%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO638+1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6YDTpvgMUf 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 04:35:07 PM UTC 2025
% Result : Theorem 13.07s 2.48s
% Output : Refutation 13.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 112 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 221 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 1026 ( 60 ~; 58 |; 27 &; 857 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 7 con; 0-8 aty)
% Number of variables : 336 ( 0 ^; 336 !; 0 ?; 336 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__27_type,type,
sk__27: $i ).
thf(sk__24_type,type,
sk__24: $i ).
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(sk__25_type,type,
sk__25: $i ).
thf(cong_type,type,
cong: $i > $i > $i > $i > $o ).
thf(midp_type,type,
midp: $i > $i > $i > $o ).
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__20_type,type,
sk__20: $i ).
thf(sk__21_type,type,
sk__21: $i ).
thf(coll_type,type,
coll: $i > $i > $i > $o ).
thf(para_type,type,
para: $i > $i > $i > $i > $o ).
thf(exemplo6GDDFULL81109104,conjecture,
! [A: $i,B: $i,E: $i,G: $i,D: $i,C: $i,F: $i,H: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i] :
( ( ( midp @ E @ A @ B )
& ( circle @ E @ A @ NWPNT1 @ NWPNT2 )
& ( circle @ E @ A @ G @ NWPNT3 )
& ( perp @ E @ G @ G @ D )
& ( para @ A @ D @ C @ B )
& ( coll @ C @ G @ D )
& ( midp @ F @ C @ D )
& ( perp @ H @ F @ A @ B )
& ( coll @ H @ A @ B ) )
=> ( perp @ C @ H @ D @ H ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,E: $i,G: $i,D: $i,C: $i,F: $i,H: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i] :
( ( ( midp @ E @ A @ B )
& ( circle @ E @ A @ NWPNT1 @ NWPNT2 )
& ( circle @ E @ A @ G @ NWPNT3 )
& ( perp @ E @ G @ G @ D )
& ( para @ A @ D @ C @ B )
& ( coll @ C @ G @ D )
& ( midp @ F @ C @ D )
& ( perp @ H @ F @ A @ B )
& ( coll @ H @ A @ B ) )
=> ( perp @ C @ H @ D @ H ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL81109104]) ).
thf(zip_derived_cl122,plain,
~ ( perp @ sk__25 @ sk__27 @ sk__24 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114,plain,
midp @ sk__22 @ sk__20 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_001,plain,
midp @ sk__22 @ sk__20 @ sk__21,
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_cl131,plain,
midp @ sk__22 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl114,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_cl1539,plain,
cong @ sk__22 @ sk__21 @ sk__22 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl131,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_cl446,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_cl1573,plain,
circle @ sk__22 @ sk__21 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl1539,zip_derived_cl446]) ).
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_cl1596,plain,
( ~ ( coll @ sk__22 @ sk__21 @ sk__20 )
| ( perp @ sk__21 @ sk__20 @ sk__20 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1573,zip_derived_cl53]) ).
thf(zip_derived_cl131_002,plain,
midp @ sk__22 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl114,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_cl144,plain,
coll @ sk__22 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl69]) ).
thf(zip_derived_cl1597,plain,
perp @ sk__21 @ sk__20 @ sk__20 @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl1596,zip_derived_cl144]) ).
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_cl1632,plain,
perp @ sk__20 @ sk__20 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl1597,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_cl1681,plain,
perp @ sk__20 @ sk__20 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl1632,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_cl1758,plain,
! [X0: $i] :
( ( cong @ sk__20 @ X0 @ sk__20 @ X0 )
| ~ ( midp @ X0 @ sk__20 @ sk__21 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1681,zip_derived_cl52]) ).
thf(zip_derived_cl1972,plain,
cong @ sk__20 @ sk__22 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl1758]) ).
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_cl6390,plain,
( ~ ( coll @ sk__20 @ sk__22 @ sk__22 )
| ( midp @ sk__20 @ sk__22 @ sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1972,zip_derived_cl67]) ).
thf(zip_derived_cl144_003,plain,
coll @ sk__22 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl69]) ).
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_cl167,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_cl192,plain,
coll @ sk__20 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl167]) ).
thf(zip_derived_cl167_004,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_cl272,plain,
coll @ sk__22 @ sk__22 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl167]) ).
thf(ruleD1,axiom,
! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ A @ C @ B ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl371,plain,
coll @ sk__22 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl272,zip_derived_cl0]) ).
thf(ruleD2,axiom,
! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ B @ A @ C ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl489,plain,
coll @ sk__20 @ sk__22 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl1]) ).
thf(zip_derived_cl6405,plain,
midp @ sk__20 @ sk__22 @ sk__22,
inference(demod,[status(thm)],[zip_derived_cl6390,zip_derived_cl489]) ).
thf(zip_derived_cl117,plain,
para @ sk__20 @ sk__24 @ sk__25 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl209,plain,
para @ sk__20 @ sk__24 @ sk__21 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl3]) ).
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_cl917,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__24 @ X1 @ X0 @ sk__21 @ sk__25 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl209,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_cl935,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__24 @ X1 @ X0 @ sk__21 @ sk__25 ),
inference('sup-',[status(thm)],[zip_derived_cl917,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_cl1170,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ X1 @ X0 @ sk__20 @ sk__24 @ sk__21 @ sk__25 ),
inference('sup-',[status(thm)],[zip_derived_cl935,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_cl7130,plain,
! [X0: $i,X1: $i] :
( ~ ( para @ sk__20 @ sk__24 @ sk__21 @ sk__25 )
| ( para @ X1 @ X0 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1170,zip_derived_cl73]) ).
thf(zip_derived_cl209_005,plain,
para @ sk__20 @ sk__24 @ sk__21 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl3]) ).
thf(zip_derived_cl7146,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl7130,zip_derived_cl209]) ).
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_cl1462,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_cl7162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7146,zip_derived_cl1462]) ).
thf(zip_derived_cl7550,plain,
! [X0: $i] : ( midp @ sk__20 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl6405,zip_derived_cl7162]) ).
thf(zip_derived_cl68_006,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X0 @ X1 @ X0 @ X2 )
| ~ ( midp @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD68]) ).
thf(zip_derived_cl7556,plain,
! [X0: $i] : ( cong @ sk__20 @ X0 @ sk__20 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl7550,zip_derived_cl68]) ).
thf(zip_derived_cl446_007,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_cl8009,plain,
! [X0: $i] : ( circle @ sk__20 @ X0 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl7556,zip_derived_cl446]) ).
thf(zip_derived_cl53_008,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_cl7146_009,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl7130,zip_derived_cl209]) ).
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_cl7156,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl7146,zip_derived_cl66]) ).
thf(zip_derived_cl167_010,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_cl7186,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl7156,zip_derived_cl167]) ).
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_cl7493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X2 @ X1 )
| ~ ( coll @ X1 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7186,zip_derived_cl2]) ).
thf(zip_derived_cl7186_012,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl7156,zip_derived_cl167]) ).
thf(zip_derived_cl7506,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl7493,zip_derived_cl7186]) ).
thf(zip_derived_cl7536,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_cl7506]) ).
thf(zip_derived_cl13839,plain,
! [X0: $i] : ( perp @ X0 @ X0 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl8009,zip_derived_cl7536]) ).
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_cl7556_013,plain,
! [X0: $i] : ( cong @ sk__20 @ X0 @ sk__20 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl7550,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_cl8007,plain,
! [X0: $i,X1: $i] :
( ( perp @ sk__20 @ sk__20 @ X0 @ X1 )
| ~ ( cong @ sk__20 @ X1 @ sk__20 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7556,zip_derived_cl56]) ).
thf(zip_derived_cl7556_014,plain,
! [X0: $i] : ( cong @ sk__20 @ X0 @ sk__20 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl7550,zip_derived_cl68]) ).
thf(zip_derived_cl8013,plain,
! [X0: $i,X1: $i] : ( perp @ sk__20 @ sk__20 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl8007,zip_derived_cl7556]) ).
thf(zip_derived_cl7_015,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_cl9168,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ sk__20 @ sk__20 ),
inference('sup-',[status(thm)],[zip_derived_cl8013,zip_derived_cl7]) ).
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_cl13403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( para @ X1 @ X0 @ X3 @ X2 )
| ~ ( perp @ sk__20 @ sk__20 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9168,zip_derived_cl8]) ).
thf(zip_derived_cl8013_016,plain,
! [X0: $i,X1: $i] : ( perp @ sk__20 @ sk__20 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl8007,zip_derived_cl7556]) ).
thf(zip_derived_cl13441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl13403,zip_derived_cl8013]) ).
thf(zip_derived_cl13460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( perp @ X2 @ X3 @ X4 @ X5 )
| ( perp @ X0 @ X1 @ X4 @ X5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl13441]) ).
thf(zip_derived_cl14149,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X2 @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl13839,zip_derived_cl13460]) ).
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_cl14184,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X0 @ X0 @ X2 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl14149,zip_derived_cl7]) ).
thf(zip_derived_cl13460_018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( perp @ X2 @ X3 @ X4 @ X5 )
| ( perp @ X0 @ X1 @ X4 @ X5 ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl13441]) ).
thf(zip_derived_cl14209,plain,
! [X0: $i,X1: $i,X3: $i,X4: $i] : ( perp @ X4 @ X3 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl14184,zip_derived_cl13460]) ).
thf(zip_derived_cl14225,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl14209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO638+1 : TPTP v9.2.0. Released v7.5.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6YDTpvgMUf true
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:33:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 13.07/2.48 % Solved by fo/fo5.sh.
% 13.07/2.48 % done 5453 iterations in 1.703s
% 13.07/2.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.07/2.48 % SZS output start Refutation
% See solution above
% 13.07/2.48
% 13.07/2.48
% 13.07/2.48 % Terminating...
% 13.67/2.56 % Runner terminated.
% 13.67/2.57 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------