TSTP Solution File: GEO558+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO558+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.G4cjY78uL7 true
% Computer : n011.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 23:59:08 EDT 2023
% Result : Theorem 64.47s 9.84s
% Output : Refutation 64.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 37
% Syntax : Number of formulae : 133 ( 48 unt; 15 typ; 0 def)
% Number of atoms : 234 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 1115 ( 68 ~; 66 |; 27 &; 931 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 7 con; 0-8 aty)
% Number of variables : 345 ( 0 ^; 344 !; 1 ?; 345 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__25_type,type,
sk__25: $i ).
thf(sk__22_type,type,
sk__22: $i ).
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(sk__23_type,type,
sk__23: $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(sk__21_type,type,
sk__21: $i ).
thf(eqangle_type,type,
eqangle: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
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__11_type,type,
sk__11: $i > $i > $i ).
thf(sk__28_type,type,
sk__28: $i ).
thf(exemplo6GDDFULL012018,conjecture,
! [A: $i,C: $i,K: $i,O: $i,N: $i,B: $i,G: $i,O1: $i,M: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i] :
( ( ( circle @ O @ A @ C @ K )
& ( circle @ O @ A @ N @ NWPNT1 )
& ( coll @ B @ A @ K )
& ( coll @ B @ C @ N )
& ( circle @ G @ A @ C @ B )
& ( circle @ O1 @ K @ N @ B )
& ( circle @ G @ A @ M @ NWPNT2 )
& ( circle @ O1 @ K @ M @ NWPNT3 ) )
=> ( perp @ B @ M @ M @ O ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,C: $i,K: $i,O: $i,N: $i,B: $i,G: $i,O1: $i,M: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i] :
( ( ( circle @ O @ A @ C @ K )
& ( circle @ O @ A @ N @ NWPNT1 )
& ( coll @ B @ A @ K )
& ( coll @ B @ C @ N )
& ( circle @ G @ A @ C @ B )
& ( circle @ O1 @ K @ N @ B )
& ( circle @ G @ A @ M @ NWPNT2 )
& ( circle @ O1 @ K @ M @ NWPNT3 ) )
=> ( perp @ B @ M @ M @ O ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL012018]) ).
thf(zip_derived_cl121,plain,
~ ( perp @ sk__25 @ sk__28 @ sk__28 @ sk__23 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl116,plain,
coll @ sk__25 @ sk__20 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl122,plain,
coll @ sk__25 @ sk__22 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl116,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_cl129,plain,
coll @ sk__22 @ sk__25 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl1]) ).
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_cl160,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_cl167,plain,
coll @ sk__20 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl160]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl196,plain,
coll @ sk__20 @ sk__22 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl0]) ).
thf(zip_derived_cl160_002,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_cl248,plain,
coll @ sk__20 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl196,zip_derived_cl160]) ).
thf(zip_derived_cl114,plain,
circle @ sk__23 @ sk__20 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleX11,axiom,
! [A: $i,B: $i,C: $i,O: $i] :
? [P: $i] :
( ( circle @ O @ A @ B @ C )
=> ( perp @ P @ A @ A @ O ) ) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( circle @ X0 @ X1 @ X2 @ X3 )
| ( perp @ ( sk__11 @ X0 @ X1 ) @ X1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[ruleX11]) ).
thf(zip_derived_cl1296,plain,
perp @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20 @ sk__20 @ sk__23,
inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl99]) ).
thf(zip_derived_cl1296_003,plain,
perp @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20 @ sk__20 @ sk__23,
inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl99]) ).
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_cl1304,plain,
perp @ sk__20 @ sk__23 @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl1296,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_cl1327,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__20 @ sk__23 @ X1 @ X0 )
| ~ ( perp @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1304,zip_derived_cl8]) ).
thf(zip_derived_cl1351,plain,
para @ sk__20 @ sk__23 @ sk__20 @ sk__23,
inference('sup-',[status(thm)],[zip_derived_cl1296,zip_derived_cl1327]) ).
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_cl1355,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl39]) ).
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_cl42,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_cl4427,plain,
! [X0: $i] :
( ~ ( coll @ sk__20 @ sk__20 @ X0 )
| ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1355,zip_derived_cl42]) ).
thf(zip_derived_cl12051,plain,
cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl4427]) ).
thf(zip_derived_cl1355_004,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl39]) ).
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_cl43,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_cl4428,plain,
! [X0: $i] :
( ~ ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__20 )
| ~ ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__23 )
| ~ ( cyclic @ sk__23 @ X0 @ sk__20 @ X0 )
| ( cong @ sk__23 @ X0 @ sk__23 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1355,zip_derived_cl43]) ).
thf(zip_derived_cl55642,plain,
( ( cong @ sk__23 @ sk__20 @ sk__23 @ sk__20 )
| ~ ( cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__20 )
| ~ ( cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__23 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12051,zip_derived_cl4428]) ).
thf(zip_derived_cl12051_005,plain,
cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl4427]) ).
thf(zip_derived_cl1351_006,plain,
para @ sk__20 @ sk__23 @ sk__20 @ sk__23,
inference('sup-',[status(thm)],[zip_derived_cl1296,zip_derived_cl1327]) ).
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_cl1362,plain,
coll @ sk__20 @ sk__23 @ sk__23,
inference('sup-',[status(thm)],[zip_derived_cl1351,zip_derived_cl66]) ).
thf(zip_derived_cl160_007,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_cl1368,plain,
coll @ sk__23 @ sk__23 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl1362,zip_derived_cl160]) ).
thf(zip_derived_cl160_008,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_cl1376,plain,
coll @ sk__20 @ sk__20 @ sk__23,
inference('sup-',[status(thm)],[zip_derived_cl1368,zip_derived_cl160]) ).
thf(zip_derived_cl4427_009,plain,
! [X0: $i] :
( ~ ( coll @ sk__20 @ sk__20 @ X0 )
| ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1355,zip_derived_cl42]) ).
thf(zip_derived_cl12054,plain,
cyclic @ sk__23 @ sk__23 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl1376,zip_derived_cl4427]) ).
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_cl12086,plain,
cyclic @ sk__23 @ sk__20 @ sk__23 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl12054,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_cl12480,plain,
cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__23,
inference('sup-',[status(thm)],[zip_derived_cl12086,zip_derived_cl13]) ).
thf(zip_derived_cl55650,plain,
cong @ sk__23 @ sk__20 @ sk__23 @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl55642,zip_derived_cl12051,zip_derived_cl12480]) ).
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_cl1355_010,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1351,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_cl4422,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 ),
inference('sup-',[status(thm)],[zip_derived_cl1355,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_cl38,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_cl51699,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl4422,zip_derived_cl38]) ).
thf(zip_derived_cl66_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD66]) ).
thf(zip_derived_cl51723,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl51699,zip_derived_cl66]) ).
thf(zip_derived_cl160_012,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_cl51770,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl51723,zip_derived_cl160]) ).
thf(zip_derived_cl2_013,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_cl54933,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X2 @ X1 )
| ~ ( coll @ X1 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl51770,zip_derived_cl2]) ).
thf(zip_derived_cl51770_014,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl51723,zip_derived_cl160]) ).
thf(zip_derived_cl55277,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl54933,zip_derived_cl51770]) ).
thf(zip_derived_cl55283,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_cl55277]) ).
thf(zip_derived_cl56075,plain,
midp @ sk__23 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl55650,zip_derived_cl55283]) ).
thf(zip_derived_cl51699_015,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl4422,zip_derived_cl38]) ).
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_cl1255,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_cl51729,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl51699,zip_derived_cl1255]) ).
thf(zip_derived_cl56104,plain,
! [X0: $i] : ( midp @ sk__23 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl56075,zip_derived_cl51729]) ).
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_cl56144,plain,
! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl56104,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_cl353,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_cl57605,plain,
! [X0: $i] : ( circle @ sk__23 @ X0 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl56144,zip_derived_cl353]) ).
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_cl55277_016,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl54933,zip_derived_cl51770]) ).
thf(zip_derived_cl55281,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_cl55277]) ).
thf(zip_derived_cl57622,plain,
! [X0: $i] : ( perp @ X0 @ X0 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl57605,zip_derived_cl55281]) ).
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_cl56144_017,plain,
! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl56104,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_cl57603,plain,
! [X0: $i,X1: $i] :
( ( perp @ sk__23 @ sk__23 @ X0 @ X1 )
| ~ ( cong @ sk__23 @ X1 @ sk__23 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl56144,zip_derived_cl56]) ).
thf(zip_derived_cl56144_018,plain,
! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl56104,zip_derived_cl68]) ).
thf(zip_derived_cl57617,plain,
! [X0: $i,X1: $i] : ( perp @ sk__23 @ sk__23 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl57603,zip_derived_cl56144]) ).
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_cl57801,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ sk__23 @ sk__23 ),
inference('sup-',[status(thm)],[zip_derived_cl57617,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_cl57812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( para @ X1 @ X0 @ X3 @ X2 )
| ~ ( perp @ sk__23 @ sk__23 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl57801,zip_derived_cl8]) ).
thf(zip_derived_cl57617_021,plain,
! [X0: $i,X1: $i] : ( perp @ sk__23 @ sk__23 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl57603,zip_derived_cl56144]) ).
thf(zip_derived_cl57881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl57812,zip_derived_cl57617]) ).
thf(zip_derived_cl58070,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_cl57881]) ).
thf(zip_derived_cl62917,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X2 @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl57622,zip_derived_cl58070]) ).
thf(zip_derived_cl7_022,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_cl63079,plain,
! [X0: $i,X1: $i,X2: $i] : ( perp @ X0 @ X0 @ X2 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl62917,zip_derived_cl7]) ).
thf(zip_derived_cl58070_023,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_cl57881]) ).
thf(zip_derived_cl63111,plain,
! [X0: $i,X1: $i,X3: $i,X4: $i] : ( perp @ X4 @ X3 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl63079,zip_derived_cl58070]) ).
thf(zip_derived_cl63165,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl63111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G4cjY78uL7 true
% 0.13/0.35 % Computer : n011.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 23:50:42 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 64.47/9.84 % Solved by fo/fo5.sh.
% 64.47/9.84 % done 26618 iterations in 9.030s
% 64.47/9.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 64.47/9.84 % SZS output start Refutation
% See solution above
% 64.47/9.84
% 64.47/9.84
% 64.47/9.84 % Terminating...
% 64.47/9.91 % Runner terminated.
% 64.47/9.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------