TSTP Solution File: GEO626+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO626+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.Iwwb2wrokJ true
% Computer : n032.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 23:59:29 EDT 2023
% Result : Theorem 24.10s 4.00s
% Output : Refutation 24.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 45
% Syntax : Number of formulae : 194 ( 76 unt; 17 typ; 0 def)
% Number of atoms : 340 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 1722 ( 101 ~; 99 |; 35 &;1458 @)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 37 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 9 con; 0-8 aty)
% Number of variables : 578 ( 0 ^; 577 !; 1 ?; 578 :)
% 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(sk__27_type,type,
sk__27: $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__24_type,type,
sk__24: $i ).
thf(sk__28_type,type,
sk__28: $i ).
thf(sk__15_type,type,
sk__15: $i > $i > $i > $i ).
thf(exemplo6GDDFULL8110990,conjecture,
! [A: $i,B: $i,C: $i,O: $i,D: $i,G: $i,F: $i,C1: $i,B1: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( circle @ O @ A @ D @ NWPNT1 )
& ( perp @ G @ D @ A @ B )
& ( coll @ G @ A @ B )
& ( perp @ F @ D @ A @ C )
& ( coll @ F @ A @ C )
& ( circle @ O @ D @ C1 @ NWPNT2 )
& ( coll @ C1 @ D @ G )
& ( circle @ O @ D @ B1 @ NWPNT3 )
& ( coll @ B1 @ D @ F ) )
=> ( para @ C1 @ C @ B1 @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,O: $i,D: $i,G: $i,F: $i,C1: $i,B1: $i,NWPNT1: $i,NWPNT2: $i,NWPNT3: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( circle @ O @ A @ D @ NWPNT1 )
& ( perp @ G @ D @ A @ B )
& ( coll @ G @ A @ B )
& ( perp @ F @ D @ A @ C )
& ( coll @ F @ A @ C )
& ( circle @ O @ D @ C1 @ NWPNT2 )
& ( coll @ C1 @ D @ G )
& ( circle @ O @ D @ B1 @ NWPNT3 )
& ( coll @ B1 @ D @ F ) )
=> ( para @ C1 @ C @ B1 @ B ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL8110990]) ).
thf(zip_derived_cl123,plain,
~ ( para @ sk__27 @ sk__22 @ sk__28 @ sk__21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ruleD44,axiom,
! [A: $i,B: $i,C: $i,E: $i,F: $i] :
( ( ( midp @ E @ A @ B )
& ( midp @ F @ A @ C ) )
=> ( para @ E @ F @ B @ C ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( midp @ X3 @ X1 @ X4 )
| ( para @ X0 @ X3 @ X2 @ X4 ) ),
inference(cnf,[status(esa)],[ruleD44]) ).
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_cl40,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(zip_derived_cl116,plain,
perp @ sk__25 @ sk__24 @ sk__20 @ sk__21,
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_cl364,plain,
perp @ sk__20 @ sk__21 @ sk__25 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl7]) ).
thf(zip_derived_cl116_001,plain,
perp @ sk__25 @ sk__24 @ sk__20 @ sk__21,
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_cl391,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__25 @ sk__24 @ X1 @ X0 )
| ~ ( perp @ sk__20 @ sk__21 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl8]) ).
thf(zip_derived_cl3672,plain,
para @ sk__25 @ sk__24 @ sk__25 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl391]) ).
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_cl3701,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__25 @ sk__24 @ X1 @ X0 @ sk__25 @ sk__24 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3672,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_cl7191,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__25 @ sk__24 @ X1 @ X0 @ sk__25 @ sk__24 ),
inference('sup-',[status(thm)],[zip_derived_cl3701,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_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_cl8429,plain,
! [X0: $i] :
( ~ ( coll @ sk__25 @ sk__25 @ sk__24 )
| ( cyclic @ X0 @ sk__24 @ sk__25 @ sk__25 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7191,zip_derived_cl42]) ).
thf(zip_derived_cl121,plain,
coll @ sk__27 @ sk__24 @ sk__25,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl133,plain,
coll @ sk__24 @ sk__27 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl121,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_cl171,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_cl177,plain,
coll @ sk__25 @ sk__25 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl171]) ).
thf(zip_derived_cl8439,plain,
! [X0: $i] : ( cyclic @ X0 @ sk__24 @ sk__25 @ sk__25 ),
inference(demod,[status(thm)],[zip_derived_cl8429,zip_derived_cl177]) ).
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_cl9657,plain,
! [X0: $i] : ( cyclic @ sk__24 @ X0 @ sk__25 @ sk__25 ),
inference('sup-',[status(thm)],[zip_derived_cl8439,zip_derived_cl15]) ).
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_cl9842,plain,
! [X0: $i] : ( cyclic @ sk__24 @ sk__25 @ X0 @ sk__25 ),
inference('sup-',[status(thm)],[zip_derived_cl9657,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_cl10058,plain,
! [X0: $i] : ( cyclic @ sk__24 @ sk__25 @ sk__25 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl9842,zip_derived_cl13]) ).
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_cl10133,plain,
! [X0: $i,X1: $i] :
( ( cyclic @ sk__25 @ sk__25 @ X0 @ X1 )
| ~ ( cyclic @ sk__24 @ sk__25 @ sk__25 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10058,zip_derived_cl16]) ).
thf(zip_derived_cl10058_002,plain,
! [X0: $i] : ( cyclic @ sk__24 @ sk__25 @ sk__25 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl9842,zip_derived_cl13]) ).
thf(zip_derived_cl10141,plain,
! [X0: $i,X1: $i] : ( cyclic @ sk__25 @ sk__25 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl10133,zip_derived_cl10058]) ).
thf(zip_derived_cl16_003,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_cl10238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cyclic @ sk__25 @ X1 @ X0 @ X2 )
| ~ ( cyclic @ sk__25 @ sk__25 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10141,zip_derived_cl16]) ).
thf(zip_derived_cl10141_004,plain,
! [X0: $i,X1: $i] : ( cyclic @ sk__25 @ sk__25 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl10133,zip_derived_cl10058]) ).
thf(zip_derived_cl10246,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__25 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl10238,zip_derived_cl10141]) ).
thf(zip_derived_cl16_005,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_cl10350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X2 @ X1 @ X0 @ X3 )
| ~ ( cyclic @ sk__25 @ X2 @ X1 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10246,zip_derived_cl16]) ).
thf(zip_derived_cl10246_006,plain,
! [X0: $i,X1: $i,X2: $i] : ( cyclic @ sk__25 @ X1 @ X0 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl10238,zip_derived_cl10141]) ).
thf(zip_derived_cl10358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl10350,zip_derived_cl10246]) ).
thf(zip_derived_cl10455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X0 @ X1 @ X0 @ X2 @ X3 @ X1 @ X3 @ X2 ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl10358]) ).
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_cl10358_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl10350,zip_derived_cl10246]) ).
thf(zip_derived_cl10358_008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl10350,zip_derived_cl10246]) ).
thf(zip_derived_cl10358_009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl10350,zip_derived_cl10246]) ).
thf(zip_derived_cl10456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X4 @ X0 @ X4 @ X1 @ X5 @ X2 @ X5 @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl10358,zip_derived_cl10358,zip_derived_cl10358]) ).
thf(zip_derived_cl20022,plain,
! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl10455,zip_derived_cl10456]) ).
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_cl479,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_cl22300,plain,
! [X0: $i,X1: $i] : ( circle @ X1 @ X0 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl20022,zip_derived_cl479]) ).
thf(zip_derived_cl7191_010,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__25 @ sk__24 @ X1 @ X0 @ sk__25 @ sk__24 ),
inference('sup-',[status(thm)],[zip_derived_cl3701,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_cl8427,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl7191,zip_derived_cl38]) ).
thf(zip_derived_cl39_011,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_cl8444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( eqangle @ X1 @ X0 @ X3 @ X2 @ X1 @ X0 @ X3 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl8427,zip_derived_cl39]) ).
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_cl49,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_cl16146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( perp @ X2 @ X1 @ X1 @ X1 )
| ~ ( circle @ X2 @ X1 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8444,zip_derived_cl49]) ).
thf(zip_derived_cl22768,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl22300,zip_derived_cl16146]) ).
thf(zip_derived_cl364_012,plain,
perp @ sk__20 @ sk__21 @ sk__25 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl7]) ).
thf(ruleD7,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ A @ B @ D @ C ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( perp @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD7]) ).
thf(zip_derived_cl587,plain,
perp @ sk__20 @ sk__21 @ sk__24 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl364,zip_derived_cl6]) ).
thf(zip_derived_cl391_013,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__25 @ sk__24 @ X1 @ X0 )
| ~ ( perp @ sk__20 @ sk__21 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl8]) ).
thf(zip_derived_cl3671,plain,
para @ sk__25 @ sk__24 @ sk__24 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl587,zip_derived_cl391]) ).
thf(zip_derived_cl39_014,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_cl3683,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__25 @ sk__24 @ X1 @ X0 @ sk__24 @ sk__25 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3671,zip_derived_cl39]) ).
thf(zip_derived_cl18_015,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_cl7179,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__25 @ sk__24 @ X1 @ X0 @ sk__24 @ sk__25 ),
inference('sup-',[status(thm)],[zip_derived_cl3683,zip_derived_cl18]) ).
thf(ruleD21,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
=> ( eqangle @ A @ B @ P @ Q @ C @ D @ U @ V ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( eqangle @ X0 @ X1 @ X4 @ X5 @ X2 @ X3 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD21]) ).
thf(zip_derived_cl8317,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ X1 @ X0 @ sk__25 @ sk__24 @ sk__24 @ sk__25 ),
inference('sup-',[status(thm)],[zip_derived_cl7179,zip_derived_cl20]) ).
thf(ruleD74,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 )
& ( perp @ P @ Q @ U @ V ) )
=> ( perp @ A @ B @ C @ D ) ) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( perp @ X4 @ X5 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD74]) ).
thf(zip_derived_cl15192,plain,
! [X0: $i,X1: $i] :
( ~ ( perp @ sk__25 @ sk__24 @ sk__24 @ sk__25 )
| ( perp @ X1 @ X0 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8317,zip_derived_cl74]) ).
thf(zip_derived_cl114,plain,
circle @ sk__23 @ sk__20 @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl1433,plain,
( ~ ( coll @ sk__23 @ sk__20 @ sk__22 )
| ( perp @ sk__20 @ sk__21 @ sk__21 @ sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl53]) ).
thf(zip_derived_cl8427_016,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl7191,zip_derived_cl38]) ).
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_cl8451,plain,
! [X0: $i,X1: $i] : ( coll @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl8427,zip_derived_cl66]) ).
thf(zip_derived_cl171_017,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_cl8471,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl8451,zip_derived_cl171]) ).
thf(zip_derived_cl2_018,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_cl9487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X2 @ X1 )
| ~ ( coll @ X1 @ X1 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8471,zip_derived_cl2]) ).
thf(zip_derived_cl8471_019,plain,
! [X0: $i,X1: $i] : ( coll @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl8451,zip_derived_cl171]) ).
thf(zip_derived_cl9531,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl9487,zip_derived_cl8471]) ).
thf(zip_derived_cl9548,plain,
perp @ sk__20 @ sk__21 @ sk__21 @ sk__22,
inference(demod,[status(thm)],[zip_derived_cl1433,zip_derived_cl9531]) ).
thf(zip_derived_cl6_020,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_cl9596,plain,
perp @ sk__20 @ sk__21 @ sk__22 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl9548,zip_derived_cl6]) ).
thf(zip_derived_cl7_021,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_cl9643,plain,
perp @ sk__22 @ sk__21 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl9596,zip_derived_cl7]) ).
thf(zip_derived_cl6_022,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_cl9735,plain,
perp @ sk__22 @ sk__21 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl9643,zip_derived_cl6]) ).
thf(ruleX14,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
? [O: $i] :
( ( ( perp @ A @ C @ C @ B )
& ( cyclic @ A @ B @ C @ D ) )
=> ( circle @ O @ A @ B @ C ) ) ).
thf(zip_derived_cl105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cyclic @ X0 @ X1 @ X2 @ X3 )
| ~ ( perp @ X0 @ X2 @ X2 @ X1 )
| ( circle @ ( sk__15 @ X2 @ X1 @ X0 ) @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[ruleX14]) ).
thf(zip_derived_cl10358_023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( cyclic @ X2 @ X1 @ X0 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl10350,zip_derived_cl10246]) ).
thf(zip_derived_cl10460,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( perp @ X0 @ X2 @ X2 @ X1 )
| ( circle @ ( sk__15 @ X2 @ X1 @ X0 ) @ X0 @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl10358]) ).
thf(zip_derived_cl10875,plain,
circle @ ( sk__15 @ sk__21 @ sk__20 @ sk__22 ) @ sk__22 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl9735,zip_derived_cl10460]) ).
thf(zip_derived_cl53_024,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_cl9531_025,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl9487,zip_derived_cl8471]) ).
thf(zip_derived_cl9543,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_cl9531]) ).
thf(zip_derived_cl11492,plain,
perp @ sk__22 @ sk__20 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl10875,zip_derived_cl9543]) ).
thf(zip_derived_cl8427_026,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl7191,zip_derived_cl38]) ).
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_cl8447,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl8427,zip_derived_cl3]) ).
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_cl9662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( perp @ X0 @ X1 @ X3 @ X2 )
| ~ ( perp @ X1 @ X0 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8447,zip_derived_cl9]) ).
thf(zip_derived_cl11508,plain,
perp @ sk__20 @ sk__22 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl11492,zip_derived_cl9662]) ).
thf(zip_derived_cl9548_027,plain,
perp @ sk__20 @ sk__21 @ sk__21 @ sk__22,
inference(demod,[status(thm)],[zip_derived_cl1433,zip_derived_cl9531]) ).
thf(zip_derived_cl10460_028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( perp @ X0 @ X2 @ X2 @ X1 )
| ( circle @ ( sk__15 @ X2 @ X1 @ X0 ) @ X0 @ X1 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl10358]) ).
thf(zip_derived_cl10873,plain,
circle @ ( sk__15 @ sk__21 @ sk__22 @ sk__20 ) @ sk__20 @ sk__22 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl9548,zip_derived_cl10460]) ).
thf(zip_derived_cl9543_029,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_cl9531]) ).
thf(zip_derived_cl10902,plain,
perp @ sk__20 @ sk__22 @ sk__22 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl10873,zip_derived_cl9543]) ).
thf(zip_derived_cl7_030,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_cl10909,plain,
perp @ sk__22 @ sk__21 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl10902,zip_derived_cl7]) ).
thf(zip_derived_cl9596_031,plain,
perp @ sk__20 @ sk__21 @ sk__22 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl9548,zip_derived_cl6]) ).
thf(zip_derived_cl8_032,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_cl9639,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__20 @ sk__21 @ X1 @ X0 )
| ~ ( perp @ sk__22 @ sk__21 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9596,zip_derived_cl8]) ).
thf(zip_derived_cl10937,plain,
para @ sk__20 @ sk__21 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl10909,zip_derived_cl9639]) ).
thf(zip_derived_cl9_033,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_cl11022,plain,
! [X0: $i,X1: $i] :
( ( perp @ sk__20 @ sk__21 @ X1 @ X0 )
| ~ ( perp @ sk__20 @ sk__22 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10937,zip_derived_cl9]) ).
thf(zip_derived_cl13251,plain,
perp @ sk__20 @ sk__21 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl11508,zip_derived_cl11022]) ).
thf(zip_derived_cl3683_034,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__25 @ sk__24 @ X1 @ X0 @ sk__24 @ sk__25 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3671,zip_derived_cl39]) ).
thf(zip_derived_cl20_035,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_cl7181,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__25 @ sk__24 @ sk__24 @ sk__25 @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl3683,zip_derived_cl20]) ).
thf(zip_derived_cl74_036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( perp @ X0 @ X1 @ X2 @ X3 )
| ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( perp @ X4 @ X5 @ X6 @ X7 ) ),
inference(cnf,[status(esa)],[ruleD74]) ).
thf(zip_derived_cl8320,plain,
! [X0: $i,X1: $i] :
( ~ ( perp @ X1 @ X0 @ X1 @ X0 )
| ( perp @ sk__25 @ sk__24 @ sk__24 @ sk__25 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7181,zip_derived_cl74]) ).
thf(zip_derived_cl13266,plain,
perp @ sk__25 @ sk__24 @ sk__24 @ sk__25,
inference('sup-',[status(thm)],[zip_derived_cl13251,zip_derived_cl8320]) ).
thf(zip_derived_cl15200,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl15192,zip_derived_cl13266]) ).
thf(zip_derived_cl6_037,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_cl15204,plain,
! [X0: $i,X1: $i] : ( perp @ X1 @ X0 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl15200,zip_derived_cl6]) ).
thf(zip_derived_cl8_038,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_cl15322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( para @ X0 @ X1 @ X3 @ X2 )
| ~ ( perp @ X1 @ X0 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15204,zip_derived_cl8]) ).
thf(zip_derived_cl23643,plain,
! [X0: $i,X1: $i] : ( para @ X0 @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl22768,zip_derived_cl15322]) ).
thf(ruleD45,axiom,
! [A: $i,B: $i,C: $i,E: $i,F: $i] :
( ( ( midp @ E @ A @ B )
& ( para @ E @ F @ B @ C )
& ( coll @ F @ A @ C ) )
=> ( midp @ F @ A @ C ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X3 @ X2 @ X4 )
| ~ ( coll @ X3 @ X1 @ X4 )
| ( midp @ X3 @ X1 @ X4 ) ),
inference(cnf,[status(esa)],[ruleD45]) ).
thf(zip_derived_cl9531_039,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl9487,zip_derived_cl8471]) ).
thf(zip_derived_cl9541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X3 @ X2 @ X4 )
| ( midp @ X3 @ X1 @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl9531]) ).
thf(zip_derived_cl24894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X1 @ X2 @ X0 )
| ~ ( midp @ X0 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl23643,zip_derived_cl9541]) ).
thf(zip_derived_cl20022_040,plain,
! [X0: $i,X2: $i] : ( cong @ X2 @ X0 @ X2 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl10455,zip_derived_cl10456]) ).
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_cl9531_041,plain,
! [X0: $i,X1: $i,X2: $i] : ( coll @ X0 @ X2 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl9487,zip_derived_cl8471]) ).
thf(zip_derived_cl9545,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_cl9531]) ).
thf(zip_derived_cl22294,plain,
! [X0: $i,X1: $i] : ( midp @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl20022,zip_derived_cl9545]) ).
thf(zip_derived_cl8427_042,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl7191,zip_derived_cl38]) ).
thf(zip_derived_cl9541_043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( midp @ X0 @ X1 @ X2 )
| ~ ( para @ X0 @ X3 @ X2 @ X4 )
| ( midp @ X3 @ X1 @ X4 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl9531]) ).
thf(zip_derived_cl10763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midp @ X0 @ X2 @ X0 )
| ~ ( midp @ X1 @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8427,zip_derived_cl9541]) ).
thf(zip_derived_cl22381,plain,
! [X0: $i,X1: $i] : ( midp @ X1 @ X0 @ X1 ),
inference('sup-',[status(thm)],[zip_derived_cl22294,zip_derived_cl10763]) ).
thf(zip_derived_cl24990,plain,
! [X0: $i,X1: $i,X2: $i] : ( midp @ X1 @ X2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl24894,zip_derived_cl22381]) ).
thf(zip_derived_cl24990_044,plain,
! [X0: $i,X1: $i,X2: $i] : ( midp @ X1 @ X2 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl24894,zip_derived_cl22381]) ).
thf(zip_derived_cl25849,plain,
! [X0: $i,X2: $i,X3: $i,X4: $i] : ( para @ X0 @ X3 @ X2 @ X4 ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl24990,zip_derived_cl24990]) ).
thf(zip_derived_cl27508,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl25849]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO626+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Iwwb2wrokJ true
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Aug 29 22:30:17 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Running portfolio for 300 s
% 0.09/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Number of cores: 8
% 0.14/0.30 % Python version: Python 3.6.8
% 0.14/0.30 % Running in FO mode
% 0.14/0.54 % Total configuration time : 435
% 0.14/0.54 % Estimated wc time : 1092
% 0.14/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.14/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.60 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 24.10/4.00 % Solved by fo/fo5.sh.
% 24.10/4.00 % done 13119 iterations in 3.374s
% 24.10/4.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 24.10/4.00 % SZS output start Refutation
% See solution above
% 24.10/4.00
% 24.10/4.00
% 24.10/4.00 % Terminating...
% 24.79/4.07 % Runner terminated.
% 24.79/4.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------