ( midp @ X2 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl6225,plain,
! [X0: $i] : ( para @ sk__21 @ sk__21 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl6216,zip_derived_cl902]) ).
thf(zip_derived_cl6225_016,plain,
! [X0: $i] : ( para @ sk__21 @ sk__21 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl6216,zip_derived_cl902]) ).
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_cl6235,plain,
! [X0: $i] : ( para @ X0 @ X0 @ sk__21 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl6225,zip_derived_cl4]) ).
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_cl6241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( para @ X0 @ X0 @ X2 @ X1 )
| ~ ( para @ sk__21 @ sk__21 @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6235,zip_derived_cl5]) ).
thf(zip_derived_cl6676,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl6225,zip_derived_cl6241]) ).
thf(ruleD10,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( para @ A @ B @ C @ D )
& ( perp @ C @ D @ E @ F ) )
=> ( perp @ A @ B @ E @ F ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( perp @ X2 @ X3 @ X4 @ X5 )
| ( perp @ X0 @ X1 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD10]) ).
thf(zip_derived_cl6679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X1 @ X1 @ X3 @ X2 )
| ~ ( perp @ X0 @ X0 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6676,zip_derived_cl9]) ).
thf(zip_derived_cl7564,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X2 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl7511,zip_derived_cl6679]) ).
thf(zip_derived_cl7_017,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_cl7571,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl7564,zip_derived_cl7]) ).
thf(zip_derived_cl8_018,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_cl7636,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_cl7571,zip_derived_cl8]) ).
thf(zip_derived_cl7564_019,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X2 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl7511,zip_derived_cl6679]) ).
thf(zip_derived_cl7700,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl7636,zip_derived_cl7564]) ).
thf(zip_derived_cl7764,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl7700]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO572+1 : TPTP v9.2.0. Released v7.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wfLABlP5M3 true
% 0.12/0.35 % Computer : n018.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 17:30:08 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.36 % Running in FO mode
% 0.47/0.61 % Total configuration time : 435
% 0.47/0.61 % Estimated wc time : 1092
% 0.47/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 12.87/2.43 % Solved by fo/fo5.sh.
% 12.87/2.43 % done 3630 iterations in 1.673s
% 12.87/2.43 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.87/2.43 % SZS output start Refutation
% See solution above
% 12.87/2.43
% 12.87/2.43
% 12.87/2.43 % Terminating...
% 13.11/2.54 % Runner terminated.
% 13.11/2.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------