%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO559+1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JeOa7ZsYru true
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:34:55 PM UTC 2025
% Result : Theorem 6.07s 1.44s
% Output : Refutation 6.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 22
% Syntax : Number of formulae : 114 ( 47 unt; 0 typ; 0 def)
% Number of atoms : 216 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 1025 ( 61 ~; 59 |; 20 &; 862 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 8 con; 0-8 aty)
% Number of variables : 301 ( 0 ^; 300 !; 1 ?; 301 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__26_type,type,
sk__26: $i ).
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf(sk__24_type,type,
sk__24: $i ).
thf(sk__27_type,type,
sk__27: $i ).
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(eqangle_type,type,
eqangle: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(sk__11_type,type,
sk__11: $i > $i > $i ).
thf(sk__23_type,type,
sk__23: $i ).
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(exemplo6GDDFULL012019,conjecture,
! [A: $i,B: $i,C: $i,O: $i,F: $i,P: $i,E: $i,D: $i,NWPNT1: $i,NWPNT2: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( circle @ P @ A @ B @ F )
& ( circle @ P @ A @ E @ NWPNT1 )
& ( coll @ E @ A @ C )
& ( circle @ O @ B @ D @ NWPNT2 )
& ( coll @ D @ B @ F ) )
=> ( para @ C @ D @ E @ F ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,O: $i,F: $i,P: $i,E: $i,D: $i,NWPNT1: $i,NWPNT2: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( circle @ P @ A @ B @ F )
& ( circle @ P @ A @ E @ NWPNT1 )
& ( coll @ E @ A @ C )
& ( circle @ O @ B @ D @ NWPNT2 )
& ( coll @ D @ B @ F ) )
=> ( para @ C @ D @ E @ F ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL012019]) ).
thf(zip_derived_cl119,plain,
~ ( para @ sk__22 @ sk__27 @ sk__26 @ sk__24 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl117,plain,
coll @ sk__26 @ 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_cl120,plain,
coll @ sk__26 @ sk__22 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl117,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_cl125,plain,
coll @ sk__22 @ sk__26 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl1]) ).
thf(zip_derived_cl125_001,plain,
coll @ sk__22 @ sk__26 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl120,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_cl141,plain,
! [X0: $i] :
( ~ ( coll @ sk__22 @ sk__26 @ X0 )
| ( coll @ sk__20 @ X0 @ sk__22 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl2]) ).
thf(zip_derived_cl188,plain,
coll @ sk__20 @ sk__20 @ sk__22,
inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl141]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl190,plain,
coll @ sk__20 @ sk__22 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl0]) ).
thf(zip_derived_cl190_003,plain,
coll @ sk__20 @ sk__22 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl188,zip_derived_cl0]) ).
thf(zip_derived_cl2_004,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_cl192,plain,
! [X0: $i] :
( ~ ( coll @ sk__20 @ sk__22 @ X0 )
| ( coll @ sk__20 @ X0 @ sk__20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl2]) ).
thf(zip_derived_cl338,plain,
coll @ sk__20 @ sk__20 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl190,zip_derived_cl192]) ).
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_cl426,plain,
perp @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20 @ sk__20 @ sk__23,
inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl99]) ).
thf(zip_derived_cl426_005,plain,
perp @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20 @ sk__20 @ sk__23,
inference('s_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_cl432,plain,
perp @ sk__20 @ sk__23 @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl426,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_cl453,plain,
! [X0: $i,X1: $i] :
( ~ ( perp @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20 @ X1 @ X0 )
| ( para @ sk__20 @ sk__23 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl8]) ).
thf(zip_derived_cl536,plain,
para @ sk__20 @ sk__23 @ sk__20 @ sk__23,
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl453]) ).
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_cl540,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl536,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_cl907,plain,
! [X0: $i] :
( ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__20 )
| ~ ( coll @ sk__20 @ sk__20 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl42]) ).
thf(zip_derived_cl924,plain,
cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl338,zip_derived_cl907]) ).
thf(zip_derived_cl540_006,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl536,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_cl908,plain,
! [X0: $i] :
( ( cong @ sk__23 @ X0 @ sk__23 @ X0 )
| ~ ( cyclic @ sk__23 @ X0 @ sk__20 @ X0 )
| ~ ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__23 )
| ~ ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl43]) ).
thf(zip_derived_cl4053,plain,
( ( cong @ sk__23 @ sk__20 @ sk__23 @ sk__20 )
| ~ ( cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__23 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl924,zip_derived_cl908]) ).
thf(zip_derived_cl426_007,plain,
perp @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20 @ sk__20 @ sk__23,
inference('s_sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl99]) ).
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_cl431,plain,
perp @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20 @ sk__23 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl426,zip_derived_cl6]) ).
thf(zip_derived_cl453_008,plain,
! [X0: $i,X1: $i] :
( ~ ( perp @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20 @ X1 @ X0 )
| ( para @ sk__20 @ sk__23 @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl432,zip_derived_cl8]) ).
thf(zip_derived_cl537,plain,
para @ sk__20 @ sk__23 @ sk__23 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl431,zip_derived_cl453]) ).
thf(ruleD5,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( para @ A @ B @ C @ D )
=> ( para @ C @ D @ A @ B ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( para @ X2 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD5]) ).
thf(zip_derived_cl558,plain,
para @ sk__23 @ sk__20 @ sk__20 @ sk__23,
inference('s_sup-',[status(thm)],[zip_derived_cl537,zip_derived_cl4]) ).
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_cl563,plain,
para @ sk__23 @ sk__20 @ sk__23 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl558,zip_derived_cl3]) ).
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_cl572,plain,
coll @ sk__23 @ sk__20 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl563,zip_derived_cl66]) ).
thf(zip_derived_cl1_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl575,plain,
coll @ sk__20 @ sk__23 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl572,zip_derived_cl1]) ).
thf(zip_derived_cl0_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl577,plain,
coll @ sk__20 @ sk__20 @ sk__23,
inference('s_sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl0]) ).
thf(zip_derived_cl907_011,plain,
! [X0: $i] :
( ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__20 )
| ~ ( coll @ sk__20 @ sk__20 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,zip_derived_cl42]) ).
thf(zip_derived_cl926,plain,
cyclic @ sk__23 @ sk__23 @ sk__20 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl577,zip_derived_cl907]) ).
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_cl940,plain,
cyclic @ sk__23 @ sk__20 @ sk__23 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl926,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_cl964,plain,
cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__23,
inference('s_sup-',[status(thm)],[zip_derived_cl940,zip_derived_cl13]) ).
thf(zip_derived_cl4054,plain,
cong @ sk__23 @ sk__20 @ sk__23 @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl4053,zip_derived_cl964]) ).
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_cl540_012,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl536,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_cl902,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 ),
inference('s_sup-',[status(thm)],[zip_derived_cl540,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_cl3760,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl902,zip_derived_cl38]) ).
thf(zip_derived_cl66_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD66]) ).
thf(zip_derived_cl3783,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl3760,zip_derived_cl66]) ).
thf(zip_derived_cl1_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl3796,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl3783,zip_derived_cl1]) ).
thf(zip_derived_cl0_015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl3899,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl3796,zip_derived_cl0]) ).
thf(zip_derived_cl2_016,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_cl3997,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( coll @ X1 @ X1 @ X2 )
| ( coll @ X0 @ X2 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3899,zip_derived_cl2]) ).
thf(zip_derived_cl3899_017,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl3796,zip_derived_cl0]) ).
thf(zip_derived_cl4005,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl3997,zip_derived_cl3899]) ).
thf(zip_derived_cl4033,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_cl4005]) ).
thf(zip_derived_cl4244,plain,
midp @ sk__23 @ sk__20 @ sk__20,
inference('s_sup-',[status(thm)],[zip_derived_cl4054,zip_derived_cl4033]) ).
thf(zip_derived_cl3760_018,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl902,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_cl3777,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3760,zip_derived_cl64]) ).
thf(zip_derived_cl4258,plain,
! [X0: $i] : ( midp @ sk__23 @ X0 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl4244,zip_derived_cl3777]) ).
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_cl4260,plain,
! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl4258,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_cl4274,plain,
! [X0: $i,X1: $i] :
( ~ ( cong @ sk__23 @ X1 @ sk__23 @ X1 )
| ( perp @ sk__23 @ sk__23 @ X0 @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4260,zip_derived_cl56]) ).
thf(zip_derived_cl4260_019,plain,
! [X0: $i] : ( cong @ sk__23 @ X0 @ sk__23 @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl4258,zip_derived_cl68]) ).
thf(zip_derived_cl4276,plain,
! [X0: $i,X1: $i] : ( perp @ sk__23 @ sk__23 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl4274,zip_derived_cl4260]) ).
thf(zip_derived_cl7_020,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_cl4318,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ sk__23 @ sk__23 ),
inference('s_sup-',[status(thm)],[zip_derived_cl4276,zip_derived_cl7]) ).
thf(zip_derived_cl8_021,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_cl4363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( perp @ sk__23 @ sk__23 @ X3 @ X2 )
| ( para @ X1 @ X0 @ X3 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4318,zip_derived_cl8]) ).
thf(zip_derived_cl4276_022,plain,
! [X0: $i,X1: $i] : ( perp @ sk__23 @ sk__23 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl4274,zip_derived_cl4260]) ).
thf(zip_derived_cl4409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( para @ X1 @ X0 @ X3 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl4363,zip_derived_cl4276]) ).
thf(zip_derived_cl4413,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl4409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO559+1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JeOa7ZsYru true
% 0.13/0.35 % Computer : n020.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 : Wed Oct 1 17:26:38 EDT 2025
% 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
% 0.13/0.35 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.07/1.44 % Solved by fo/fo13.sh.
% 6.07/1.44 % done 2133 iterations in 0.689s
% 6.07/1.44 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.07/1.44 % SZS output start Refutation
% See solution above
% 6.07/1.44
% 6.07/1.44
% 6.07/1.44 % Terminating...
% 6.63/1.55 % Runner terminated.
% 6.63/1.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------