%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO552+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.TulnNdlauK true
% Computer : n029.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 04:34:54 PM UTC 2025
% Result : Theorem 6.52s 1.48s
% Output : Refutation 6.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 24
% Syntax : Number of formulae : 125 ( 49 unt; 0 typ; 0 def)
% Number of atoms : 251 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1184 ( 76 ~; 74 |; 27 &; 982 @)
% ( 0 <=>; 25 =>; 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 : 15 ( 14 usr; 7 con; 0-8 aty)
% Number of variables : 396 ( 0 ^; 395 !; 1 ?; 396 :)
% Comments :
%------------------------------------------------------------------------------
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
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(sk__24_type,type,
sk__24: $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__26_type,type,
sk__26: $i ).
thf(sk__22_type,type,
sk__22: $i ).
thf(sk__25_type,type,
sk__25: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(coll_type,type,
coll: $i > $i > $i > $o ).
thf(para_type,type,
para: $i > $i > $i > $i > $o ).
thf(exemplo6GDDFULL012012,conjecture,
! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,F: $i,NWPNT1: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( perp @ A @ C @ B @ D )
& ( circle @ O @ A @ D @ NWPNT1 )
& ( coll @ E @ A @ C )
& ( coll @ E @ B @ D )
& ( midp @ F @ B @ A ) )
=> ( perp @ F @ E @ C @ D ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,F: $i,NWPNT1: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( perp @ A @ C @ B @ D )
& ( circle @ O @ A @ D @ NWPNT1 )
& ( coll @ E @ A @ C )
& ( coll @ E @ B @ D )
& ( midp @ F @ B @ A ) )
=> ( perp @ F @ E @ C @ D ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL012012]) ).
thf(zip_derived_cl119,plain,
~ ( perp @ sk__26 @ sk__25 @ sk__22 @ sk__24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl118,plain,
midp @ sk__26 @ sk__21 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD11,axiom,
! [A: $i,B: $i,M: $i] :
( ( midp @ M @ B @ A )
=> ( midp @ M @ A @ B ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X0 @ X1 @ X2 )
| ~ ( midp @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD11]) ).
thf(zip_derived_cl130,plain,
midp @ sk__26 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl10]) ).
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_cl1075,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_cl1076,plain,
para @ sk__26 @ sk__26 @ sk__21 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl1075]) ).
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_cl1179,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__26 @ sk__26 @ X1 @ X0 @ sk__21 @ sk__21 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1076,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_cl1241,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__26 @ sk__26 @ X1 @ X0 @ sk__21 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl1179,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_cl1317,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ X1 @ X0 @ sk__26 @ sk__26 @ sk__21 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl1241,zip_derived_cl20]) ).
thf(ruleD74,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 )
& ( perp @ P @ Q @ U @ V ) )
=> ( perp @ A @ B @ C @ D ) ) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( perp @ X4 @ X5 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD74]) ).
thf(zip_derived_cl1725,plain,
! [X0: $i,X1: $i] :
( ~ ( perp @ sk__26 @ sk__26 @ sk__21 @ sk__21 )
| ( perp @ X1 @ X0 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1317,zip_derived_cl74]) ).
thf(zip_derived_cl118_001,plain,
midp @ sk__26 @ sk__21 @ sk__20,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl130_002,plain,
midp @ sk__26 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl10]) ).
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_cl1559,plain,
cong @ sk__26 @ sk__20 @ sk__26 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl130,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_cl428,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_cl1580,plain,
circle @ sk__26 @ sk__20 @ sk__21 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl1559,zip_derived_cl428]) ).
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_cl1589,plain,
( ~ ( coll @ sk__26 @ sk__20 @ sk__21 )
| ( perp @ sk__20 @ sk__21 @ sk__21 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1580,zip_derived_cl53]) ).
thf(zip_derived_cl130_003,plain,
midp @ sk__26 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl10]) ).
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_cl141,plain,
coll @ sk__26 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl69]) ).
thf(zip_derived_cl1590,plain,
perp @ sk__20 @ sk__21 @ sk__21 @ sk__21,
inference(demod,[status(thm)],[zip_derived_cl1589,zip_derived_cl141]) ).
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_cl1599,plain,
perp @ sk__21 @ sk__21 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl1590,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_cl1603,plain,
perp @ sk__21 @ sk__21 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl1599,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_cl1609,plain,
! [X0: $i] :
( ( cong @ sk__21 @ X0 @ sk__21 @ X0 )
| ~ ( midp @ X0 @ sk__21 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1603,zip_derived_cl52]) ).
thf(zip_derived_cl2224,plain,
cong @ sk__21 @ sk__26 @ sk__21 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl1609]) ).
thf(zip_derived_cl56_004,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_cl1318,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( perp @ X2 @ X1 @ X0 @ X0 )
| ~ ( cong @ X2 @ X0 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl2264,plain,
perp @ sk__21 @ sk__21 @ sk__26 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl2224,zip_derived_cl1318]) ).
thf(zip_derived_cl7_005,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_cl2335,plain,
perp @ sk__26 @ sk__26 @ sk__21 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl2264,zip_derived_cl7]) ).
thf(zip_derived_cl2346,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl1725,zip_derived_cl2335]) ).
thf(zip_derived_cl6_006,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_cl2398,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl2346,zip_derived_cl6]) ).
thf(zip_derived_cl52_007,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_cl2408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X0 @ X2 @ X1 @ X2 )
| ~ ( midp @ X2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2398,zip_derived_cl52]) ).
thf(zip_derived_cl2224_008,plain,
cong @ sk__21 @ sk__26 @ sk__21 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl1609]) ).
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_cl1317_009,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ X1 @ X0 @ sk__26 @ sk__26 @ sk__21 @ sk__21 ),
inference('sup-',[status(thm)],[zip_derived_cl1241,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_cl1691,plain,
! [X0: $i,X1: $i] :
( ~ ( para @ sk__26 @ sk__26 @ sk__21 @ sk__21 )
| ( para @ X1 @ X0 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1317,zip_derived_cl73]) ).
thf(zip_derived_cl1076_010,plain,
para @ sk__26 @ sk__26 @ sk__21 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl1075]) ).
thf(zip_derived_cl1705,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl1691,zip_derived_cl1076]) ).
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_cl1861,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1705,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_cl166,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_cl1867,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl166]) ).
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_cl2024,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X2 @ X1 )
| ~ ( coll @ X1 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1867,zip_derived_cl2]) ).
thf(zip_derived_cl1867_012,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl1861,zip_derived_cl166]) ).
thf(zip_derived_cl2027,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl2024,zip_derived_cl1867]) ).
thf(zip_derived_cl2033,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_cl2027]) ).
thf(zip_derived_cl2253,plain,
midp @ sk__21 @ sk__26 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl2224,zip_derived_cl2033]) ).
thf(zip_derived_cl1705_013,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl1691,zip_derived_cl1076]) ).
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_cl1492,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_cl1862,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1705,zip_derived_cl1492]) ).
thf(zip_derived_cl2275,plain,
! [X0: $i] : ( midp @ sk__21 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2253,zip_derived_cl1862]) ).
thf(ruleX7,axiom,
! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i,Q: $i] :
? [P: $i] :
( ( ( midp @ M @ A @ B )
& ( midp @ N @ C @ D )
& ( coll @ C @ A @ B )
& ( coll @ D @ A @ B ) )
=> ( midp @ P @ A @ Q ) ) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X3 @ X1 @ X2 )
| ~ ( midp @ X4 @ X3 @ X0 )
| ~ ( midp @ X5 @ X1 @ X2 )
| ( midp @ ( sk__6 @ X6 @ X1 ) @ X1 @ X6 ) ),
inference(cnf,[status(esa)],[ruleX7]) ).
thf(zip_derived_cl2027_014,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl2024,zip_derived_cl1867]) ).
thf(zip_derived_cl2027_015,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl2024,zip_derived_cl1867]) ).
thf(zip_derived_cl2214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( midp @ X4 @ X3 @ X0 )
| ~ ( midp @ X5 @ X1 @ X2 )
| ( midp @ ( sk__6 @ X6 @ X1 ) @ X1 @ X6 ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl2027,zip_derived_cl2027]) ).
thf(zip_derived_cl2215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( midp @ ( sk__6 @ X0 @ X1 ) @ X1 @ X0 )
| ~ ( midp @ X3 @ X1 @ X2 ) ),
inference(condensation,[status(thm)],[zip_derived_cl2214]) ).
thf(zip_derived_cl2288,plain,
! [X0: $i,X1: $i] : ( midp @ ( sk__6 @ X1 @ X0 ) @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl2275,zip_derived_cl2215]) ).
thf(zip_derived_cl2275_016,plain,
! [X0: $i] : ( midp @ sk__21 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2253,zip_derived_cl1862]) ).
thf(zip_derived_cl68_017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X0 @ X1 @ X0 @ X2 )
| ~ ( midp @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD68]) ).
thf(zip_derived_cl2278,plain,
! [X0: $i] : ( cong @ sk__21 @ X0 @ sk__21 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2275,zip_derived_cl68]) ).
thf(zip_derived_cl56_018,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_cl2580,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_cl2278,zip_derived_cl56]) ).
thf(zip_derived_cl2278_019,plain,
! [X0: $i] : ( cong @ sk__21 @ X0 @ sk__21 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2275,zip_derived_cl68]) ).
thf(zip_derived_cl2587,plain,
! [X0: $i,X1: $i] : ( perp @ sk__21 @ sk__21 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl2580,zip_derived_cl2278]) ).
thf(zip_derived_cl2288_020,plain,
! [X0: $i,X1: $i] : ( midp @ ( sk__6 @ X1 @ X0 ) @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl2275,zip_derived_cl2215]) ).
thf(ruleD63,axiom,
! [A: $i,B: $i,C: $i,D: $i,M: $i] :
( ( ( midp @ M @ A @ B )
& ( midp @ M @ C @ D ) )
=> ( para @ A @ C @ B @ D ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( midp @ X4 @ X0 @ X2 )
| ~ ( midp @ X4 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD63]) ).
thf(zip_derived_cl1457,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X0 )
| ( para @ X1 @ X1 @ X0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl2311,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2288,zip_derived_cl1457]) ).
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_cl2325,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_cl2311,zip_derived_cl9]) ).
thf(zip_derived_cl2617,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X2 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2587,zip_derived_cl2325]) ).
thf(zip_derived_cl7_021,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_cl2705,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl2617,zip_derived_cl7]) ).
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_cl2721,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X2 @ X0 @ X2 @ X0 )
| ~ ( midp @ X1 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2705,zip_derived_cl55]) ).
thf(zip_derived_cl2881,plain,
! [X0: $i,X1: $i] : ( cong @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2288,zip_derived_cl2721]) ).
thf(zip_derived_cl2033_022,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_cl2027]) ).
thf(zip_derived_cl3030,plain,
! [X0: $i,X1: $i] : ( midp @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2881,zip_derived_cl2033]) ).
thf(zip_derived_cl3043,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X0 @ X2 @ X1 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl2408,zip_derived_cl3030]) ).
thf(zip_derived_cl3043_023,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X0 @ X2 @ X1 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl2408,zip_derived_cl3030]) ).
thf(zip_derived_cl3109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( perp @ X0 @ X2 @ X1 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl3043,zip_derived_cl3043]) ).
thf(zip_derived_cl3158,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl3109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO552+1 : TPTP v9.2.0. Released v7.5.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TulnNdlauK true
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Oct 1 17:25:38 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % Running portfolio for 300 s
% 0.12/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.46/0.58 % Total configuration time : 435
% 0.46/0.58 % Estimated wc time : 1092
% 0.46/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.52/1.48 % Solved by fo/fo5.sh.
% 6.52/1.48 % done 1832 iterations in 0.736s
% 6.52/1.48 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.52/1.48 % SZS output start Refutation
% See solution above
% 6.52/1.48
% 6.52/1.48
% 6.52/1.48 % Terminating...
% 6.55/1.52 % Runner terminated.
% 6.55/1.54 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------