TSTP Solution File: GEO568+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO568+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xlT8tL12Os true
% Computer : n016.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 23:59:11 EDT 2023
% Result : Theorem 72.18s 11.21s
% Output : Refutation 72.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 38
% Syntax : Number of formulae : 136 ( 42 unt; 14 typ; 0 def)
% Number of atoms : 265 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 1323 ( 88 ~; 86 |; 32 &;1092 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 7 con; 0-8 aty)
% Number of variables : 459 ( 0 ^; 459 !; 0 ?; 459 :)
% Comments :
%------------------------------------------------------------------------------
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i ).
thf(cong_type,type,
cong: $i > $i > $i > $i > $o ).
thf(midp_type,type,
midp: $i > $i > $i > $o ).
thf(sk__25_type,type,
sk__25: $i ).
thf(sk__23_type,type,
sk__23: $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__20_type,type,
sk__20: $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__21_type,type,
sk__21: $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(exemplo6GDDFULL214030,conjecture,
! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,MIDPNT1: $i,MIDPNT2: $i,MIDPNT3: $i] :
( ( ( midp @ MIDPNT1 @ A @ B )
& ( perp @ A @ B @ MIDPNT1 @ O )
& ( midp @ MIDPNT2 @ A @ C )
& ( perp @ A @ C @ MIDPNT2 @ O )
& ( midp @ MIDPNT3 @ B @ C )
& ( perp @ B @ C @ MIDPNT3 @ O )
& ( perp @ D @ C @ A @ B )
& ( coll @ D @ A @ B )
& ( perp @ E @ B @ A @ C )
& ( coll @ E @ A @ C ) )
=> ( perp @ A @ O @ D @ E ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,MIDPNT1: $i,MIDPNT2: $i,MIDPNT3: $i] :
( ( ( midp @ MIDPNT1 @ A @ B )
& ( perp @ A @ B @ MIDPNT1 @ O )
& ( midp @ MIDPNT2 @ A @ C )
& ( perp @ A @ C @ MIDPNT2 @ O )
& ( midp @ MIDPNT3 @ B @ C )
& ( perp @ B @ C @ MIDPNT3 @ O )
& ( perp @ D @ C @ A @ B )
& ( coll @ D @ A @ B )
& ( perp @ E @ B @ A @ C )
& ( coll @ E @ A @ C ) )
=> ( perp @ A @ O @ D @ E ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL214030]) ).
thf(zip_derived_cl111,plain,
~ ( perp @ sk__20 @ sk__23 @ sk__24 @ sk__25 ),
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_cl48,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(ruleD68,axiom,
! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( cong @ A @ B @ A @ C ) ) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X0 @ X1 @ X0 @ X2 )
| ~ ( midp @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD68]) ).
thf(ruleD23,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cong @ A @ B @ C @ D )
=> ( cong @ A @ B @ D @ C ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD23]) ).
thf(zip_derived_cl1417,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X1 @ X2 @ X0 )
| ( cong @ X1 @ X2 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl22]) ).
thf(zip_derived_cl104,plain,
perp @ sk__20 @ sk__21 @ sk__26 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD9,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( perp @ A @ B @ C @ D )
& ( perp @ C @ D @ E @ F ) )
=> ( para @ A @ B @ E @ F ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( perp @ X2 @ X3 @ X4 @ X5 )
| ( para @ X0 @ X1 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD9]) ).
thf(zip_derived_cl882,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__20 @ sk__21 @ X1 @ X0 )
| ~ ( perp @ sk__26 @ sk__23 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl8]) ).
thf(zip_derived_cl104_001,plain,
perp @ sk__20 @ sk__21 @ sk__26 @ sk__23,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD8,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ C @ D @ A @ B ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( perp @ X2 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD8]) ).
thf(zip_derived_cl884,plain,
perp @ sk__26 @ sk__23 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl7]) ).
thf(zip_derived_cl3419,plain,
para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
inference('sup+',[status(thm)],[zip_derived_cl882,zip_derived_cl884]) ).
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_cl31,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_cl1107,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('sup-',[status(thm)],[zip_derived_cl31,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_cl30,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_cl4428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( para @ X1 @ X0 @ X1 @ X0 )
| ( para @ X3 @ X2 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl30]) ).
thf(zip_derived_cl56222,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3419,zip_derived_cl4428]) ).
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_cl35,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_cl31_002,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(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_cl1109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X5 @ X4 @ X3 @ X2 )
| ( eqangle @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl20]) ).
thf(zip_derived_cl4575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cyclic @ X4 @ X2 @ X3 @ X1 )
| ~ ( cyclic @ X4 @ X2 @ X3 @ X0 )
| ~ ( cyclic @ X4 @ X2 @ X3 @ X0 )
| ( cong @ X4 @ X2 @ X0 @ X0 )
| ~ ( para @ X3 @ X4 @ X3 @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1109]) ).
thf(zip_derived_cl4586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( para @ X3 @ X4 @ X3 @ X2 )
| ( cong @ X4 @ X2 @ X0 @ X0 )
| ~ ( cyclic @ X4 @ X2 @ X3 @ X0 )
| ~ ( cyclic @ X4 @ X2 @ X3 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4575]) ).
thf(zip_derived_cl1107_003,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('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).
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_cl34,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X0 @ X1 @ X2 @ X3 )
| ~ ( coll @ X2 @ X3 @ X1 )
| ~ ( eqangle @ X2 @ X0 @ X2 @ X1 @ X3 @ X0 @ X3 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD42b]) ).
thf(zip_derived_cl4430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( para @ X1 @ X0 @ X1 @ X0 )
| ~ ( coll @ X1 @ X1 @ X0 )
| ( cyclic @ X2 @ X0 @ X1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl34]) ).
thf(zip_derived_cl56222_004,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3419,zip_derived_cl4428]) ).
thf(zip_derived_cl56222_005,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3419,zip_derived_cl4428]) ).
thf(ruleD66,axiom,
! [A: $i,B: $i,C: $i] :
( ( para @ A @ B @ A @ C )
=> ( coll @ A @ B @ C ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD66]) ).
thf(zip_derived_cl56242,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl56222,zip_derived_cl54]) ).
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_cl790,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_cl56305,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl56242,zip_derived_cl790]) ).
thf(zip_derived_cl57597,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl4430,zip_derived_cl56222,zip_derived_cl56305]) ).
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_cl57608,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl57597,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_cl58368,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl57608,zip_derived_cl13]) ).
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_cl58508,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl58368,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_cl58641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X2 @ X1 @ X0 @ X3 )
| ~ ( cyclic @ X1 @ X2 @ X1 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl58508,zip_derived_cl16]) ).
thf(zip_derived_cl58508_006,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl58368,zip_derived_cl15]) ).
thf(zip_derived_cl58671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl58641,zip_derived_cl58508]) ).
thf(zip_derived_cl58671_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl58641,zip_derived_cl58508]) ).
thf(zip_derived_cl59058,plain,
! [X0: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( para @ X3 @ X4 @ X3 @ X2 )
| ( cong @ X4 @ X2 @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4586,zip_derived_cl58671,zip_derived_cl58671]) ).
thf(zip_derived_cl59059,plain,
! [X0: $i,X2: $i] : ( cong @ X0 @ X0 @ X2 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl56222,zip_derived_cl59058]) ).
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_cl55,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_cl56305_008,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl56242,zip_derived_cl790]) ).
thf(zip_derived_cl2_009,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_cl57501,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X2 @ X1 )
| ~ ( coll @ X1 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56305,zip_derived_cl2]) ).
thf(zip_derived_cl56305_010,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl56242,zip_derived_cl790]) ).
thf(zip_derived_cl57579,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl57501,zip_derived_cl56305]) ).
thf(zip_derived_cl57661,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X0 @ X1 @ X2 )
| ~ ( cong @ X0 @ X1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl57579]) ).
thf(zip_derived_cl59070,plain,
! [X0: $i] : ( midp @ X0 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl59059,zip_derived_cl57661]) ).
thf(zip_derived_cl56222_011,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3419,zip_derived_cl4428]) ).
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_cl52,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_cl1386,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_cl52]) ).
thf(zip_derived_cl56250,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56222,zip_derived_cl1386]) ).
thf(zip_derived_cl59114,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl59070,zip_derived_cl56250]) ).
thf(zip_derived_cl52_012,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_cl59059_013,plain,
! [X0: $i,X2: $i] : ( cong @ X0 @ X0 @ X2 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl56222,zip_derived_cl59058]) ).
thf(zip_derived_cl1107_014,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('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl18]) ).
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(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_cl41,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_cl728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cong @ X3 @ X2 @ X3 @ X1 )
| ~ ( cong @ X3 @ X2 @ X3 @ X0 )
| ( perp @ X3 @ X2 @ X2 @ X4 )
| ~ ( eqangle @ X2 @ X4 @ X2 @ X1 @ X0 @ X2 @ X0 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl41]) ).
thf(zip_derived_cl4442,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( para @ X1 @ X0 @ X1 @ X0 )
| ( perp @ X2 @ X1 @ X1 @ X1 )
| ~ ( cong @ X2 @ X1 @ X2 @ X1 )
| ~ ( cong @ X2 @ X1 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1107,zip_derived_cl728]) ).
thf(zip_derived_cl56222_015,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3419,zip_derived_cl4428]) ).
thf(zip_derived_cl57872,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( perp @ X2 @ X1 @ X1 @ X1 )
| ~ ( cong @ X2 @ X1 @ X2 @ X1 )
| ~ ( cong @ X2 @ X1 @ X2 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl4442,zip_derived_cl56222]) ).
thf(zip_derived_cl57873,plain,
! [X0: $i,X1: $i] :
( ( perp @ X1 @ X0 @ X0 @ X0 )
| ~ ( cong @ X1 @ X0 @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl57872]) ).
thf(zip_derived_cl59083,plain,
! [X0: $i] : ( perp @ X0 @ X0 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl59059,zip_derived_cl57873]) ).
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_cl44,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_cl59148,plain,
! [X0: $i,X1: $i] :
( ( cong @ X0 @ X1 @ X0 @ X1 )
| ~ ( midp @ X1 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl59083,zip_derived_cl44]) ).
thf(zip_derived_cl59114_016,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl59070,zip_derived_cl56250]) ).
thf(zip_derived_cl59157,plain,
! [X0: $i,X1: $i] : ( cong @ X0 @ X1 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl59148,zip_derived_cl59114]) ).
thf(zip_derived_cl48_017,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_cl59357,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( perp @ X1 @ X1 @ X0 @ X2 )
| ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl59157,zip_derived_cl48]) ).
thf(zip_derived_cl59157_018,plain,
! [X0: $i,X1: $i] : ( cong @ X0 @ X1 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl59148,zip_derived_cl59114]) ).
thf(zip_derived_cl59383,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl59357,zip_derived_cl59157]) ).
thf(zip_derived_cl7_019,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_cl59631,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl59383,zip_derived_cl7]) ).
thf(zip_derived_cl8_020,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_cl59693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( para @ X2 @ X1 @ X4 @ X3 )
| ~ ( perp @ X0 @ X0 @ X4 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl59631,zip_derived_cl8]) ).
thf(zip_derived_cl59383_021,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl59357,zip_derived_cl59157]) ).
thf(zip_derived_cl59785,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl59693,zip_derived_cl59383]) ).
thf(zip_derived_cl59785_022,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl59693,zip_derived_cl59383]) ).
thf(zip_derived_cl59812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X4 @ X0 @ X2 )
| ( midp @ X4 @ X3 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl59785,zip_derived_cl59785]) ).
thf(zip_derived_cl59844,plain,
! [X1: $i,X2: $i,X3: $i] : ( midp @ X1 @ X3 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl59114,zip_derived_cl59812]) ).
thf(zip_derived_cl59894,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X1 @ X2 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl1417,zip_derived_cl59844]) ).
thf(ruleD24,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cong @ A @ B @ C @ D )
=> ( cong @ C @ D @ A @ B ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD24]) ).
thf(zip_derived_cl59987,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X1 @ X0 @ X0 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl59894,zip_derived_cl23]) ).
thf(zip_derived_cl22_023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD23]) ).
thf(zip_derived_cl60014,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl59987,zip_derived_cl22]) ).
thf(zip_derived_cl60014_024,plain,
! [X0: $i,X1: $i,X2: $i] : ( cong @ X2 @ X1 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl59987,zip_derived_cl22]) ).
thf(zip_derived_cl60028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( perp @ X0 @ X2 @ X1 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl60014,zip_derived_cl60014]) ).
thf(zip_derived_cl60038,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl60028]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO568+1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xlT8tL12Os true
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 23:04:16 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.52/0.65 % Total configuration time : 435
% 0.52/0.65 % Estimated wc time : 1092
% 0.52/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 72.18/11.21 % Solved by fo/fo3_bce.sh.
% 72.18/11.21 % BCE start: 112
% 72.18/11.21 % BCE eliminated: 1
% 72.18/11.21 % PE start: 111
% 72.18/11.21 logic: eq
% 72.18/11.21 % PE eliminated: -17
% 72.18/11.21 % done 13826 iterations in 10.438s
% 72.18/11.21 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 72.18/11.21 % SZS output start Refutation
% See solution above
% 72.18/11.21
% 72.18/11.21
% 72.18/11.21 % Terminating...
% 72.86/11.30 % Runner terminated.
% 72.86/11.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------