TSTP Solution File: GEO615+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO615+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.9hNcsn4fZO true
% Computer : n026.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 23:59:26 EDT 2023
% Result : Theorem 16.90s 3.01s
% Output : Refutation 16.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 44
% Syntax : Number of formulae : 170 ( 53 unt; 16 typ; 0 def)
% Number of atoms : 339 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1853 ( 123 ~; 115 |; 38 &;1545 @)
% ( 0 <=>; 29 =>; 3 <=; 0 <~>)
% Maximal formula depth : 29 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 37 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 8 con; 0-8 aty)
% Number of variables : 619 ( 0 ^; 619 !; 0 ?; 619 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__20_type,type,
sk__20: $i ).
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf(midpoint_type,type,
midpoint: $i > $i > $i > $o ).
thf(cong_type,type,
cong: $i > $i > $i > $i > $o ).
thf(midp_type,type,
midp: $i > $i > $i > $o ).
thf(sk__26_type,type,
sk__26: $i ).
thf(sk__25_type,type,
sk__25: $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__24_type,type,
sk__24: $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__21_type,type,
sk__21: $i ).
thf(exemplo6GDDFULL618077,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i] :
( ( ( eqangle @ D @ A @ A @ B @ D @ A @ A @ C )
& ( eqangle @ D @ B @ B @ C @ D @ B @ B @ A )
& ( eqangle @ D @ C @ C @ A @ D @ C @ C @ B )
& ( midpoint @ NWPNT1 @ B @ D )
& ( perp @ B @ D @ NWPNT1 @ E )
& ( perp @ A @ B @ B @ E )
& ( circle @ E @ B @ NWPNT2 @ NWPNT3 )
& ( coll @ F @ A @ C )
& ( circle @ E @ B @ F @ NWPNT4 )
& ( circle @ E @ F @ G @ NWPNT5 )
& ( coll @ G @ F @ A ) )
=> ( eqangle @ F @ D @ D @ C @ C @ D @ D @ G ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i] :
( ( ( eqangle @ D @ A @ A @ B @ D @ A @ A @ C )
& ( eqangle @ D @ B @ B @ C @ D @ B @ B @ A )
& ( eqangle @ D @ C @ C @ A @ D @ C @ C @ B )
& ( midpoint @ NWPNT1 @ B @ D )
& ( perp @ B @ D @ NWPNT1 @ E )
& ( perp @ A @ B @ B @ E )
& ( circle @ E @ B @ NWPNT2 @ NWPNT3 )
& ( coll @ F @ A @ C )
& ( circle @ E @ B @ F @ NWPNT4 )
& ( circle @ E @ F @ G @ NWPNT5 )
& ( coll @ G @ F @ A ) )
=> ( eqangle @ F @ D @ D @ C @ C @ D @ D @ G ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL618077]) ).
thf(zip_derived_cl124,plain,
~ ( eqangle @ sk__25 @ sk__23 @ sk__23 @ sk__22 @ sk__22 @ sk__23 @ sk__23 @ sk__26 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD46,axiom,
! [A: $i,B: $i,O: $i] :
( ( cong @ O @ A @ O @ B )
=> ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B ) ) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( eqangle @ X0 @ X1 @ X1 @ X2 @ X1 @ X2 @ X0 @ X2 )
| ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD46]) ).
thf(ruleD22,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
& ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
=> ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( eqangle @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 )
| ( eqangle @ X0 @ X1 @ X2 @ X3 @ X8 @ X9 @ X10 @ X11 ) ),
inference(cnf,[status(esa)],[ruleD22]) ).
thf(zip_derived_cl757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( cong @ X1 @ X2 @ X1 @ X0 )
| ~ ( eqangle @ X2 @ X0 @ X1 @ X0 @ X6 @ X5 @ X4 @ X3 )
| ( eqangle @ X1 @ X2 @ X2 @ X0 @ X6 @ X5 @ X4 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl21]) ).
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_cl40,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_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_cl687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
| ( cong @ X2 @ X0 @ X2 @ X0 )
| ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
| ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
| ~ ( cyclic @ X2 @ X0 @ X3 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl43]) ).
thf(zip_derived_cl688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cyclic @ X2 @ X0 @ X3 @ X2 )
| ~ ( cyclic @ X2 @ X0 @ X3 @ X0 )
| ( cong @ X2 @ X0 @ X2 @ X0 )
| ~ ( cyclic @ X2 @ X0 @ X3 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl687]) ).
thf(zip_derived_cl3970,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cyclic @ X0 @ X2 @ X1 @ X0 )
| ~ ( cyclic @ X0 @ X2 @ X1 @ X2 )
| ( cong @ X0 @ X2 @ X0 @ X2 ) ),
inference(condensation,[status(thm)],[zip_derived_cl688]) ).
thf(zip_derived_cl3971,plain,
! [X0: $i,X1: $i] :
( ( cong @ X0 @ X0 @ X0 @ X0 )
| ~ ( cyclic @ X0 @ X0 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl3970]) ).
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(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_cl640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( coll @ X1 @ X1 @ X0 )
| ( cyclic @ X2 @ X0 @ X1 @ X1 )
| ~ ( para @ X1 @ X2 @ X1 @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl39]) ).
thf(zip_derived_cl39_001,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_cl583,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('s_sup-',[status(thm)],[zip_derived_cl39,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_cl3169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( para @ X1 @ X0 @ X1 @ X0 )
| ( para @ X3 @ X2 @ X3 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl583,zip_derived_cl38]) ).
thf(zip_derived_cl4388,plain,
( ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 )
<= ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ) ),
inference(split,[status(esa)],[zip_derived_cl3169]) ).
thf(zip_derived_cl119,plain,
perp @ sk__20 @ sk__21 @ sk__21 @ sk__24,
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_cl330,plain,
! [X0: $i,X1: $i] :
( ~ ( perp @ sk__21 @ sk__24 @ X1 @ X0 )
| ( para @ sk__20 @ sk__21 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl8]) ).
thf(zip_derived_cl4389,plain,
( ! [X0: $i,X1: $i] :
~ ( para @ X1 @ X0 @ X1 @ X0 )
<= ! [X0: $i,X1: $i] :
~ ( para @ X1 @ X0 @ X1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl3169]) ).
thf(zip_derived_cl4425,plain,
( ~ ( perp @ sk__21 @ sk__24 @ sk__20 @ sk__21 )
<= ! [X0: $i,X1: $i] :
~ ( para @ X1 @ X0 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl330,zip_derived_cl4389]) ).
thf(zip_derived_cl119_002,plain,
perp @ sk__20 @ sk__21 @ sk__21 @ sk__24,
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_cl332,plain,
perp @ sk__21 @ sk__24 @ sk__20 @ sk__21,
inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl7]) ).
thf('0',plain,
~ ! [X0: $i,X1: $i] :
~ ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl4425,zip_derived_cl332]) ).
thf('1',plain,
( ! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 )
| ! [X0: $i,X1: $i] :
~ ( para @ X1 @ X0 @ X1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl3169]) ).
thf('2',plain,
! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl4474,plain,
! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl4388,'2']) ).
thf(zip_derived_cl4493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( coll @ X1 @ X1 @ X0 )
| ( cyclic @ X2 @ X0 @ X1 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl640,zip_derived_cl4474]) ).
thf(zip_derived_cl4474_003,plain,
! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl4388,'2']) ).
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_cl4500,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl4474,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_cl146,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_cl4511,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl4500,zip_derived_cl146]) ).
thf(zip_derived_cl2_004,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_cl4809,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( coll @ X1 @ X1 @ X2 )
| ( coll @ X0 @ X2 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4511,zip_derived_cl2]) ).
thf(zip_derived_cl4511_005,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl4500,zip_derived_cl146]) ).
thf(zip_derived_cl4817,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl4809,zip_derived_cl4511]) ).
thf(zip_derived_cl5013,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl4493,zip_derived_cl4817]) ).
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_cl5019,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5013,zip_derived_cl14]) ).
thf(zip_derived_cl5026,plain,
! [X0: $i] : ( cong @ X0 @ X0 @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl3971,zip_derived_cl5019]) ).
thf(ruleD12,axiom,
! [A: $i,B: $i,C: $i,O: $i] :
( ( ( cong @ O @ A @ O @ B )
& ( cong @ O @ A @ O @ C ) )
=> ( circle @ O @ A @ B @ C ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( circle @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X0 @ X1 @ X0 @ X3 )
| ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD12]) ).
thf(zip_derived_cl320,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cong @ X1 @ X2 @ X1 @ X0 )
| ( circle @ X1 @ X2 @ X0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl5063,plain,
! [X0: $i] : ( circle @ X0 @ X0 @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5026,zip_derived_cl320]) ).
thf(ruleD50,axiom,
! [A: $i,B: $i,C: $i,O: $i,M: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( midp @ M @ B @ C ) )
=> ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) ) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
| ~ ( midp @ X4 @ X2 @ X3 )
| ( eqangle @ X1 @ X2 @ X1 @ X3 @ X0 @ X2 @ X0 @ X4 ) ),
inference(cnf,[status(esa)],[ruleD50]) ).
thf(zip_derived_cl43_006,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_cl872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X2 @ X3 )
| ~ ( circle @ X1 @ X4 @ X2 @ X3 )
| ( cong @ X2 @ X3 @ X2 @ X0 )
| ~ ( cyclic @ X2 @ X3 @ X4 @ X0 )
| ~ ( cyclic @ X2 @ X3 @ X4 @ X2 )
| ~ ( cyclic @ X2 @ X3 @ X4 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl43]) ).
thf(zip_derived_cl5019_007,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5013,zip_derived_cl14]) ).
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_cl5031,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X0 @ X2 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5019,zip_derived_cl15]) ).
thf(zip_derived_cl5200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X2 @ X3 )
| ~ ( circle @ X1 @ X4 @ X2 @ X3 )
| ( cong @ X2 @ X3 @ X2 @ X0 )
| ~ ( cyclic @ X2 @ X3 @ X4 @ X0 )
| ~ ( cyclic @ X2 @ X3 @ X4 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl872,zip_derived_cl5031]) ).
thf(zip_derived_cl5201,plain,
! [X0: $i,X1: $i] :
( ~ ( midp @ X1 @ X0 @ X0 )
| ( cong @ X0 @ X0 @ X0 @ X1 )
| ~ ( cyclic @ X0 @ X0 @ X0 @ X1 )
| ~ ( cyclic @ X0 @ X0 @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5063,zip_derived_cl5200]) ).
thf(zip_derived_cl5026_008,plain,
! [X0: $i] : ( cong @ X0 @ X0 @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl3971,zip_derived_cl5019]) ).
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_cl4817_009,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl4809,zip_derived_cl4511]) ).
thf(zip_derived_cl4828,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_cl4817]) ).
thf(zip_derived_cl5051,plain,
! [X0: $i] : ( midp @ X0 @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5026,zip_derived_cl4828]) ).
thf(zip_derived_cl4474_010,plain,
! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl4388,'2']) ).
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_cl4496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4474,zip_derived_cl64]) ).
thf(zip_derived_cl5072,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5051,zip_derived_cl4496]) ).
thf(zip_derived_cl5019_011,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5013,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_cl5029,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5019,zip_derived_cl13]) ).
thf(zip_derived_cl5031_012,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X0 @ X2 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5019,zip_derived_cl15]) ).
thf(zip_derived_cl5205,plain,
! [X0: $i,X1: $i] : ( cong @ X0 @ X0 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl5201,zip_derived_cl5072,zip_derived_cl5029,zip_derived_cl5031]) ).
thf(zip_derived_cl11_013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( circle @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X0 @ X1 @ X0 @ X3 )
| ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD12]) ).
thf(zip_derived_cl5359,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( circle @ X1 @ X1 @ X2 @ X0 )
| ~ ( cong @ X1 @ X1 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5205,zip_derived_cl11]) ).
thf(zip_derived_cl5205_014,plain,
! [X0: $i,X1: $i] : ( cong @ X0 @ X0 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl5201,zip_derived_cl5072,zip_derived_cl5029,zip_derived_cl5031]) ).
thf(zip_derived_cl5374,plain,
! [X0: $i,X1: $i,X2: $i] : ( circle @ X1 @ X1 @ X2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl5359,zip_derived_cl5205]) ).
thf(ruleD53,axiom,
! [A: $i,B: $i,C: $i,O: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( coll @ O @ A @ C ) )
=> ( perp @ A @ B @ B @ C ) ) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X1 @ X2 )
| ~ ( circle @ X3 @ X0 @ X1 @ X2 )
| ~ ( coll @ X3 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD53]) ).
thf(zip_derived_cl4817_015,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl4809,zip_derived_cl4511]) ).
thf(zip_derived_cl4826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X1 @ X2 )
| ~ ( circle @ X3 @ X0 @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl4817]) ).
thf(zip_derived_cl5617,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X2 @ X1 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5374,zip_derived_cl4826]) ).
thf(ruleD55,axiom,
! [A: $i,B: $i,M: $i,O: $i] :
( ( ( midp @ M @ A @ B )
& ( perp @ O @ M @ A @ B ) )
=> ( cong @ O @ A @ O @ B ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( perp @ X3 @ X0 @ X1 @ X2 )
| ( cong @ X3 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD55]) ).
thf(zip_derived_cl6144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X1 @ X1 @ X0 )
| ( cong @ X2 @ X1 @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5617,zip_derived_cl55]) ).
thf(zip_derived_cl5205_016,plain,
! [X0: $i,X1: $i] : ( cong @ X0 @ X0 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl5201,zip_derived_cl5072,zip_derived_cl5029,zip_derived_cl5031]) ).
thf(zip_derived_cl4828_017,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_cl4817]) ).
thf(zip_derived_cl5360,plain,
! [X0: $i,X1: $i] : ( midp @ X1 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5205,zip_derived_cl4828]) ).
thf(zip_derived_cl6147,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl6144,zip_derived_cl5360]) ).
thf(zip_derived_cl7817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( eqangle @ X2 @ X0 @ X1 @ X0 @ X6 @ X5 @ X4 @ X3 )
| ( eqangle @ X1 @ X2 @ X2 @ X0 @ X6 @ X5 @ X4 @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl757,zip_derived_cl6147]) ).
thf(zip_derived_cl583_018,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('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl18]) ).
thf(zip_derived_cl5072_019,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5051,zip_derived_cl4496]) ).
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_cl5074,plain,
! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5072,zip_derived_cl68]) ).
thf(zip_derived_cl320_020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cong @ X1 @ X2 @ X1 @ X0 )
| ( circle @ X1 @ X2 @ X0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl5166,plain,
! [X0: $i,X1: $i] : ( circle @ X1 @ X0 @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5074,zip_derived_cl320]) ).
thf(zip_derived_cl4474_021,plain,
! [X2: $i,X3: $i] : ( para @ X3 @ X2 @ X3 @ X2 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl4388,'2']) ).
thf(zip_derived_cl39_022,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(ruleD49,axiom,
! [A: $i,B: $i,C: $i,O: $i,X: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) )
=> ( perp @ O @ A @ A @ X ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X1 @ X4 @ X1 @ X2 @ X3 @ X1 @ X3 @ X2 )
| ( perp @ X0 @ X1 @ X1 @ X4 ) ),
inference(cnf,[status(esa)],[ruleD49]) ).
thf(zip_derived_cl841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( para @ X1 @ X2 @ X1 @ X1 )
| ~ ( circle @ X3 @ X1 @ X0 @ X1 )
| ( perp @ X3 @ X1 @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl49]) ).
thf(zip_derived_cl4877,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( circle @ X2 @ X0 @ X1 @ X0 )
| ( perp @ X2 @ X0 @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4474,zip_derived_cl841]) ).
thf(zip_derived_cl5307,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5166,zip_derived_cl4877]) ).
thf(zip_derived_cl8_023,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_cl5489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( perp @ X0 @ X0 @ X3 @ X2 )
| ( para @ X1 @ X0 @ X3 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5307,zip_derived_cl8]) ).
thf(zip_derived_cl5074_024,plain,
! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5072,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_cl5159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cong @ X1 @ X2 @ X1 @ X2 )
| ( perp @ X1 @ X1 @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5074,zip_derived_cl56]) ).
thf(zip_derived_cl5074_025,plain,
! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5072,zip_derived_cl68]) ).
thf(zip_derived_cl5168,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl5159,zip_derived_cl5074]) ).
thf(zip_derived_cl5497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl5489,zip_derived_cl5168]) ).
thf(zip_derived_cl6709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X1 @ X0 @ X5 @ X4 @ X1 @ X0 @ X3 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl583,zip_derived_cl5497]) ).
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_cl8536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : ( eqangle @ X3 @ X2 @ X3 @ X2 @ X5 @ X4 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl6709,zip_derived_cl20]) ).
thf(ruleD54,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( cyclic @ A @ B @ C @ D )
& ( para @ A @ B @ C @ D ) )
=> ( eqangle @ A @ D @ C @ D @ C @ D @ C @ B ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eqangle @ X0 @ X1 @ X2 @ X1 @ X2 @ X1 @ X2 @ X3 )
| ~ ( para @ X0 @ X3 @ X2 @ X1 )
| ~ ( cyclic @ X0 @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD54]) ).
thf(zip_derived_cl21_026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( eqangle @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 )
| ( eqangle @ X0 @ X1 @ X2 @ X3 @ X8 @ X9 @ X10 @ X11 ) ),
inference(cnf,[status(esa)],[ruleD22]) ).
thf(zip_derived_cl943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( cyclic @ X3 @ X0 @ X1 @ X2 )
| ~ ( para @ X3 @ X0 @ X1 @ X2 )
| ~ ( eqangle @ X1 @ X2 @ X1 @ X0 @ X7 @ X6 @ X5 @ X4 )
| ( eqangle @ X3 @ X2 @ X1 @ X2 @ X7 @ X6 @ X5 @ X4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl21]) ).
thf(zip_derived_cl5029_027,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5019,zip_derived_cl13]) ).
thf(zip_derived_cl15_028,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_cl5083,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5029,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_cl5207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cyclic @ X1 @ X2 @ X1 @ X3 )
| ( cyclic @ X2 @ X1 @ X0 @ X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5083,zip_derived_cl16]) ).
thf(zip_derived_cl5083_029,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5029,zip_derived_cl15]) ).
thf(zip_derived_cl5213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl5207,zip_derived_cl5083]) ).
thf(zip_derived_cl5444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( para @ X3 @ X0 @ X1 @ X2 )
| ~ ( eqangle @ X1 @ X2 @ X1 @ X0 @ X7 @ X6 @ X5 @ X4 )
| ( eqangle @ X3 @ X2 @ X1 @ X2 @ X7 @ X6 @ X5 @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl943,zip_derived_cl5213]) ).
thf(zip_derived_cl5497_030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl5489,zip_derived_cl5168]) ).
thf(zip_derived_cl9194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( eqangle @ X1 @ X2 @ X1 @ X0 @ X7 @ X6 @ X5 @ X4 )
| ( eqangle @ X3 @ X2 @ X1 @ X2 @ X7 @ X6 @ X5 @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl5444,zip_derived_cl5497]) ).
thf(zip_derived_cl9206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ( eqangle @ X6 @ X4 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl8536,zip_derived_cl9194]) ).
thf(zip_derived_cl10574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : ( eqangle @ X1 @ X2 @ X2 @ X0 @ X6 @ X5 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl7817,zip_derived_cl9206]) ).
thf(zip_derived_cl10575,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl10574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO615+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.9hNcsn4fZO true
% 0.17/0.35 % Computer : n026.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue Aug 29 19:38:20 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.34/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.34/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.34/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 16.90/3.01 % Solved by fo/fo1_av.sh.
% 16.90/3.01 % done 3965 iterations in 2.245s
% 16.90/3.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.90/3.01 % SZS output start Refutation
% See solution above
% 16.90/3.01
% 16.90/3.01
% 16.90/3.01 % Terminating...
% 16.90/3.10 % Runner terminated.
% 16.90/3.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------