%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO646+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.YAUcQii5RW true
% Computer : n022.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 04:35:08 PM UTC 2025
% Result : Theorem 6.66s 1.54s
% Output : Refutation 6.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 22
% Syntax : Number of formulae : 122 ( 49 unt; 0 typ; 0 def)
% Number of atoms : 247 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 1132 ( 73 ~; 71 |; 31 &; 934 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 6 con; 0-8 aty)
% Number of variables : 378 ( 0 ^; 378 !; 0 ?; 378 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__21_type,type,
sk__21: $i ).
thf(perp_type,type,
perp: $i > $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__27_type,type,
sk__27: $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(circle_type,type,
circle: $i > $i > $i > $i > $o ).
thf(eqangle_type,type,
eqangle: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(sk__25_type,type,
sk__25: $i ).
thf(coll_type,type,
coll: $i > $i > $i > $o ).
thf(para_type,type,
para: $i > $i > $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i ).
thf(exemplo6GDDFULLmoreE0133,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i] :
( ( ( circle @ A @ B @ NWPNT1 @ NWPNT2 )
& ( perp @ A @ B @ B @ D )
& ( circle @ A @ B @ C @ NWPNT3 )
& ( perp @ A @ C @ C @ D )
& ( circle @ A @ B @ E @ NWPNT4 )
& ( coll @ F @ D @ E )
& ( circle @ A @ B @ F @ NWPNT5 )
& ( midp @ G @ E @ F )
& ( coll @ C @ G @ H )
& ( circle @ A @ C @ H @ NWPNT6 ) )
=> ( para @ E @ F @ B @ H ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i,NWPNT4: $i,NWPNT5: $i,NWPNT6: $i] :
( ( ( circle @ A @ B @ NWPNT1 @ NWPNT2 )
& ( perp @ A @ B @ B @ D )
& ( circle @ A @ B @ C @ NWPNT3 )
& ( perp @ A @ C @ C @ D )
& ( circle @ A @ B @ E @ NWPNT4 )
& ( coll @ F @ D @ E )
& ( circle @ A @ B @ F @ NWPNT5 )
& ( midp @ G @ E @ F )
& ( coll @ C @ G @ H )
& ( circle @ A @ C @ H @ NWPNT6 ) )
=> ( para @ E @ F @ B @ H ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULLmoreE0133]) ).
thf(zip_derived_cl123,plain,
~ ( para @ sk__24 @ sk__25 @ sk__21 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl121,plain,
midp @ sk__26 @ sk__24 @ sk__25,
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_cl132,plain,
midp @ sk__26 @ sk__25 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl10]) ).
thf(zip_derived_cl121_001,plain,
midp @ sk__26 @ sk__24 @ sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl1595,plain,
cong @ sk__26 @ sk__24 @ sk__26 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl68]) ).
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_cl427,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_cl1616,plain,
circle @ sk__26 @ sk__24 @ sk__25 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl1595,zip_derived_cl427]) ).
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_cl1625,plain,
( ~ ( coll @ sk__26 @ sk__24 @ sk__25 )
| ( perp @ sk__24 @ sk__25 @ sk__25 @ sk__25 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1616,zip_derived_cl53]) ).
thf(zip_derived_cl121_002,plain,
midp @ sk__26 @ sk__24 @ sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD69,axiom,
! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( coll @ A @ B @ C ) ) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( midp @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD69]) ).
thf(zip_derived_cl134,plain,
coll @ sk__26 @ sk__24 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl69]) ).
thf(zip_derived_cl1626,plain,
perp @ sk__24 @ sk__25 @ sk__25 @ sk__25,
inference(demod,[status(thm)],[zip_derived_cl1625,zip_derived_cl134]) ).
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_cl1635,plain,
perp @ sk__25 @ sk__25 @ sk__24 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl1626,zip_derived_cl7]) ).
thf(ruleD7,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ A @ B @ D @ C ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( perp @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD7]) ).
thf(zip_derived_cl1639,plain,
perp @ sk__25 @ sk__25 @ sk__25 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl1635,zip_derived_cl6]) ).
thf(ruleD52,axiom,
! [A: $i,B: $i,C: $i,M: $i] :
( ( ( perp @ A @ B @ B @ C )
& ( midp @ M @ A @ C ) )
=> ( cong @ A @ M @ B @ M ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( perp @ X0 @ X1 @ X1 @ X2 )
| ~ ( midp @ X3 @ X0 @ X2 )
| ( cong @ X0 @ X3 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD52]) ).
thf(zip_derived_cl1645,plain,
! [X0: $i] :
( ( cong @ sk__25 @ X0 @ sk__25 @ X0 )
| ~ ( midp @ X0 @ sk__25 @ sk__24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1639,zip_derived_cl52]) ).
thf(zip_derived_cl2305,plain,
cong @ sk__25 @ sk__26 @ sk__25 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl1645]) ).
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_cl121_003,plain,
midp @ sk__26 @ sk__24 @ sk__25,
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_cl1108,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_cl1113,plain,
para @ sk__26 @ sk__26 @ sk__25 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl1108]) ).
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_cl1215,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__26 @ sk__26 @ X1 @ X0 @ sk__25 @ sk__25 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1113,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_cl1251,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__26 @ sk__26 @ X1 @ X0 @ sk__25 @ sk__25 ),
inference('sup-',[status(thm)],[zip_derived_cl1215,zip_derived_cl18]) ).
thf(ruleD21,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
=> ( eqangle @ A @ B @ P @ Q @ C @ D @ U @ V ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD21]) ).
thf(zip_derived_cl1326,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ X1 @ X0 @ sk__26 @ sk__26 @ sk__25 @ sk__25 ),
inference('sup-',[status(thm)],[zip_derived_cl1251,zip_derived_cl20]) ).
thf(ruleD73,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
& ( para @ P @ Q @ U @ V ) )
=> ( para @ A @ B @ C @ D ) ) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( para @ X4 @ X5 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD73]) ).
thf(zip_derived_cl1723,plain,
! [X0: $i,X1: $i] :
( ~ ( para @ sk__26 @ sk__26 @ sk__25 @ sk__25 )
| ( para @ X1 @ X0 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1326,zip_derived_cl73]) ).
thf(zip_derived_cl1113_004,plain,
para @ sk__26 @ sk__26 @ sk__25 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl1108]) ).
thf(zip_derived_cl1739,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl1723,zip_derived_cl1113]) ).
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_cl1750,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1739,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_cl164,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_cl1756,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl1750,zip_derived_cl164]) ).
thf(zip_derived_cl2_005,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_cl1871,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X2 @ X1 )
| ~ ( coll @ X1 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1756,zip_derived_cl2]) ).
thf(zip_derived_cl1756_006,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl1750,zip_derived_cl164]) ).
thf(zip_derived_cl1874,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl1871,zip_derived_cl1756]) ).
thf(zip_derived_cl1896,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_cl1874]) ).
thf(zip_derived_cl2394,plain,
midp @ sk__25 @ sk__26 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl2305,zip_derived_cl1896]) ).
thf(zip_derived_cl1739_007,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl1723,zip_derived_cl1113]) ).
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_cl1529,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_cl1751,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1739,zip_derived_cl1529]) ).
thf(zip_derived_cl2435,plain,
! [X0: $i] : ( midp @ sk__25 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2394,zip_derived_cl1751]) ).
thf(zip_derived_cl1739_008,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl1723,zip_derived_cl1113]) ).
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_cl1874_009,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl1871,zip_derived_cl1756]) ).
thf(zip_derived_cl1892,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_cl1874]) ).
thf(zip_derived_cl2330,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X0 @ X2 @ X0 )
| ~ ( midp @ X1 @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1739,zip_derived_cl1892]) ).
thf(zip_derived_cl2449,plain,
! [X0: $i] : ( midp @ X0 @ sk__25 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2435,zip_derived_cl2330]) ).
thf(zip_derived_cl68_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X0 @ X1 @ X0 @ X2 )
| ~ ( midp @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD68]) ).
thf(zip_derived_cl2474,plain,
! [X0: $i] : ( cong @ X0 @ sk__25 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2449,zip_derived_cl68]) ).
thf(zip_derived_cl427_011,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_cl3345,plain,
! [X0: $i] : ( circle @ X0 @ sk__25 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2474,zip_derived_cl427]) ).
thf(zip_derived_cl53_012,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_cl1874_013,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl1871,zip_derived_cl1756]) ).
thf(zip_derived_cl1894,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_cl1874]) ).
thf(zip_derived_cl3418,plain,
! [X0: $i] : ( perp @ sk__25 @ X0 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3345,zip_derived_cl1894]) ).
thf(zip_derived_cl1739_014,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl1723,zip_derived_cl1113]) ).
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_cl1746,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl1739,zip_derived_cl3]) ).
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_cl1903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X3 @ X2 )
| ~ ( perp @ X1 @ X0 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1746,zip_derived_cl9]) ).
thf(zip_derived_cl3511,plain,
! [X0: $i] : ( perp @ X0 @ sk__25 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3418,zip_derived_cl1903]) ).
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_cl3536,plain,
! [X0: $i] :
( ( cong @ X0 @ X0 @ X0 @ X0 )
| ~ ( midp @ sk__25 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3511,zip_derived_cl55]) ).
thf(zip_derived_cl2435_015,plain,
! [X0: $i] : ( midp @ sk__25 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2394,zip_derived_cl1751]) ).
thf(zip_derived_cl3541,plain,
! [X0: $i] : ( cong @ X0 @ X0 @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl3536,zip_derived_cl2435]) ).
thf(zip_derived_cl1896_016,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_cl1874]) ).
thf(zip_derived_cl4892,plain,
! [X0: $i] : ( midp @ X0 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3541,zip_derived_cl1896]) ).
thf(zip_derived_cl1751_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1739,zip_derived_cl1529]) ).
thf(zip_derived_cl4920,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl4892,zip_derived_cl1751]) ).
thf(zip_derived_cl1746_018,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl1739,zip_derived_cl3]) ).
thf(zip_derived_cl1892_019,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_cl1874]) ).
thf(zip_derived_cl2331,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X1 @ X2 @ X0 )
| ~ ( midp @ X0 @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1746,zip_derived_cl1892]) ).
thf(zip_derived_cl4963,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl4920,zip_derived_cl2331]) ).
thf(zip_derived_cl4920_020,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl4892,zip_derived_cl1751]) ).
thf(zip_derived_cl2435_021,plain,
! [X0: $i] : ( midp @ sk__25 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2394,zip_derived_cl1751]) ).
thf(zip_derived_cl44_022,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_cl2437,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( para @ sk__25 @ X2 @ X0 @ X1 )
| ~ ( midp @ X2 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2435,zip_derived_cl44]) ).
thf(zip_derived_cl4970,plain,
! [X0: $i,X1: $i] : ( para @ sk__25 @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl4920,zip_derived_cl2437]) ).
thf(zip_derived_cl1892_023,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_cl1874]) ).
thf(zip_derived_cl6290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X1 @ X2 @ X0 )
| ~ ( midp @ sk__25 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4970,zip_derived_cl1892]) ).
thf(zip_derived_cl6296,plain,
! [X0: $i,X1: $i] : ( midp @ X1 @ sk__25 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl4963,zip_derived_cl6290]) ).
thf(zip_derived_cl44_024,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_cl6348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( para @ X1 @ X3 @ X0 @ X2 )
| ~ ( midp @ X3 @ sk__25 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6296,zip_derived_cl44]) ).
thf(zip_derived_cl6296_025,plain,
! [X0: $i,X1: $i] : ( midp @ X1 @ sk__25 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl4963,zip_derived_cl6290]) ).
thf(zip_derived_cl6372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X3 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl6348,zip_derived_cl6296]) ).
thf(zip_derived_cl6605,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl6372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO646+1 : TPTP v9.2.0. Released v7.5.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YAUcQii5RW true
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 17:38:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/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
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.66/1.54 % Solved by fo/fo5.sh.
% 6.66/1.54 % done 2913 iterations in 0.773s
% 6.66/1.54 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.66/1.54 % SZS output start Refutation
% See solution above
% 6.66/1.54
% 6.66/1.54
% 6.66/1.54 % Terminating...
% 7.16/1.64 % Runner terminated.
% 7.16/1.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------