TSTP Solution File: GEO565+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO565+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.Td46yVoVuc true
% Computer : n014.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 23:59:10 EDT 2023
% Result : Theorem 89.39s 13.38s
% Output : Refutation 89.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 36
% Syntax : Number of formulae : 119 ( 35 unt; 14 typ; 0 def)
% Number of atoms : 272 ( 0 equ; 0 cnn)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 1377 ( 82 ~; 79 |; 65 &;1128 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 12 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 : 426 ( 0 ^; 426 !; 0 ?; 426 :)
% Comments :
%------------------------------------------------------------------------------
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__20_type,type,
sk__20: $i ).
thf(circle_type,type,
circle: $i > $i > $i > $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(sk__26_type,type,
sk__26: $i ).
thf(eqangle_type,type,
eqangle: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $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__22_type,type,
sk__22: $i ).
thf(sk__27_type,type,
sk__27: $i ).
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(exemplo6GDDFULL214027,conjecture,
! [A: $i,B: $i,C: $i,H: $i,O: $i,OC: $i,OA: $i,OB: $i,MIDPNT1: $i,MIDPNT2: $i,MIDPNT3: $i,MIDPNT4: $i,MIDPNT5: $i,MIDPNT6: $i,MIDPNT7: $i,MIDPNT8: $i,MIDPNT9: $i,MIDPNT01: $i,MIDPNT11: $i,MIDPNT21: $i] :
( ( ( perp @ A @ B @ C @ H )
& ( perp @ A @ C @ B @ H )
& ( perp @ B @ C @ A @ H )
& ( 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 )
& ( midp @ MIDPNT4 @ A @ H )
& ( perp @ A @ H @ MIDPNT4 @ OC )
& ( midp @ MIDPNT5 @ A @ B )
& ( perp @ A @ B @ MIDPNT5 @ OC )
& ( midp @ MIDPNT6 @ H @ B )
& ( perp @ H @ B @ MIDPNT6 @ OC )
& ( midp @ MIDPNT7 @ B @ H )
& ( perp @ B @ H @ MIDPNT7 @ OA )
& ( midp @ MIDPNT8 @ B @ C )
& ( perp @ B @ C @ MIDPNT8 @ OA )
& ( midp @ MIDPNT9 @ H @ C )
& ( perp @ H @ C @ MIDPNT9 @ OA )
& ( midp @ MIDPNT01 @ C @ H )
& ( perp @ C @ H @ MIDPNT01 @ OB )
& ( midp @ MIDPNT11 @ C @ A )
& ( perp @ C @ A @ MIDPNT11 @ OB )
& ( midp @ MIDPNT21 @ H @ A )
& ( perp @ H @ A @ MIDPNT21 @ OB ) )
=> ( cong @ H @ OA @ H @ OB ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,H: $i,O: $i,OC: $i,OA: $i,OB: $i,MIDPNT1: $i,MIDPNT2: $i,MIDPNT3: $i,MIDPNT4: $i,MIDPNT5: $i,MIDPNT6: $i,MIDPNT7: $i,MIDPNT8: $i,MIDPNT9: $i,MIDPNT01: $i,MIDPNT11: $i,MIDPNT21: $i] :
( ( ( perp @ A @ B @ C @ H )
& ( perp @ A @ C @ B @ H )
& ( perp @ B @ C @ A @ H )
& ( 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 )
& ( midp @ MIDPNT4 @ A @ H )
& ( perp @ A @ H @ MIDPNT4 @ OC )
& ( midp @ MIDPNT5 @ A @ B )
& ( perp @ A @ B @ MIDPNT5 @ OC )
& ( midp @ MIDPNT6 @ H @ B )
& ( perp @ H @ B @ MIDPNT6 @ OC )
& ( midp @ MIDPNT7 @ B @ H )
& ( perp @ B @ H @ MIDPNT7 @ OA )
& ( midp @ MIDPNT8 @ B @ C )
& ( perp @ B @ C @ MIDPNT8 @ OA )
& ( midp @ MIDPNT9 @ H @ C )
& ( perp @ H @ C @ MIDPNT9 @ OA )
& ( midp @ MIDPNT01 @ C @ H )
& ( perp @ C @ H @ MIDPNT01 @ OB )
& ( midp @ MIDPNT11 @ C @ A )
& ( perp @ C @ A @ MIDPNT11 @ OB )
& ( midp @ MIDPNT21 @ H @ A )
& ( perp @ H @ A @ MIDPNT21 @ OB ) )
=> ( cong @ H @ OA @ H @ OB ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL214027]) ).
thf(zip_derived_cl128,plain,
~ ( cong @ sk__23 @ sk__26 @ sk__23 @ sk__27 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1613,plain,
~ ( midp @ sk__23 @ sk__26 @ sk__27 ),
inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl128]) ).
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(ruleD51,axiom,
! [A: $i,B: $i,C: $i,O: $i,M: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( coll @ M @ B @ C )
& ( eqangle @ A @ B @ A @ C @ O @ B @ O @ M ) )
=> ( midp @ M @ B @ C ) ) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
| ~ ( coll @ X4 @ X2 @ X3 )
| ~ ( eqangle @ X1 @ X2 @ X1 @ X3 @ X0 @ X2 @ X0 @ X4 )
| ( midp @ X4 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD51]) ).
thf(zip_derived_cl781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cong @ X3 @ X2 @ X3 @ X1 )
| ~ ( cong @ X3 @ X2 @ X3 @ X0 )
| ( midp @ X4 @ X1 @ X0 )
| ~ ( eqangle @ X2 @ X1 @ X2 @ X0 @ X3 @ X1 @ X3 @ X4 )
| ~ ( coll @ X4 @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl43]) ).
thf(ruleD41,axiom,
! [A: $i,B: $i,P: $i,Q: $i] :
( ( cyclic @ A @ B @ P @ Q )
=> ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 )
| ~ ( cyclic @ X1 @ X2 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD41]) ).
thf(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_cl1232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
| ( eqangle @ X3 @ X2 @ X1 @ X2 @ X3 @ X0 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl20]) ).
thf(zip_derived_cl5838,plain,
! [X0: $i,X1: $i] :
( ~ ( coll @ X0 @ X0 @ X0 )
| ( midp @ X0 @ X0 @ X0 )
| ~ ( cong @ X1 @ X1 @ X1 @ X0 )
| ~ ( cong @ X1 @ X1 @ X1 @ X0 )
| ~ ( cyclic @ X0 @ X0 @ X1 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl781,zip_derived_cl1232]) ).
thf(zip_derived_cl5840,plain,
! [X0: $i,X1: $i] :
( ~ ( cyclic @ X0 @ X0 @ X1 @ X1 )
| ~ ( cong @ X1 @ X1 @ X1 @ X0 )
| ( midp @ X0 @ X0 @ X0 )
| ~ ( coll @ X0 @ X0 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5838]) ).
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_cl1209,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_cl5389,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_cl1209,zip_derived_cl34]) ).
thf(zip_derived_cl103,plain,
perp @ sk__20 @ sk__21 @ sk__22 @ 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_cl1129,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__20 @ sk__21 @ X1 @ X0 )
| ~ ( perp @ sk__22 @ sk__23 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl8]) ).
thf(zip_derived_cl103_001,plain,
perp @ sk__20 @ sk__21 @ sk__22 @ 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_cl1131,plain,
perp @ sk__22 @ sk__23 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl7]) ).
thf(zip_derived_cl5041,plain,
para @ sk__20 @ sk__21 @ sk__20 @ sk__21,
inference('sup+',[status(thm)],[zip_derived_cl1129,zip_derived_cl1131]) ).
thf(zip_derived_cl1209_002,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_cl5387,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_cl1209,zip_derived_cl30]) ).
thf(zip_derived_cl107690,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl5041,zip_derived_cl5387]) ).
thf(zip_derived_cl107690_003,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl5041,zip_derived_cl5387]) ).
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_cl107705,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl107690,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_cl841,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_cl107790,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl107705,zip_derived_cl841]) ).
thf(zip_derived_cl109185,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl5389,zip_derived_cl107690,zip_derived_cl107790]) ).
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_cl109196,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl109185,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_cl110822,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X2 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl109196,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_cl110883,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl110822,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_cl110989,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_cl110883,zip_derived_cl16]) ).
thf(zip_derived_cl110883_004,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ X1 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl110822,zip_derived_cl15]) ).
thf(zip_derived_cl111023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl110989,zip_derived_cl110883]) ).
thf(zip_derived_cl107790_005,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl107705,zip_derived_cl841]) ).
thf(zip_derived_cl2_006,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_cl108994,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X2 @ X1 )
| ~ ( coll @ X1 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl107790,zip_derived_cl2]) ).
thf(zip_derived_cl107790_007,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl107705,zip_derived_cl841]) ).
thf(zip_derived_cl109148,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl108994,zip_derived_cl107790]) ).
thf(zip_derived_cl111506,plain,
! [X0: $i,X1: $i] :
( ~ ( cong @ X1 @ X1 @ X1 @ X0 )
| ( midp @ X0 @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl5840,zip_derived_cl111023,zip_derived_cl109148]) ).
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_cl32_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 )
| ~ ( cyclic @ X1 @ X2 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD41]) ).
thf(ruleD18,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 @ B @ A @ C @ D @ P @ Q @ U @ V ) ) ).
thf(zip_derived_cl17,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 @ X1 @ X0 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD18]) ).
thf(zip_derived_cl1229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cyclic @ X2 @ X0 @ X3 @ X1 )
| ( eqangle @ X2 @ X3 @ X3 @ X0 @ X1 @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl17]) ).
thf(zip_derived_cl5674,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cyclic @ X2 @ X0 @ X2 @ X1 )
| ~ ( cyclic @ X2 @ X0 @ X2 @ X2 )
| ~ ( cyclic @ X2 @ X0 @ X2 @ X0 )
| ( cong @ X2 @ X0 @ X2 @ X0 )
| ~ ( cyclic @ X2 @ X0 @ X2 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl1229]) ).
thf(zip_derived_cl5685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cong @ X2 @ X0 @ X2 @ X0 )
| ~ ( cyclic @ X2 @ X0 @ X2 @ X0 )
| ~ ( cyclic @ X2 @ X0 @ X2 @ X2 )
| ~ ( cyclic @ X2 @ X0 @ X2 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5674]) ).
thf(zip_derived_cl111023_009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl110989,zip_derived_cl110883]) ).
thf(zip_derived_cl111023_010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl110989,zip_derived_cl110883]) ).
thf(zip_derived_cl111023_011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl110989,zip_derived_cl110883]) ).
thf(zip_derived_cl111139,plain,
! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl5685,zip_derived_cl111023,zip_derived_cl111023,zip_derived_cl111023]) ).
thf(zip_derived_cl111509,plain,
! [X0: $i] : ( midp @ X0 @ X0 @ X0 ),
inference('sup+',[status(thm)],[zip_derived_cl111506,zip_derived_cl111139]) ).
thf(zip_derived_cl107690_012,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl5041,zip_derived_cl5387]) ).
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_cl1555,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_cl107713,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl107690,zip_derived_cl1555]) ).
thf(zip_derived_cl111544,plain,
! [X0: $i,X1: $i] : ( midp @ X0 @ X1 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl111509,zip_derived_cl107713]) ).
thf(zip_derived_cl52_013,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_cl111139_014,plain,
! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl5685,zip_derived_cl111023,zip_derived_cl111023,zip_derived_cl111023]) ).
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(zip_derived_cl111150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( perp @ X1 @ X1 @ X0 @ X2 )
| ~ ( cong @ X1 @ X2 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl111139,zip_derived_cl48]) ).
thf(zip_derived_cl111139_015,plain,
! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl5685,zip_derived_cl111023,zip_derived_cl111023,zip_derived_cl111023]) ).
thf(zip_derived_cl111185,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl111150,zip_derived_cl111139]) ).
thf(zip_derived_cl7_016,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_cl111494,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X0 @ X2 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl111185,zip_derived_cl7]) ).
thf(zip_derived_cl8_017,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_cl111565,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_cl111494,zip_derived_cl8]) ).
thf(zip_derived_cl111185_018,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X1 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl111150,zip_derived_cl111139]) ).
thf(zip_derived_cl111785,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl111565,zip_derived_cl111185]) ).
thf(zip_derived_cl111785_019,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl111565,zip_derived_cl111185]) ).
thf(zip_derived_cl111810,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_cl111785,zip_derived_cl111785]) ).
thf(zip_derived_cl111841,plain,
! [X1: $i,X2: $i,X3: $i] : ( midp @ X1 @ X3 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl111544,zip_derived_cl111810]) ).
thf(zip_derived_cl111925,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1613,zip_derived_cl111841]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO565+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Td46yVoVuc true
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 22:46:45 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.35 % Running portfolio for 300 s
% 0.21/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.12/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.12/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.12/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.12/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.12/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 89.39/13.38 % Solved by fo/fo3_bce.sh.
% 89.39/13.38 % BCE start: 129
% 89.39/13.38 % BCE eliminated: 1
% 89.39/13.38 % PE start: 128
% 89.39/13.38 logic: eq
% 89.39/13.38 % PE eliminated: -17
% 89.39/13.38 % done 21163 iterations in 12.609s
% 89.39/13.38 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 89.39/13.38 % SZS output start Refutation
% See solution above
% 89.39/13.38
% 89.39/13.38
% 89.39/13.38 % Terminating...
% 90.03/13.50 % Runner terminated.
% 90.03/13.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------