TSTP Solution File: GEO635+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO635+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1oqJlBkrQW true
% Computer : n029.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 23:59:32 EDT 2023
% Result : Theorem 221.69s 32.41s
% Output : Refutation 221.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 48
% Syntax : Number of formulae : 281 ( 116 unt; 17 typ; 0 def)
% Number of atoms : 479 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 2492 ( 158 ~; 156 |; 27 &;2119 @)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 17 usr; 8 con; 0-8 aty)
% Number of variables : 697 ( 0 ^; 695 !; 2 ?; 697 :)
% Comments :
%------------------------------------------------------------------------------
thf(perp_type,type,
perp: $i > $i > $i > $i > $o ).
thf(sk__26_type,type,
sk__26: $i ).
thf(cong_type,type,
cong: $i > $i > $i > $i > $o ).
thf(midp_type,type,
midp: $i > $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $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__24_type,type,
sk__24: $i ).
thf(sk__20_type,type,
sk__20: $i ).
thf(sk__25_type,type,
sk__25: $i ).
thf(sk__23_type,type,
sk__23: $i ).
thf(sk__6_type,type,
sk__6: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i > $i > $i ).
thf(coll_type,type,
coll: $i > $i > $i > $o ).
thf(cyclic_type,type,
cyclic: $i > $i > $i > $i > $o ).
thf(para_type,type,
para: $i > $i > $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(exemplo6GDDFULL8110998,conjecture,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i,NWPNT2: $i] :
( ( ( circle @ D @ A @ B @ C )
& ( coll @ E @ A @ B )
& ( circle @ D @ A @ F @ NWPNT1 )
& ( eqangle @ A @ C @ C @ E @ F @ C @ C @ B )
& ( circle @ D @ C @ G @ NWPNT2 )
& ( coll @ G @ C @ E ) )
=> ( para @ A @ B @ G @ F ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i,NWPNT2: $i] :
( ( ( circle @ D @ A @ B @ C )
& ( coll @ E @ A @ B )
& ( circle @ D @ A @ F @ NWPNT1 )
& ( eqangle @ A @ C @ C @ E @ F @ C @ C @ B )
& ( circle @ D @ C @ G @ NWPNT2 )
& ( coll @ G @ C @ E ) )
=> ( para @ A @ B @ G @ F ) ),
inference('cnf.neg',[status(esa)],[exemplo6GDDFULL8110998]) ).
thf(zip_derived_cl119,plain,
~ ( para @ sk__20 @ sk__21 @ sk__26 @ sk__25 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118,plain,
coll @ sk__26 @ sk__22 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl158,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_cl170,plain,
coll @ sk__24 @ sk__24 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl158]) ).
thf(zip_derived_cl115,plain,
coll @ sk__24 @ sk__20 @ sk__21,
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_cl125,plain,
coll @ sk__20 @ sk__24 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl1]) ).
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_cl130,plain,
coll @ sk__20 @ sk__21 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl0]) ).
thf(zip_derived_cl158_001,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_cl160,plain,
coll @ sk__24 @ sk__24 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl158]) ).
thf(zip_derived_cl2_002,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_cl173,plain,
! [X0: $i] :
( ( coll @ sk__20 @ X0 @ sk__24 )
| ~ ( coll @ sk__24 @ sk__24 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl2]) ).
thf(zip_derived_cl391,plain,
coll @ sk__20 @ sk__26 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl173]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl397,plain,
coll @ sk__20 @ sk__24 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl0]) ).
thf(zip_derived_cl158_004,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_cl413,plain,
coll @ sk__26 @ sk__26 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl397,zip_derived_cl158]) ).
thf(zip_derived_cl158_005,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_cl445,plain,
coll @ sk__20 @ sk__20 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl158]) ).
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_cl1658,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_cl1658_006,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_cl1663,plain,
perp @ sk__20 @ sk__23 @ ( sk__11 @ sk__23 @ sk__20 ) @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl1658,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_cl1675,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_cl1663,zip_derived_cl8]) ).
thf(zip_derived_cl1712,plain,
para @ sk__20 @ sk__23 @ sk__20 @ sk__23,
inference('sup-',[status(thm)],[zip_derived_cl1658,zip_derived_cl1675]) ).
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_cl1716,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1712,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_cl10629,plain,
! [X0: $i] :
( ~ ( coll @ sk__20 @ sk__20 @ X0 )
| ( cyclic @ sk__23 @ X0 @ sk__20 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl42]) ).
thf(zip_derived_cl10666,plain,
cyclic @ sk__23 @ sk__26 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl10629]) ).
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_cl491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X2 @ X1 @ X0 @ X0 )
| ~ ( cyclic @ X3 @ X2 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl10714,plain,
cyclic @ sk__26 @ sk__20 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl10666,zip_derived_cl491]) ).
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_cl10843,plain,
eqangle @ sk__20 @ sk__26 @ sk__20 @ sk__20 @ sk__20 @ sk__26 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl10714,zip_derived_cl40]) ).
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_cl171850,plain,
( ~ ( cyclic @ sk__26 @ sk__20 @ sk__20 @ sk__20 )
| ~ ( cyclic @ sk__26 @ sk__20 @ sk__20 @ sk__26 )
| ~ ( cyclic @ sk__26 @ sk__20 @ sk__20 @ sk__20 )
| ( cong @ sk__26 @ sk__20 @ sk__26 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10843,zip_derived_cl43]) ).
thf(zip_derived_cl10714_007,plain,
cyclic @ sk__26 @ sk__20 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl10666,zip_derived_cl491]) ).
thf(zip_derived_cl10666_008,plain,
cyclic @ sk__23 @ sk__26 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl10629]) ).
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_cl10710,plain,
cyclic @ sk__23 @ sk__20 @ sk__26 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl10666,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_cl10825,plain,
cyclic @ sk__23 @ sk__20 @ sk__20 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl10710,zip_derived_cl13]) ).
thf(zip_derived_cl491_009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X2 @ X1 @ X0 @ X0 )
| ~ ( cyclic @ X3 @ X2 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl10984,plain,
cyclic @ sk__20 @ sk__20 @ sk__26 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl10825,zip_derived_cl491]) ).
thf(zip_derived_cl14_010,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_cl11203,plain,
cyclic @ sk__20 @ sk__26 @ sk__20 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl10984,zip_derived_cl14]) ).
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_cl11452,plain,
cyclic @ sk__26 @ sk__20 @ sk__20 @ sk__26,
inference('sup-',[status(thm)],[zip_derived_cl11203,zip_derived_cl15]) ).
thf(zip_derived_cl10714_011,plain,
cyclic @ sk__26 @ sk__20 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl10666,zip_derived_cl491]) ).
thf(zip_derived_cl171851,plain,
cong @ sk__26 @ sk__20 @ sk__26 @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl171850,zip_derived_cl10714,zip_derived_cl11452,zip_derived_cl10714]) ).
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_cl1241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( perp @ X2 @ X1 @ X0 @ X0 )
| ~ ( cong @ X2 @ X0 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl197876,plain,
perp @ sk__26 @ sk__26 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl171851,zip_derived_cl1241]) ).
thf(zip_derived_cl8_012,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_cl223985,plain,
! [X0: $i,X1: $i] :
( ( para @ sk__26 @ sk__26 @ X1 @ X0 )
| ~ ( perp @ sk__20 @ sk__20 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl197876,zip_derived_cl8]) ).
thf(zip_derived_cl117,plain,
eqangle @ sk__20 @ sk__22 @ sk__22 @ sk__24 @ sk__25 @ sk__22 @ sk__22 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl519,plain,
eqangle @ sk__22 @ sk__20 @ sk__22 @ sk__24 @ sk__25 @ sk__22 @ sk__22 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl17]) ).
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_cl740,plain,
eqangle @ sk__22 @ sk__24 @ sk__22 @ sk__20 @ sk__22 @ sk__21 @ sk__25 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl18]) ).
thf(ruleD20,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 @ P @ Q @ U @ V @ A @ B @ C @ D ) ) ).
thf(zip_derived_cl19,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 @ X4 @ X5 @ X6 @ X7 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD20]) ).
thf(zip_derived_cl789,plain,
eqangle @ sk__22 @ sk__21 @ sk__25 @ sk__22 @ sk__22 @ sk__24 @ sk__22 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl740,zip_derived_cl19]) ).
thf(zip_derived_cl740_013,plain,
eqangle @ sk__22 @ sk__24 @ sk__22 @ sk__20 @ sk__22 @ sk__21 @ sk__25 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl18]) ).
thf(ruleD22,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
& ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
=> ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( eqangle @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 )
| ( eqangle @ X0 @ X1 @ X2 @ X3 @ X8 @ X9 @ X10 @ X11 ) ),
inference(cnf,[status(esa)],[ruleD22]) ).
thf(zip_derived_cl786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eqangle @ sk__22 @ sk__24 @ sk__22 @ sk__20 @ X3 @ X2 @ X1 @ X0 )
| ~ ( eqangle @ sk__22 @ sk__21 @ sk__25 @ sk__22 @ X3 @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl740,zip_derived_cl21]) ).
thf(zip_derived_cl3086,plain,
eqangle @ sk__22 @ sk__24 @ sk__22 @ sk__20 @ sk__22 @ sk__24 @ sk__22 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl789,zip_derived_cl786]) ).
thf(zip_derived_cl43_014,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_cl43026,plain,
( ~ ( cyclic @ sk__24 @ sk__20 @ sk__22 @ sk__22 )
| ~ ( cyclic @ sk__24 @ sk__20 @ sk__22 @ sk__24 )
| ~ ( cyclic @ sk__24 @ sk__20 @ sk__22 @ sk__20 )
| ( cong @ sk__24 @ sk__20 @ sk__24 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3086,zip_derived_cl43]) ).
thf(zip_derived_cl519_015,plain,
eqangle @ sk__22 @ sk__20 @ sk__22 @ sk__24 @ sk__25 @ sk__22 @ sk__22 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl17]) ).
thf(zip_derived_cl19_016,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 @ X4 @ X5 @ X6 @ X7 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD20]) ).
thf(zip_derived_cl741,plain,
eqangle @ sk__25 @ sk__22 @ sk__22 @ sk__21 @ sk__22 @ sk__20 @ sk__22 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl19]) ).
thf(zip_derived_cl519_017,plain,
eqangle @ sk__22 @ sk__20 @ sk__22 @ sk__24 @ sk__25 @ sk__22 @ sk__22 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl17]) ).
thf(zip_derived_cl21_018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( eqangle @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 )
| ( eqangle @ X0 @ X1 @ X2 @ X3 @ X8 @ X9 @ X10 @ X11 ) ),
inference(cnf,[status(esa)],[ruleD22]) ).
thf(zip_derived_cl738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eqangle @ sk__22 @ sk__20 @ sk__22 @ sk__24 @ X3 @ X2 @ X1 @ X0 )
| ~ ( eqangle @ sk__25 @ sk__22 @ sk__22 @ sk__21 @ X3 @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl519,zip_derived_cl21]) ).
thf(zip_derived_cl2989,plain,
eqangle @ sk__22 @ sk__20 @ sk__22 @ sk__24 @ sk__22 @ sk__20 @ sk__22 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl741,zip_derived_cl738]) ).
thf(zip_derived_cl42_019,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_cl40763,plain,
( ~ ( coll @ sk__22 @ sk__22 @ sk__24 )
| ( cyclic @ sk__20 @ sk__24 @ sk__22 @ sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2989,zip_derived_cl42]) ).
thf(zip_derived_cl118_020,plain,
coll @ sk__26 @ sk__22 @ sk__24,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl121,plain,
coll @ sk__26 @ sk__24 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl118,zip_derived_cl0]) ).
thf(zip_derived_cl1_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl128,plain,
coll @ sk__24 @ sk__26 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl1]) ).
thf(zip_derived_cl158_023,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_cl169,plain,
coll @ sk__22 @ sk__22 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl158]) ).
thf(zip_derived_cl40770,plain,
cyclic @ sk__20 @ sk__24 @ sk__22 @ sk__22,
inference(demod,[status(thm)],[zip_derived_cl40763,zip_derived_cl169]) ).
thf(zip_derived_cl15_024,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_cl40777,plain,
cyclic @ sk__24 @ sk__20 @ sk__22 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl40770,zip_derived_cl15]) ).
thf(zip_derived_cl40770_025,plain,
cyclic @ sk__20 @ sk__24 @ sk__22 @ sk__22,
inference(demod,[status(thm)],[zip_derived_cl40763,zip_derived_cl169]) ).
thf(zip_derived_cl14_026,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_cl40776,plain,
cyclic @ sk__20 @ sk__22 @ sk__24 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl40770,zip_derived_cl14]) ).
thf(zip_derived_cl13_027,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_cl40783,plain,
cyclic @ sk__20 @ sk__22 @ sk__22 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl40776,zip_derived_cl13]) ).
thf(zip_derived_cl15_028,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_cl40808,plain,
cyclic @ sk__22 @ sk__20 @ sk__22 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl40783,zip_derived_cl15]) ).
thf(zip_derived_cl491_029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X2 @ X1 @ X0 @ X0 )
| ~ ( cyclic @ X3 @ X2 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl40849,plain,
cyclic @ sk__20 @ sk__22 @ sk__24 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl40808,zip_derived_cl491]) ).
thf(zip_derived_cl14_030,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_cl40899,plain,
cyclic @ sk__20 @ sk__24 @ sk__22 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl40849,zip_derived_cl14]) ).
thf(zip_derived_cl15_031,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_cl41059,plain,
cyclic @ sk__24 @ sk__20 @ sk__22 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl40899,zip_derived_cl15]) ).
thf(zip_derived_cl40776_032,plain,
cyclic @ sk__20 @ sk__22 @ sk__24 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl40770,zip_derived_cl14]) ).
thf(zip_derived_cl15_033,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_cl40785,plain,
cyclic @ sk__22 @ sk__20 @ sk__24 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl40776,zip_derived_cl15]) ).
thf(zip_derived_cl14_034,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_cl40814,plain,
cyclic @ sk__22 @ sk__24 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl40785,zip_derived_cl14]) ).
thf(zip_derived_cl13_035,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_cl40860,plain,
cyclic @ sk__22 @ sk__24 @ sk__22 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl40814,zip_derived_cl13]) ).
thf(zip_derived_cl491_036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cyclic @ X2 @ X1 @ X0 @ X0 )
| ~ ( cyclic @ X3 @ X2 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl40925,plain,
cyclic @ sk__24 @ sk__22 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl40860,zip_derived_cl491]) ).
thf(zip_derived_cl14_037,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_cl41099,plain,
cyclic @ sk__24 @ sk__20 @ sk__22 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl40925,zip_derived_cl14]) ).
thf(zip_derived_cl43033,plain,
cong @ sk__24 @ sk__20 @ sk__24 @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl43026,zip_derived_cl40777,zip_derived_cl41059,zip_derived_cl41099]) ).
thf(ruleD23,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cong @ A @ B @ C @ D )
=> ( cong @ A @ B @ D @ C ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD23]) ).
thf(zip_derived_cl43185,plain,
cong @ sk__24 @ sk__20 @ sk__20 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl43033,zip_derived_cl22]) ).
thf(ruleD24,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( cong @ A @ B @ C @ D )
=> ( cong @ C @ D @ A @ B ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X2 @ X3 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD24]) ).
thf(zip_derived_cl43721,plain,
cong @ sk__20 @ sk__24 @ sk__24 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl43185,zip_derived_cl23]) ).
thf(zip_derived_cl22_038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( cong @ X0 @ X1 @ X2 @ X3 )
| ~ ( cong @ X0 @ X1 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD23]) ).
thf(zip_derived_cl44325,plain,
cong @ sk__20 @ sk__24 @ sk__20 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl43721,zip_derived_cl22]) ).
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_cl46404,plain,
( ~ ( coll @ sk__20 @ sk__24 @ sk__24 )
| ( midp @ sk__20 @ sk__24 @ sk__24 ) ),
inference('sup-',[status(thm)],[zip_derived_cl44325,zip_derived_cl67]) ).
thf(zip_derived_cl160_039,plain,
coll @ sk__24 @ sk__24 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl158]) ).
thf(zip_derived_cl0_040,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl174,plain,
coll @ sk__24 @ sk__20 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl160,zip_derived_cl0]) ).
thf(zip_derived_cl1_041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl224,plain,
coll @ sk__20 @ sk__24 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl1]) ).
thf(zip_derived_cl46423,plain,
midp @ sk__20 @ sk__24 @ sk__24,
inference(demod,[status(thm)],[zip_derived_cl46404,zip_derived_cl224]) ).
thf(zip_derived_cl117_042,plain,
eqangle @ sk__20 @ sk__22 @ sk__22 @ sk__24 @ sk__25 @ sk__22 @ sk__22 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18_043,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_cl556,plain,
eqangle @ sk__22 @ sk__24 @ sk__20 @ sk__22 @ sk__22 @ sk__21 @ sk__25 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl18]) ).
thf(zip_derived_cl19_044,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 @ X4 @ X5 @ X6 @ X7 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD20]) ).
thf(zip_derived_cl746,plain,
eqangle @ sk__22 @ sk__21 @ sk__25 @ sk__22 @ sk__22 @ sk__24 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl19]) ).
thf(zip_derived_cl556_045,plain,
eqangle @ sk__22 @ sk__24 @ sk__20 @ sk__22 @ sk__22 @ sk__21 @ sk__25 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl18]) ).
thf(zip_derived_cl21_046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( eqangle @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 )
| ( eqangle @ X0 @ X1 @ X2 @ X3 @ X8 @ X9 @ X10 @ X11 ) ),
inference(cnf,[status(esa)],[ruleD22]) ).
thf(zip_derived_cl743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eqangle @ sk__22 @ sk__24 @ sk__20 @ sk__22 @ X3 @ X2 @ X1 @ X0 )
| ~ ( eqangle @ sk__22 @ sk__21 @ sk__25 @ sk__22 @ X3 @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl556,zip_derived_cl21]) ).
thf(zip_derived_cl3004,plain,
eqangle @ sk__22 @ sk__24 @ sk__20 @ sk__22 @ sk__22 @ sk__24 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl746,zip_derived_cl743]) ).
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_cl40940,plain,
para @ sk__22 @ sk__24 @ sk__22 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl3004,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_cl40950,plain,
para @ sk__22 @ sk__24 @ sk__24 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl40940,zip_derived_cl3]) ).
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_cl40974,plain,
para @ sk__24 @ sk__22 @ sk__22 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl40950,zip_derived_cl4]) ).
thf(zip_derived_cl3_047,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_cl40991,plain,
para @ sk__24 @ sk__22 @ sk__24 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl40974,zip_derived_cl3]) ).
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_cl1376,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_cl41019,plain,
! [X0: $i] :
( ~ ( midp @ X0 @ sk__24 @ sk__24 )
| ( midp @ X0 @ sk__22 @ sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl40991,zip_derived_cl1376]) ).
thf(zip_derived_cl46462,plain,
midp @ sk__20 @ sk__22 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl46423,zip_derived_cl41019]) ).
thf(zip_derived_cl117_048,plain,
eqangle @ sk__20 @ sk__22 @ sk__22 @ sk__24 @ sk__25 @ sk__22 @ sk__22 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_049,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 @ X4 @ X5 @ X6 @ X7 @ X0 @ X1 @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD20]) ).
thf(zip_derived_cl584,plain,
eqangle @ sk__25 @ sk__22 @ sk__22 @ sk__21 @ sk__20 @ sk__22 @ sk__22 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl19]) ).
thf(zip_derived_cl117_050,plain,
eqangle @ sk__20 @ sk__22 @ sk__22 @ sk__24 @ sk__25 @ sk__22 @ sk__22 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( ~ ( eqangle @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
| ~ ( eqangle @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 )
| ( eqangle @ X0 @ X1 @ X2 @ X3 @ X8 @ X9 @ X10 @ X11 ) ),
inference(cnf,[status(esa)],[ruleD22]) ).
thf(zip_derived_cl641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( eqangle @ sk__20 @ sk__22 @ sk__22 @ sk__24 @ X3 @ X2 @ X1 @ X0 )
| ~ ( eqangle @ sk__25 @ sk__22 @ sk__22 @ sk__21 @ X3 @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl21]) ).
thf(zip_derived_cl2964,plain,
eqangle @ sk__20 @ sk__22 @ sk__22 @ sk__24 @ sk__20 @ sk__22 @ sk__22 @ sk__24,
inference('sup-',[status(thm)],[zip_derived_cl584,zip_derived_cl641]) ).
thf(zip_derived_cl38_052,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_cl40359,plain,
para @ sk__20 @ sk__22 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl2964,zip_derived_cl38]) ).
thf(zip_derived_cl3_053,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_cl40370,plain,
para @ sk__20 @ sk__22 @ sk__22 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl40359,zip_derived_cl3]) ).
thf(zip_derived_cl4_054,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_cl40394,plain,
para @ sk__22 @ sk__20 @ sk__20 @ sk__22,
inference('sup-',[status(thm)],[zip_derived_cl40370,zip_derived_cl4]) ).
thf(zip_derived_cl3_055,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_cl40413,plain,
para @ sk__22 @ sk__20 @ sk__22 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl40394,zip_derived_cl3]) ).
thf(zip_derived_cl1376_056,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_cl40443,plain,
! [X0: $i] :
( ~ ( midp @ X0 @ sk__22 @ sk__22 )
| ( midp @ X0 @ sk__20 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl40413,zip_derived_cl1376]) ).
thf(zip_derived_cl46506,plain,
midp @ sk__20 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl46462,zip_derived_cl40443]) ).
thf(zip_derived_cl1716_057,plain,
! [X0: $i,X1: $i] : ( eqangle @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl1712,zip_derived_cl39]) ).
thf(zip_derived_cl18_058,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_cl10624,plain,
! [X0: $i,X1: $i] : ( eqangle @ X1 @ X0 @ sk__20 @ sk__23 @ X1 @ X0 @ sk__20 @ sk__23 ),
inference('sup-',[status(thm)],[zip_derived_cl1716,zip_derived_cl18]) ).
thf(zip_derived_cl38_059,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_cl164768,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X0 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl10624,zip_derived_cl38]) ).
thf(zip_derived_cl1376_060,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_cl164815,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X1 )
| ( midp @ X2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl164768,zip_derived_cl1376]) ).
thf(zip_derived_cl165792,plain,
! [X0: $i] : ( midp @ sk__20 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl46506,zip_derived_cl164815]) ).
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_cl165830,plain,
! [X0: $i] : ( cong @ sk__20 @ X0 @ sk__20 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl165792,zip_derived_cl68]) ).
thf(zip_derived_cl56_061,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_cl177843,plain,
! [X0: $i,X1: $i] :
( ( perp @ sk__20 @ sk__20 @ X0 @ X1 )
| ~ ( cong @ sk__20 @ X1 @ sk__20 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl165830,zip_derived_cl56]) ).
thf(zip_derived_cl165830_062,plain,
! [X0: $i] : ( cong @ sk__20 @ X0 @ sk__20 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl165792,zip_derived_cl68]) ).
thf(zip_derived_cl177853,plain,
! [X0: $i,X1: $i] : ( perp @ sk__20 @ sk__20 @ X0 @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl177843,zip_derived_cl165830]) ).
thf(zip_derived_cl223991,plain,
! [X0: $i,X1: $i] : ( para @ sk__26 @ sk__26 @ X1 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl223985,zip_derived_cl177853]) ).
thf(zip_derived_cl43033_063,plain,
cong @ sk__24 @ sk__20 @ sk__24 @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl43026,zip_derived_cl40777,zip_derived_cl41059,zip_derived_cl41099]) ).
thf(zip_derived_cl67_064,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_cl43180,plain,
( ~ ( coll @ sk__24 @ sk__20 @ sk__20 )
| ( midp @ sk__24 @ sk__20 @ sk__20 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43033,zip_derived_cl67]) ).
thf(zip_derived_cl115_065,plain,
coll @ sk__24 @ sk__20 @ sk__21,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_066,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__24 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl0]) ).
thf(zip_derived_cl158_067,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__24,
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl158]) ).
thf(zip_derived_cl0_068,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl202,plain,
coll @ sk__20 @ sk__24 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl0]) ).
thf(zip_derived_cl1_069,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl253,plain,
coll @ sk__24 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl202,zip_derived_cl1]) ).
thf(zip_derived_cl43196,plain,
midp @ sk__24 @ sk__20 @ sk__20,
inference(demod,[status(thm)],[zip_derived_cl43180,zip_derived_cl253]) ).
thf(zip_derived_cl120_070,plain,
coll @ sk__24 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl0]) ).
thf(zip_derived_cl1_071,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[ruleD2]) ).
thf(zip_derived_cl126,plain,
coll @ sk__21 @ sk__24 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl1]) ).
thf(zip_derived_cl158_072,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_cl163,plain,
coll @ sk__20 @ sk__20 @ sk__21,
inference('sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl158]) ).
thf(zip_derived_cl0_073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[ruleD1]) ).
thf(zip_derived_cl186,plain,
coll @ sk__20 @ sk__21 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl0]) ).
thf(zip_derived_cl158_074,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_cl237,plain,
coll @ sk__20 @ sk__20 @ sk__20,
inference('sup-',[status(thm)],[zip_derived_cl186,zip_derived_cl158]) ).
thf(ruleX7,axiom,
! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i,Q: $i] :
? [P: $i] :
( ( ( midp @ M @ A @ B )
& ( midp @ N @ C @ D )
& ( coll @ C @ A @ B )
& ( coll @ D @ A @ B ) )
=> ( midp @ P @ A @ Q ) ) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ ( coll @ X0 @ X1 @ X2 )
| ~ ( coll @ X3 @ X1 @ X2 )
| ~ ( midp @ X4 @ X3 @ X0 )
| ~ ( midp @ X5 @ X1 @ X2 )
| ( midp @ ( sk__6 @ X6 @ X1 ) @ X1 @ X6 ) ),
inference(cnf,[status(esa)],[ruleX7]) ).
thf(zip_derived_cl2185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( midp @ ( sk__6 @ X3 @ X1 ) @ X1 @ X3 )
| ~ ( midp @ X4 @ X1 @ X0 )
| ~ ( midp @ X5 @ X2 @ X2 )
| ~ ( coll @ X2 @ X1 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl2186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X0 @ sk__20 @ sk__20 )
| ~ ( midp @ X1 @ sk__20 @ sk__20 )
| ( midp @ ( sk__6 @ X2 @ sk__20 ) @ sk__20 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl237,zip_derived_cl2185]) ).
thf(zip_derived_cl20294,plain,
! [X0: $i,X1: $i] :
( ( midp @ ( sk__6 @ X0 @ sk__20 ) @ sk__20 @ X0 )
| ~ ( midp @ X1 @ sk__20 @ sk__20 ) ),
inference(condensation,[status(thm)],[zip_derived_cl2186]) ).
thf(zip_derived_cl43238,plain,
! [X0: $i] : ( midp @ ( sk__6 @ X0 @ sk__20 ) @ sk__20 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl43196,zip_derived_cl20294]) ).
thf(ruleD63,axiom,
! [A: $i,B: $i,C: $i,D: $i,M: $i] :
( ( ( midp @ M @ A @ B )
& ( midp @ M @ C @ D ) )
=> ( para @ A @ C @ B @ D ) ) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( midp @ X4 @ X0 @ X2 )
| ~ ( midp @ X4 @ X1 @ X3 ) ),
inference(cnf,[status(esa)],[ruleD63]) ).
thf(zip_derived_cl1365,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( midp @ X2 @ X1 @ X0 )
| ( para @ X1 @ X1 @ X0 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl125060,plain,
! [X0: $i] : ( para @ sk__20 @ sk__20 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl43238,zip_derived_cl1365]) ).
thf(zip_derived_cl125060_075,plain,
! [X0: $i] : ( para @ sk__20 @ sk__20 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl43238,zip_derived_cl1365]) ).
thf(zip_derived_cl4_076,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_cl125479,plain,
! [X0: $i] : ( para @ X0 @ X0 @ sk__20 @ sk__20 ),
inference('sup-',[status(thm)],[zip_derived_cl125060,zip_derived_cl4]) ).
thf(ruleD6,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( para @ A @ B @ C @ D )
& ( para @ C @ D @ E @ F ) )
=> ( para @ A @ B @ E @ F ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( para @ X2 @ X3 @ X4 @ X5 )
| ( para @ X0 @ X1 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD6]) ).
thf(zip_derived_cl125509,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( para @ X0 @ X0 @ X2 @ X1 )
| ~ ( para @ sk__20 @ sk__20 @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl125479,zip_derived_cl5]) ).
thf(zip_derived_cl126839,plain,
! [X0: $i,X1: $i] : ( para @ X1 @ X1 @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl125060,zip_derived_cl125509]) ).
thf(zip_derived_cl5_077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( para @ X2 @ X3 @ X4 @ X5 )
| ( para @ X0 @ X1 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD6]) ).
thf(zip_derived_cl126863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( para @ X1 @ X1 @ X3 @ X2 )
| ~ ( para @ X0 @ X0 @ X3 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl126839,zip_derived_cl5]) ).
thf(zip_derived_cl225732,plain,
! [X0: $i,X1: $i,X2: $i] : ( para @ X2 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl223991,zip_derived_cl126863]) ).
thf(zip_derived_cl4_078,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_cl225781,plain,
! [X0: $i,X1: $i,X2: $i] : ( para @ X1 @ X0 @ X2 @ X2 ),
inference('sup-',[status(thm)],[zip_derived_cl225732,zip_derived_cl4]) ).
thf(zip_derived_cl5_079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( para @ X0 @ X1 @ X2 @ X3 )
| ~ ( para @ X2 @ X3 @ X4 @ X5 )
| ( para @ X0 @ X1 @ X4 @ X5 ) ),
inference(cnf,[status(esa)],[ruleD6]) ).
thf(zip_derived_cl226118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( para @ X2 @ X1 @ X4 @ X3 )
| ~ ( para @ X0 @ X0 @ X4 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl225781,zip_derived_cl5]) ).
thf(zip_derived_cl225732_080,plain,
! [X0: $i,X1: $i,X2: $i] : ( para @ X2 @ X2 @ X1 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl223991,zip_derived_cl126863]) ).
thf(zip_derived_cl226326,plain,
! [X1: $i,X2: $i,X3: $i,X4: $i] : ( para @ X2 @ X1 @ X4 @ X3 ),
inference(demod,[status(thm)],[zip_derived_cl226118,zip_derived_cl225732]) ).
thf(zip_derived_cl226332,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl226326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO635+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1oqJlBkrQW true
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 20:06:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 221.69/32.41 % Solved by fo/fo5.sh.
% 221.69/32.41 % done 98693 iterations in 31.630s
% 221.69/32.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 221.69/32.41 % SZS output start Refutation
% See solution above
% 221.69/32.41
% 221.69/32.41
% 221.69/32.41 % Terminating...
% 221.69/32.45 % Runner terminated.
% 221.69/32.46 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------